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AN068 - Design Steps and Results for Changing PCB Layer Thickness

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Application Note <strong>AN068</strong><br />

<strong>AN068</strong><br />

<strong>Design</strong> <strong>Steps</strong> <strong>and</strong> <strong>Results</strong> <strong>for</strong> <strong>Changing</strong> <strong>PCB</strong> layer<br />

thickness <strong>for</strong> Low Power Wireless Reference EVMs<br />

By Rea Schmid<br />

Keywords<br />

• Board Stacking <strong>for</strong> RF <strong>Design</strong><br />

• VSWR changes with Stacking<br />

• B<strong>and</strong>width <strong>and</strong> <strong>Layer</strong> Stacking<br />

• <strong>PCB</strong> <strong>for</strong> CC25xx Devices<br />

• 062 Mil <strong>Layer</strong> Stacking<br />

• FR4 Dielectric Material<br />

• EVM <strong>for</strong> Low Power Wireless<br />

• Board per<strong>for</strong>mance <strong>for</strong> RF <strong>Design</strong><br />

• Matching networks <strong>for</strong> <strong>PCB</strong> Boards<br />

• Discrete Component Balun <strong>Design</strong><br />

• Matching antenna<br />

• RF Filter <strong>Design</strong><br />

Introduction<br />

Texas Instruments provides Evaluation<br />

Modules (EVMs) <strong>for</strong> easy characterization<br />

of the Low Power Wireless (LPW)<br />

products. They provide a means to<br />

underst<strong>and</strong> the device’s operation, <strong>and</strong><br />

decrease the product development time.<br />

Often a customer will copy the hardware<br />

layout, <strong>and</strong> then make small changes that<br />

can cause the per<strong>for</strong>mance to change.<br />

The most common changes are modifying<br />

the layer board stacking or changing<br />

component placement. Each of these will<br />

mistune the matching or filter networks<br />

<strong>and</strong> even the antenna, reducing the<br />

system per<strong>for</strong>mance.<br />

Learning how the <strong>PCB</strong> layer stack causes<br />

a mismatch at the RF connection between<br />

the RF output pins to the antenna is the<br />

scope of this application note.<br />

TI’s Evaluation Boards are designed to be<br />

flexible <strong>and</strong> easy to use. The boards are<br />

designed to accommodate a range of<br />

VSWR to make them acceptable <strong>for</strong> wide<br />

range of use. All EVMs are designed <strong>for</strong> a<br />

maximum VSWR of 2, which translates to<br />

a minimum return loss (RL) of -9.5dB<br />

derived from the S11 s-parameter.<br />

Each TI device specifies a typical load<br />

found in the data sheet that is used to<br />

match <strong>and</strong> complete the maximum power<br />

transfer. The spec is <strong>for</strong> a given<br />

frequency of operation. The number is<br />

used as the starting point <strong>for</strong> designing the<br />

interface to a selected antenna. For many<br />

applications the load is single ended; since<br />

most chips provide a differential<br />

input/output, the circuit often must include<br />

a translation to interface to a single-ended<br />

antenna. Typically these interfaces include<br />

three circuit blocks consisting of a balun, a<br />

filter/matching network, <strong>and</strong> finally a<br />

connection to the antenna, either through<br />

an SMA connector or directly connected.<br />

A note about the use of discrete<br />

components: values at 2.45GHz are often<br />

small with units on the order of pico-farads<br />

<strong>and</strong> nano-henries. There<strong>for</strong>e, the final<br />

solution per<strong>for</strong>mance is often sensitive to<br />

layout traces <strong>and</strong> pads.<br />

There are several methods used to design<br />

<strong>and</strong> select the circuit components <strong>and</strong><br />

trace lengths. The methods often used<br />

are Smith Charts, Simulation programs,<br />

Circuit Analysis, or copying <strong>and</strong> scaling<br />

existing designs. But at the higher<br />

frequencies one must recognize the use of<br />

tools greatly increases the accuracy of the<br />

final design.<br />

1<br />

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Application Note <strong>AN068</strong><br />

Because of the high frequencies <strong>and</strong> the<br />

fact we are using FR4 material, there are<br />

many additional factors to consider; FR4<br />

permittivity, stacking height, magnetic<br />

fields, trace thickness <strong>and</strong> solder mask.<br />

Not to mention it is difficult to make<br />

measurements at these frequencies<br />

without equipment like VNAs or TDRs.<br />

For this discussion we tried to isolate the<br />

effects of changing the stacking height to<br />

better underst<strong>and</strong> its impact upon the<br />

overall board’s per<strong>for</strong>mance as one makes<br />

this change. These results are included at<br />

the end of the application note.<br />

Keywords........................................................................................................................................................ 1<br />

Introduction .................................................................................................................................................... 1<br />

Abbrevations: ............................................................................................................................................. 3<br />

LPW Evaluation Boards ................................................................................................................................. 4<br />

Why RF designs change with Board <strong>Layer</strong> Stacking.................................................................................. 4<br />

Circuit Schematic of balun/matching Network. .......................................................................................... 6<br />

<strong>PCB</strong> Layout Techniques <strong>for</strong> Board Stacking Change..................................................................................... 6<br />

2-<strong>Layer</strong> <strong>Design</strong>s.......................................................................................................................................... 6<br />

<strong>PCB</strong> Traces <strong>and</strong> Transmission Lines .......................................................................................................... 7<br />

Determine the Source Impedance ............................................................................................................... 8<br />

Inductance from Vias.............................................................................................................................. 9<br />

VCO or Crystal Filter ............................................................................................................................... 10<br />

Figure 7, VCO crystal.............................................................................................................................. 10<br />

Current Loops <strong>and</strong> Decoupling................................................................................................................. 10<br />

Transmit & Receive Optimization ............................................................................................................ 11<br />

Sample <strong>Design</strong> <strong>for</strong> Compact <strong>Design</strong>......................................................................................................... 12<br />

Balun / Matching Network Measurements................................................................................................ 14<br />

Sensitivity Comparison............................................................................................................................. 15<br />

Power Output Comparison........................................................................................................................ 16<br />

Spectrum of Board Noise Sources............................................................................................................ 17<br />

Summary................................................................................................................................................... 18<br />

RF Layout Tips............................................................................................................................................. 18<br />

References .................................................................................................................................................... 19<br />

General references .................................................................................................................................... 19<br />

Document History......................................................................................................................................... 19<br />

Figure 2, Schematic of Original Layout 6<br />

Figure 3, 062 mil board layout 7<br />

Figure 4, Microstrip line definition 7<br />

Figure 5, Differential Conversion 9<br />

Figure 6, via inductance <strong>and</strong> Capacitance 9<br />

Figure 8, Placement of Decoupling Caps 11<br />

Figure 9, Single-ended model 12<br />

Figure 10, Differential Balun <strong>and</strong> Pi Filter 12<br />

Figure 11, Smith Chart Plot of Components Only 13<br />

Figure 12, Component Schematics only 13<br />

Figure 13, 031 mill stacking, Impedance of EVM at Antenna SMA 14<br />

Figure 14, 059 stacking height Impedance measured at SMA 15<br />

Figure 15, Schematic of <strong>PCB</strong> model 15<br />

Figure 16 Sensitivity Plot of 62mil (1.6mm) board 16<br />

Figure 17, Sensitivity Plot of 31mil (1.0mm) <strong>PCB</strong> 16<br />

Figure 18, Output Power Plot 1.6mm <strong>PCB</strong> 17<br />

Figure 19, Original Output Power Plot. 17<br />

2<br />

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Application Note <strong>AN068</strong><br />

Figure 20, Spectrum of CC2500 18<br />

Abbrevations:<br />

VNA - Vector Network Analyzer (test equipment)<br />

TDR - Time Domain Reflectometer (test equipment)<br />

TEM - Transverse Electro - Magnetic Mode<br />

FR4 - <strong>PCB</strong> board st<strong>and</strong>ard<br />

SMA - Coaxial <strong>PCB</strong> connector<br />

<strong>PCB</strong> - Printed Circuit Board<br />

LPW - Low Power Wireless<br />

EVM - Evaluation Module<br />

MM - mili-meters<br />

Mil - 1 thous<strong>and</strong> of an inch<br />

VCO - voltage control oscillator<br />

Balun - balance to unbalance trans<strong>for</strong>mer<br />

3<br />

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Application Note <strong>AN068</strong><br />

LPW Evaluation Boards<br />

A LPW evaluation board provides a simple evaluation unit to quickly underst<strong>and</strong> the technical<br />

operation of a Low Power Wireless device from Texas Instruments. As the board is a working<br />

solution to demonstrate both transmit / receive modes, customers can also evaluate a particular<br />

transmit/receive device. They can quickly modify a specific application to gather measurements<br />

related to their product design.<br />

TI’s LPW evaluation boards include the trace layout, component values, the use of FR4 board<br />

materials <strong>and</strong> board thickness to show typical per<strong>for</strong>mance <strong>for</strong> a device. The board serves also<br />

as a reference design as one makes changes to a prototype board. It also cuts development time<br />

<strong>and</strong> allows one to become familiar with the device without worrying about optimizing a RF prototype.<br />

A LPW EVM provides a reference design that is tested <strong>and</strong> measured following many of the same<br />

steps done in a design process as shown below. Using an evaluation unit is good practice <strong>and</strong> is<br />

an excellent reference to compare or copy in your final design. A TI evaluation unit along with<br />

development tools such as SmartRF plat<strong>for</strong>ms make it easier to complete a design with these<br />

devices. The various items verified during EVM development are:<br />

1. B<strong>and</strong>width Optimized <strong>for</strong> Channel Data Rates <strong>and</strong> Power<br />

2. Per<strong>for</strong>mance <strong>and</strong> Sensitivity Measurements<br />

3. Differential to Single-ended Conversion<br />

4. Matching to antenna Dipole, Micro-circuit or Chip<br />

5. Proper routing of Ground <strong>and</strong> Power Returns<br />

6. Low Electric Magnetic Emissions (EMI)<br />

7. Characterization Measurements<br />

8. Antenna Per<strong>for</strong>mance Measurements<br />

Although these parameters are tested on the evaluation unit, one must realize these tests are the<br />

results of the device, <strong>PCB</strong> board, <strong>and</strong> all circuit components. <strong>Changing</strong> a board means verifying<br />

items as shown above prior to final release. The local TI representatives can provide assistance<br />

or suggestions on tools or global st<strong>and</strong>ards when designing with TI wireless devices.<br />

For this app note a CC2500 is used, but this report pertains to all devices which require RF layout<br />

or board stacking changes. Keep in mind that different devices do have different output<br />

impedances <strong>and</strong>/or output stages. There<strong>for</strong>e the solutions might be slightly different <strong>for</strong> those<br />

devices, such as CC110x series.<br />

The stacking height that was chosen <strong>for</strong> the new evaluation unit using the CC2500 board is 62mil<br />

(1.6mm). (The reference design has 31 mil, or 0.8 mm, layer spacing.) All calculations were<br />

done in mils, but can easily be converted to meters by the following expression.<br />

1<br />

1 mil = ( inch)<br />

= 25.4µ<br />

m<br />

1000<br />

Why RF designs change with Board <strong>Layer</strong> Stacking<br />

4<br />

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Application Note <strong>AN068</strong><br />

When designing the balun <strong>and</strong> matching network <strong>for</strong> a RF device, the lessons to learn is the<br />

component values are small at 2.45GHz, <strong>and</strong> <strong>PCB</strong> traces affect the per<strong>for</strong>mance. As the<br />

component tolerances <strong>and</strong> component st<strong>and</strong>ard values prevent selection of the exact circuit<br />

values, the components can be combined with the board’s traces/pads inductance <strong>and</strong><br />

capacitance values to fine tune a network. Doing this requires fewer components <strong>and</strong> makes it<br />

easier to achieve VSWR closer to 1. This will work as long as one keeps the total length of<br />

traces less than ¼ wavelength, then the traces are treated as inductors.<br />

Because the component values are small at these frequencies, the trace <strong>and</strong> pad inductances<br />

<strong>and</strong> capacitances change with layer stack height. This is easily seen if you work with a micro-strip<br />

over a ground plane with air as one dielectric <strong>and</strong> the other a FR4 dielectric. The equation below<br />

shows the impedance change with width <strong>and</strong> height, <strong>and</strong> includes the dielectric correction <strong>for</strong> the<br />

FR4 <strong>PCB</strong> material. This equation below is used when the ratio of width to height is less than 1.<br />

Z<br />

o<br />

60<br />

eff<br />

8 ⋅ h<br />

⋅ln(<br />

w<br />

w<br />

+ )<br />

4 ⋅ h<br />

=<br />

ε<br />

⎥ ⎥⎥⎥ ⎦<br />

Where; h is the board stacking layer spacing<br />

w is the trace width<br />

ε eff is the dielectric correction <strong>for</strong> FR4 derived from free space dielectric permittivity<br />

Because we working with two different dielectrics, air <strong>and</strong> FR4, the correction factor <strong>for</strong> dielectric<br />

is;<br />

ε<br />

eff<br />

⎡<br />

ε<br />

⎢<br />

r<br />

+ 1 ε<br />

r<br />

−1<br />

= + ⋅ ⎢<br />

2 2 ⎢<br />

⎢<br />

⎣<br />

1<br />

12⋅<br />

h<br />

1+<br />

w<br />

⎛ ⎛ w ⎞⎞<br />

+ 0.04⎜1−<br />

⎜ ⎟⎟<br />

⎝ ⎝ h ⎠⎠<br />

Where ε<br />

r<br />

is the permittivity of the FR4 material.<br />

To better illustrate how the impedance changes with the width, height, <strong>and</strong> FR4 dielectric, a plot<br />

(Figure 1) included shows how much change takes place.<br />

Impedance change with stacking height<br />

2<br />

⎤<br />

Impedance Zo<br />

80<br />

75<br />

70<br />

65<br />

60<br />

55<br />

50<br />

45<br />

40<br />

35<br />

30<br />

59 mil stacking<br />

30 mil stacking<br />

2 2.05 2.1 2.15 2.2<br />

Permitivity Square Root e r<br />

Figure 1, Impedance Plot verses layer stacking height<br />

5<br />

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Application Note <strong>AN068</strong><br />

The permittivity is plotted in square root since the equations uses the square root of the air<br />

permittivity to derive the correct impedance along with the width to height ratio.<br />

Since the areas of the traces are in order of 8 to 12 mils the traces are primarily inductive with a<br />

small distributed capacitance. What is important to point out is that <strong>for</strong> a given stacking height the<br />

variation of permittivity only changes the impedance slightly. There<strong>for</strong>e, it can be seen that board<br />

trace impedance is somewhat constant over manufacturing processes.<br />

Circuit Schematic of balun/matching Network.<br />

The schematic, Figure 2, shows the CC2500 balun, matching filter, <strong>and</strong> a 50 Ω trace to an SMA.<br />

The schematic shows the values used on this board, <strong>and</strong> how small the component values are<br />

when working at 2.45GHz.<br />

Figure 2, Schematic of Original Layout<br />

For a network that is well matched (VSWR=1) the values will be an exact match. But as will be<br />

shown in this example the values selected on the 1mm (31mil) board are within the VSWR=2<br />

circle, though slightly mismatched.<br />

<strong>PCB</strong> Layout Techniques <strong>for</strong> Board Stacking Change<br />

2-<strong>Layer</strong> <strong>Design</strong>s<br />

2-layer designs typically require a little more care with the <strong>PCB</strong> routing than designs with designs<br />

with dedicated power <strong>and</strong> ground planes, but can be successfully implemented, as shown in<br />

Figure 3 (layout of the new 62 mil board); the original 30mil (0.8mm) is also on a 2-layer board.<br />

Note that the power supply trace on the 062mil board below shows the component side trace is<br />

made thick so as to present as low as impedance as possible. Large areas of ground on this side<br />

of the board provide a low impedance path <strong>for</strong> decoupling. Whenever possible include a bottom<br />

(copper) side of the board to allow <strong>for</strong> a solid plane under the RF circuitry. This design shows a<br />

VSWR of


Application Note <strong>AN068</strong><br />

Figure 3, 062 mil board layout<br />

A 2-layer <strong>PCB</strong> will be cheaper to manufacture than a 4-layer <strong>PCB</strong>. This paper shows that<br />

microstrip or stripline transmission lines can be implemented on boards with layer spacings<br />

exceeding 0.8mm - 1.00mm (0.031” - 0.039”) without an issue. The balun <strong>and</strong> filter trace widths<br />

<strong>for</strong> the transmission line traces are kept short <strong>and</strong> become part of the tuning network with the final<br />

trace to the SMA set <strong>for</strong> a 50 Ω impedance to match the antenna input. Note what is not shown<br />

are the vias shorting the top (copper) ground to the bottom ground plane. These are necessary to<br />

<strong>for</strong>ce FR4 board TEM resonance to a higher frequency than the CC2500’s 2.45GHz frequencies.<br />

<strong>PCB</strong> Traces <strong>and</strong> Transmission Lines<br />

Figure 4 illustrates an example of a <strong>PCB</strong> trace on the component or top side of the board that is<br />

isolated by the <strong>PCB</strong> dielectric material (typically FR4) from the ground plane layer. From<br />

knowledge of the physical properties of the <strong>PCB</strong> it is possible to construct a transmission line<br />

trace with the desired characteristic impedance.<br />

h<br />

ε r<br />

w<br />

l = length of trace (inches)<br />

w = width of trace (mils)<br />

h = height of trace (mils)<br />

t = thickness of trace (mils)<br />

ε r = <strong>PCB</strong> Permittivity (FR-4 ≈<br />

4.5)<br />

2 ⋅ l<br />

w + h<br />

L(<br />

nH)<br />

= 5.08 ⋅ l ⋅ ln(( ) + 0.5 + 0. 2235⋅<br />

w + h<br />

l<br />

t<br />

2<br />

CL = Z o<br />

0<br />

C(pF) ≈<br />

Figure 4, Microstrip line definition<br />

.67 ( + 1.41)<br />

ln<br />

5.98h<br />

0.8w<br />

+ t<br />

10 mil trace on 0.031”or 0.059” thick <strong>PCB</strong> (FR4) has:<br />

≈ 1.539nH <strong>for</strong> 100mil length<br />

≈ 1.35pF / inch length<br />

⎛<br />

⎜<br />

⎝<br />

ε eff<br />

⎞<br />

⎟<br />

⎠<br />

Z o is the characteristic<br />

impedances<br />

7<br />

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Page of 20


Application Note <strong>AN068</strong><br />

To calculate the required width of the <strong>PCB</strong> trace, W, it is first necessary to calculate the effective<br />

dielectric constant, ε eff , 1 The effective dielectric constant is required because part of the field<br />

generated by the conductor will exist in air ( ε<br />

r<br />

= 1) <strong>and</strong> part in the dielectric material. Assuming<br />

that the thickness of the trace, T, is small compared to the height of the dielectric (T/H < 0.005),<br />

then ε eff an be calculated using the following <strong>for</strong>mula:<br />

w<br />

h<br />

< 1<br />

Z<br />

o<br />

60<br />

eff<br />

8 ⋅ h<br />

⋅ln(<br />

w<br />

+<br />

w<br />

)<br />

4 ⋅ h<br />

e<br />

eff<br />

⎡<br />

ε<br />

⎢<br />

r<br />

+ 1 ε<br />

r<br />

− 1<br />

= + ⋅ ⎢<br />

2 2 ⎢<br />

⎢<br />

⎣<br />

1<br />

12 ⋅ h<br />

1 +<br />

w<br />

⎛ ⎛ w ⎞ ⎞<br />

+ 0.04⎜1<br />

− ⎜ ⎟ ⎟<br />

⎝ ⎝ h ⎠ ⎠<br />

⎤<br />

⎥<br />

⎥<br />

⎥<br />

⎥<br />

⎦<br />

2<br />

w<br />

h<br />

> 1<br />

Z<br />

o<br />

=<br />

e<br />

eff<br />

⎛w<br />

⋅⎜<br />

⎝ h<br />

=<br />

ε<br />

w<br />

120 ⋅π<br />

w<br />

+ 1.393 + 0.667 ⋅ln(<br />

h<br />

⎞<br />

+ 1.444⎟<br />

⎠<br />

e<br />

eff<br />

ε<br />

r<br />

+ 1 ε<br />

r<br />

−1<br />

= + ⋅<br />

2 2<br />

1<br />

12 ⋅h<br />

1+<br />

Determine the Source Impedance<br />

The equivalent circuit of the RF output is shown in Figure 5 below. The differential circuit is hard<br />

to plot on a Smith Chart, so converting to a single-ended equivalent output source makes it easier<br />

to use a Smith Chart <strong>and</strong> VNA when designing a balun.<br />

1 I. J. Bahl <strong>and</strong> D. K. Trvedi, “A <strong>Design</strong>er’s Guide to Microstrip Line”, Microwaves, May 1977<br />

8<br />

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Application Note <strong>AN068</strong><br />

R diff<br />

2<br />

2 ⋅C diff<br />

2 ⋅C diff<br />

R diff<br />

2<br />

Figure 5, Differential Conversion<br />

From the data sheet parameter spec page the recommended load impedance is given as<br />

80+j74Ω. The conjugate of this number Z=Z* is the source’s impedance which is 80-j74Ω. We<br />

normalize this signal by dividing by 50 Ω.<br />

80 − j74<br />

= 1.6 +<br />

50<br />

j1.48<br />

This conjugate (1.6 – j1.48) would be the differential impedance looking back into the plus <strong>and</strong><br />

minus pins of the device. The negative –j implies a capacitance reactance, which we can find at<br />

the frequency of 2.45GHz using the equation that X c is equal to j2πfC <strong>and</strong> Xc is 74 ohms.<br />

1 −15<br />

C diff<br />

= = 878.0X10<br />

2 πf 74<br />

Inductance from Vias<br />

Inductance in RF board design has the largest effect when changing the matching network, balun<br />

design <strong>and</strong> antenna loads. Single- <strong>and</strong> multi-layer boards use vias to connect from one layer or<br />

strip to another. The problem is of increased inductance <strong>and</strong> capacitance between those paths to<br />

return grounds or signal paths. A typical via that connects a top layer ground plane to a bottom<br />

ground plane results in a small inductance added between layers. This can be approximated by<br />

the following <strong>for</strong>mula in Figure 6.<br />

⎡ ⎛ 4h<br />

⎞ ⎤<br />

L(nH) = 2 ⋅ h⎢ln⎜<br />

⎟ + 1⎥<br />

⎣ ⎝ d ⎠ ⎦<br />

C(pF) =<br />

0.55<br />

d<br />

2<br />

ε<br />

r<br />

h d<br />

− d<br />

1<br />

1<br />

C ⋅L<br />

=<br />

2<br />

Z o<br />

h is thickness of <strong>PCB</strong><br />

ε r permittivity of FR4 board<br />

d 1 diameter of the pad surrounding via<br />

d 2 diameter of the pad connecting<br />

ground plane layers.<br />

Figure 6, via inductance <strong>and</strong> Capacitance<br />

9<br />

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Application Note <strong>AN068</strong><br />

For vias with no relief at the layer connections, d1 is zero, <strong>and</strong> the capacitance decreases.<br />

Typically <strong>for</strong> a 1.6mm thickness <strong>PCB</strong> material, a single via can add 1.2nH of inductance <strong>and</strong><br />

0.5pF of capacitance, depending upon the via’s dimensions <strong>and</strong> <strong>PCB</strong> dielectric material, although<br />

the effects can be minimized by ensuring that the inter-via spacing is between 1/10 - l/30<br />

wavelengths.<br />

Sometimes the knowledge of the physical properties of the <strong>PCB</strong> can be used to the advantage of<br />

the design engineer. For example, an inductance derived from a <strong>PCB</strong> trace will offer much greater<br />

repeatability than a commercially available component.<br />

VCO or Crystal Filter<br />

The external VCO crystal of the CC2500 consists of series external traces (that have inductance)<br />

<strong>and</strong> parallel capacitors across a differential input. Hence the <strong>PCB</strong> layout should endeavor to<br />

respect the symmetry of this port. This <strong>PCB</strong> trace line characteristics change with height <strong>and</strong> can<br />

cause changes to the oscillator’s frequency of operation. It’s important when minimizing the<br />

radiation from the VCO circuit to keep the traces as short as possible <strong>and</strong> to re-check the<br />

frequency of oscillation as the traces’ impedances can change the oscillator’s frequency; see<br />

Figure 7.<br />

For a 2-sided layout, maintaining a symmetrical <strong>PCB</strong> layout with respect to the VCO oscillator is<br />

recommended. Note that in the design illustrated here, the traces are kept as short as possible,<br />

<strong>and</strong> the entire circuit is enclosed within a ground or guard b<strong>and</strong>. This ground trace both minimizes<br />

radiation from the VCO as well as prevents noise from being injected directly into the VCO circuit<br />

traces.<br />

VCO oscillator<br />

Figure 7, VCO crystal<br />

To minimize the possibility of inductive cross coupling between the VCO <strong>and</strong> the transmitter <strong>and</strong><br />

receiver blocks, it is recommended that the VCO inductor be placed orthogonal to the balun<br />

inductors.<br />

Current Loops <strong>and</strong> Decoupling<br />

Minimize current loops on <strong>PCB</strong> layouts by placing decoupling capacitors close to the part’s power<br />

pin with minimum return paths to ground. In order to compensate <strong>for</strong> the added inductance of the<br />

vias, additional parallel vias help lower the decoupling caps’ ground returns by paralleling the<br />

inductance of the vias. In the circles of Figure 8, below, the decoupling caps are placed in close<br />

proximity to the power pins. Note these caps are C3, C4, C6 <strong>and</strong> C7 seen in Figure 8. Try to<br />

avoid capacitive coupling by ensuring that each circuit block or power port has its own decoupling<br />

10<br />

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Application Note <strong>AN068</strong><br />

capacitor of value suggested in the data sheet. As a rule of thumb, components should not share<br />

vias. An additional 40 pF was added to this design to lower the analog spurs seen in the<br />

continuous output power spectrum after the stacking height was changed.<br />

VDD<br />

FB1<br />

P600R<br />

C16<br />

1 2<br />

1uF<br />

C3<br />

C1<br />

220pF<br />

C6<br />

220pF<br />

C2<br />

.1uF<br />

C5<br />

.1uF<br />

1<br />

2<br />

3<br />

6<br />

7<br />

17<br />

20<br />

SCLK<br />

SO(GDO1)<br />

GDO2<br />

GDO0<br />

CSn<br />

RBIAS<br />

SI<br />

DVDD 4<br />

5<br />

DCOUPL<br />

DGUARD 18<br />

AVDD 9<br />

AVDD 11<br />

GND(PAD)<br />

GND<br />

GND<br />

0<br />

.1uF<br />

C4<br />

.1uF<br />

C7<br />

220pF<br />

AVDD 14<br />

AVDD 15<br />

U1<br />

RF_P<br />

RF_N<br />

XOSC_Q1<br />

XOSC_Q2<br />

12<br />

13<br />

8<br />

10<br />

CC2500<br />

16<br />

19<br />

Placement of Decoupling Caps<br />

Figure 8,<br />

Transmit & Receive Optimization<br />

The Transmit & Receive matching serves two functions; first, to per<strong>for</strong>m a differential to singleended<br />

conversion, <strong>and</strong> secondly to attenuate the level of harmonic products generated due to<br />

circuit non-linearities. The easiest method to design the transmitter <strong>and</strong> receiver matching network<br />

is to use the single-ended source path to derive a matched impedance network. This network is<br />

illustrated below with the dc blocking cap, balun, <strong>and</strong> pi-matching filter calculated based upon singleended<br />

system; see Figure 9.<br />

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Application Note <strong>AN068</strong><br />

Figure 9, Single-ended model<br />

Once L1 <strong>and</strong> C1 are found, then the PI-Network <strong>for</strong> the filter is designed to match the impedance<br />

connected to the SMA, which is generally 50Ω. Once this is done, the values of the balun are<br />

divided by two <strong>and</strong> become the conjugate to create 180 degree phase to make a balun. This is<br />

shown below in Figure 10.<br />

Figure 10, Differential Balun <strong>and</strong> Pi Filter<br />

The matching network is comprised of the following stages:<br />

• L1, C1: Together with <strong>PCB</strong> traces <strong>and</strong> device (packaging) parasitic components <strong>for</strong>ms a resonant<br />

load at the required output frequency.<br />

• The L/2, 2xC's: Are the values needed <strong>for</strong> a differential balun.<br />

• C provides a DC blocking from the RF Output stage.<br />

• C2, C3, L2: Form a PI low-pass harmonic filter.<br />

Note that these values were optimized on the reference design <strong>PCB</strong> <strong>and</strong> will probably not be the<br />

correct values <strong>for</strong> a different <strong>PCB</strong> stacking or layout.<br />

Sample <strong>Design</strong> <strong>for</strong> Compact <strong>Design</strong><br />

First all the impedances are normalized to 50 ohms. Use 2.45GHz, the center of the frequencies <strong>for</strong><br />

the device, as the operating frequency. A simple design procedure can be followed in the outlined<br />

below:<br />

1. Starting at the antenna port (which is assumed to be our 50 ohm reference point) design the pisection<br />

harmonic trap <strong>and</strong> plot on the Smith Chart, as represented in Figure 11, below.<br />

2. Add the series DC block <strong>and</strong> impedance trans<strong>for</strong>mation provided by the series inductor so that the<br />

impedance is trans<strong>for</strong>med from nominally 50 ohms <strong>and</strong> so that it lies on the same arc as the required<br />

load impedance, as illustrated in Figure 11.<br />

3. Finally, design the tuned load to present the optimum impedance to the transmitter stage. From<br />

Figure 15, it can be observed that the overall Q of the matching network is less than 1.0.<br />

12<br />

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Application Note <strong>AN068</strong><br />

4. Point 5 <strong>and</strong> 6 shows adding the balun values.<br />

5. The network can be implemented on stage by stage <strong>PCB</strong>2, enabling the engineer to check the<br />

theoretical results against those of the practical implementation.<br />

Below is a Smith Chart plot of just the component values. As can be seen, this by itself does not<br />

provide the correct load <strong>for</strong> the CC2500 device. Adding the component values <strong>for</strong> the traces<br />

alters the impedance matching network to provide the correct match from the output of the device<br />

to the 50Ω load.<br />

Figure 11, Smith Chart Plot of Components Only<br />

DP-Nr. 1(50.0 + j0.0)Ohm Q = 0.0 2.450 GHz<br />

DP-Nr. 2(21.4 - j24.7)Ohm Q = 1.2 2.450 GHz<br />

DP-Nr. 3(21.4 - j5.7)Ohm Q = 0.3 2.450 GHz<br />

DP-Nr. 4(12.7 - j11.4)Ohm Q = 0.9 2.450 GHz<br />

DP-Nr. 5(12.7 + j26.3)Ohm Q = 2.1 2.450 GHz<br />

DP-Nr. 6(67.1 + j0.0)Ohm Q = 0.0 2.450 GHz<br />

Figure 12, Component Schematics only<br />

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Application Note <strong>AN068</strong><br />

This shows the source to be 1.34+j0 shown in Figure 12 <strong>and</strong> doesn’t agree with the original<br />

source impedance of 1.6+j1.48. There<strong>for</strong>e to plot the correct match, include the traces’<br />

inductances to achieve a lower VSWR number.<br />

Balun / Matching Network Measurements<br />

As we design the balun <strong>and</strong> matching network it is important to match the antenna’s feed line. It<br />

is a good idea to check that we accomplished this by observing how close to 50+j0 the system<br />

looks at the SMA while the chip is set to receive mode. Connecting a Vector Network Analyzer<br />

into S11 mode <strong>and</strong> calibrated <strong>for</strong> open, short <strong>and</strong> 50 ohm at connection of the SMA allows one to<br />

measure the input impedance <strong>and</strong> return loss. Place the CC2500 device in receive mode <strong>and</strong><br />

lower the VNA power output to -30 or -40dB so not to saturate the LNA. From the Smith Chart,<br />

Figure 13 & 14 the impedance is shown as viewed from the antenna.<br />

The target value is 50 +j0, creating a perfect match to the antenna with 50Ω at 2.45GHz is shown<br />

in Figure 14. The original 30mil (0.8mm) board showed an impedance of 41.21+j11 <strong>and</strong> is well<br />

within VSWR circle of 2. But since this is lower in value the power transmitted to the antenna is<br />

slightly low due to the reflected voltage from the mismatch.<br />

Figure 13, 031 mill stacking, Impedance of EVM at Antenna SMA<br />

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Application Note <strong>AN068</strong><br />

Figure 14, 059 stacking height Impedance measured at SMA<br />

The closer the match is to 50+j0, the better the efficiency between the SMA <strong>and</strong> the selected<br />

antenna.<br />

Sometimes the quickest method to use is a good 3-D <strong>PCB</strong> simulator. Below shows the schematic<br />

<strong>and</strong> elements using Advanced <strong>Design</strong> System from Agilent to per<strong>for</strong>m the simulations. This<br />

method provides simulation files <strong>and</strong> the ability to check the final design’s S21 as well as S11.<br />

Metal-1<br />

Dielectric-1<br />

Metal-2<br />

Metal-i : T[i], COND[i], TYPE[i]<br />

Dielectric-i : ER[i], H[i], TAND[i]<br />

MLSUBSTRATE2<br />

Subst1<br />

Er=4.7<br />

H=59 mil<br />

TanD=0.002<br />

T[1]=1.4 mil<br />

Cond[1]=4.1E7<br />

T[2]=1.4 mil<br />

Cond[2]=4.1E7<br />

<strong>Layer</strong>Type[1]=signal<br />

<strong>Layer</strong>Type[2]=ground<br />

muRata<br />

MURATAInclude<br />

muRata<br />

Disp<br />

Temp<br />

DisplayTemplate<br />

disptemp1<br />

"S_Params_Quad_dB_Smith"<br />

LQG15<br />

L1<br />

Value="1.2[nH]"<br />

S-PARAMETERS<br />

S_Param<br />

SP1<br />

Start=1.0 GHz<br />

Stop=10.0 GHz<br />

Step=0.1 GHz<br />

GRM15<br />

C6<br />

Value="1.8[pF]"<br />

Port<br />

P1<br />

Num=1<br />

ML1CTL_C<br />

TL1<br />

Subst="Subst1"<br />

Length=38.2 mil<br />

W=10.0 mil<br />

GRM15<br />

C8<br />

Value="100[pF]"<br />

ML1CTL_C<br />

TL3<br />

Subst="Subst1"<br />

Length=35.5 mil<br />

W=10.0 mil<br />

ML1CTL_C<br />

TL5<br />

Subst="Subst1"<br />

Length=35.5 mil<br />

W=10.0 mil<br />

GRM15<br />

C4<br />

Value="1[pF]"<br />

MCURVE2<br />

Curve1<br />

Subst="Subst1"<br />

W=30 mil<br />

Angle=90<br />

Radius=30 mil<br />

Nmode=2<br />

ML1CTL_C<br />

TL6<br />

Subst="Subst1"<br />

Length=35.5 mil<br />

W=10.0 mil<br />

LQG15<br />

L3<br />

Value="1.2[nH]"<br />

ML1CTL_C<br />

TL8<br />

Subst="Subst1"<br />

Length=35.0 mil<br />

W=10.0 mil<br />

ML1CTL_C<br />

TL7<br />

Subst="Subst1"<br />

Length=195 mil<br />

W=55 mil<br />

Port<br />

P2<br />

Num=2<br />

GRM15<br />

Port<br />

P3<br />

Num=3<br />

ML1CTL_C<br />

TL2<br />

Subst="Subst1"<br />

Length=38.2 mil<br />

W=10.0 mil<br />

GRM15<br />

C2<br />

Value="100[pF]"<br />

ML1CTL_C<br />

TL4<br />

Subst="Subst1"<br />

Length=35.5 mil<br />

W=10.0 mil<br />

GRM15<br />

C9<br />

Value="1[pF]"<br />

LQG15<br />

L2<br />

Value="1.2[nH]"<br />

MCURVE2<br />

Curve2<br />

Subst="Subst1"<br />

W=30 mil<br />

Angle=90<br />

Radius=30 mil<br />

Nmode=2<br />

C5<br />

Value="1.5[pF]"<br />

Figure 15, Schematic of <strong>PCB</strong> model<br />

The component values in this simulation were from Murata but equivalent values from Pansonic<br />

<strong>and</strong> other vendors will work. The component values used in s-parameter simulation were<br />

supplied by the component manufacturers. Selecting the correct types of components requires<br />

careful considerations of the devices’ self-resonances <strong>and</strong> package parasitics, both of which will<br />

change the per<strong>for</strong>mance.<br />

Sensitivity Comparison<br />

The receiver sensitivity is a measurement of the receiver’s input packet error rate. Since noise is<br />

measured in dB or power the noise floor <strong>for</strong> the board should be at least -3dB or lower than the<br />

input Noise Figure of the receiver. For 2-layer boards reducing the noise is accomplished by<br />

adding ground planes on top <strong>and</strong> bottom of the board. The plot in Figure 18 <strong>and</strong> 19 show the<br />

per<strong>for</strong>mance improvement over the original board with both the stacking <strong>and</strong> rules followed in this<br />

discussion to improve the per<strong>for</strong>mance.<br />

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Application Note <strong>AN068</strong><br />

062 Mil EVM CC2500<br />

-82<br />

-83<br />

-84<br />

250Kbytes / sec data rate<br />

typical should be -89dBM @room temp. (3.0V) boards averaged -89.67<br />

-85<br />

Sensitivity (dB)<br />

-86<br />

-87<br />

-88<br />

-89<br />

-90<br />

-91<br />

-92<br />

-40 -20 0 20 40 60 80<br />

Temperature deg C<br />

1.8 Volts 3.6 volts Max 3.6 Min 1.8<br />

Figure 16 Sensitivity Plot of 62mil (1.6mm) board<br />

Note the variation of packet errors was reduced on this new board layout as shown in Figure<br />

Figure 16 compared to Figure 17, 31mil (1mm board). Across temperature the 31mil (1 mm)<br />

board had 4 dB variations in temperature <strong>and</strong> voltage while the 62mil (1.6mm) board shows 2.2<br />

dB.<br />

Sensitivity@2440 MHz<br />

Average data<br />

Temperature [°C]<br />

-40 25 85<br />

1.8 -90.3 -89.4 -87.1<br />

VDD [V] 3 -88.5 -89.0 -86.3<br />

3.6 -87.7 -88.2 -85.8<br />

Minimum data Temperature [°C]<br />

-40 25 85<br />

1.8 -91.7 -90.9 -88.3<br />

VDD [V] 3 -90.5 -90.3 -87.7<br />

3.6 -89.9 -89.5 -87.5<br />

Maximum data Temperature [°C]<br />

-40 25 85<br />

1.8 -89.7 -88.5 -86.5<br />

VDD [V] 3 -87.7 -87.5 -84.1<br />

3.6 -84.7 -86.7 -83.5<br />

St<strong>and</strong>ard deviation Temperature [°C]<br />

-40 25 85<br />

1.8 0.8 0.9 0.7<br />

VDD [V] 3 1.2 1.1 1.5<br />

3.6 2.4 1.1 1.5<br />

Power [dBm]<br />

-75.0<br />

-77.0<br />

-79.0<br />

-81.0<br />

-83.0<br />

-85.0<br />

-87.0<br />

-89.0<br />

-91.0<br />

-93.0<br />

-95.0<br />

Sensitivity@2440 MHz<br />

-40 25 85<br />

Temperature [°C]<br />

Figure 17, Sensitivity Plot of 31mil (1.0mm) <strong>PCB</strong><br />

Max data<br />

Avg 1.8V<br />

Avg 3V<br />

Avg 3.6V<br />

Min data<br />

Power Output Comparison<br />

16<br />

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Application Note <strong>AN068</strong><br />

Plotting the output power Figure 18 as measured at the SMA (antenna port) was compared to the<br />

31mil (1.0mm) <strong>PCB</strong> board. The power had a less variation over the total channels viewed.<br />

Worst case deviation was .5 dB compared to the original which has closer to a 1dB variation.<br />

Output Power vs. Freq (25 C, 3.0V<br />

2.0<br />

1.5<br />

1.0<br />

P o w e r ( d B m )<br />

0.5<br />

0.0<br />

Min<br />

Avg<br />

Max<br />

-0.5<br />

-1.0<br />

2 390<br />

2 400<br />

2 410<br />

2 420<br />

2 430<br />

2 440<br />

2450<br />

2460<br />

2470<br />

2480<br />

2490<br />

Freq (MHz)<br />

Figure 18, Output Power Plot 1.6mm <strong>PCB</strong><br />

Output Power vs Frequency (25°C, 3.0V, 5 samples)<br />

2.0<br />

1.5<br />

P o w e r [ d B m ]<br />

1.0<br />

0.5<br />

0.0<br />

Min<br />

Avg<br />

Max<br />

-0.5<br />

-1.0<br />

24 00<br />

24 05<br />

24 10<br />

24 15<br />

24 20<br />

24 25<br />

24 30<br />

24 35<br />

24 40<br />

Freq [MHz]<br />

24 4 5<br />

24 50<br />

24 55<br />

24 60<br />

24 65<br />

24 70<br />

24 75<br />

24 80<br />

Figure 19, Original Output Power Plot.<br />

Spectrum of Board Noise Sources<br />

Putting the channel into continuous transmit <strong>and</strong> looking at the spectrum of the signal <strong>and</strong> its<br />

noise spurs is used to control harmonics <strong>and</strong> noises that are too high <strong>for</strong> st<strong>and</strong>ards or low<br />

sensitivity readings. Placement of decoupling capacitors <strong>and</strong> the values determine how well the<br />

noise spurs are controlled. Often it is best to use smaller package size capacitors like 0402 to<br />

reach a lower noise floor. Below is a spectrum of the original EVM at 31 mils <strong>and</strong> the new board<br />

17<br />

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Application Note <strong>AN068</strong><br />

at 62 mils showed identical results. Because the layer spacing was increased, a 47 pf capacitor<br />

was added to the digital lines to lower harmonics in the signal b<strong>and</strong>. Of course a better<br />

measurement would be phase noise density of the power spectrum. This plot was not included<br />

but is often found in the device data sheet.<br />

Marker 1 [T1] RBW 3 kHz RF Att 10 dB<br />

Ref Lvl -14.82 dBm VBW 3 kHz<br />

-20 dBm 2.43296593 GHz<br />

1<br />

SWT 70 s Unit dBm<br />

-20<br />

A<br />

-30<br />

-40<br />

-50<br />

1AP<br />

-60<br />

-70<br />

-80<br />

-90<br />

-100<br />

-110<br />

-120<br />

Center 2.432965932 GHz<br />

Date: 6.JUL.2008 21:12:21<br />

25 MHz/<br />

Span 250 MHz<br />

Figure 20, Spectrum of CC2500<br />

Summary<br />

The data from the 62mil (1.6mm) EVM showed equivalent per<strong>for</strong>mance to the original 31mil<br />

(0.8mm) EVM over all corners of operation temperature <strong>and</strong> voltage. Although a small sample of<br />

parts (10 boards) were used to compare the results, the new board indicates a closer match <strong>and</strong><br />

the inclusion of the trace lengths in the balun/matching analysis improves the per<strong>for</strong>mance.<br />

Controlling the number of vias used in the digital paths reduce harmonics that might create<br />

current loops in the RF signal path.<br />

The original board S11 matching was just inside a VSWR of 2. Improved matching (shown in the<br />

impedance plots as the 2.45GHz point moving inside a smaller VSWR circle) resulted from<br />

stacking height change <strong>and</strong> demonstrated improved per<strong>for</strong>mance. This was seen in the<br />

sensitivity <strong>and</strong> power variation measurements.<br />

Controlling trace placement, widths, <strong>and</strong> ground all influence EMI on the boards, noise currents,<br />

<strong>and</strong> loop currents. As one might place components close together one should not place device<br />

closer than 20 mils <strong>for</strong> good isolation or low RF leakage. Gerber files found at the TI web site<br />

CC2500 product’s folder under CC2500_REFDES_062 provide the reference board layout <strong>for</strong><br />

copying or further review.<br />

RF Layout Tips<br />

1. Adapt trace widths <strong>for</strong> same characteristic impedance transmission of previous lines when changing the<br />

stacking height of the FR4 <strong>PCB</strong>.<br />

2. For a given stacking height the variation of permittivity only changes the impedance slightly<br />

3. Whenever possible include a bottom (copper) side of the board to allow <strong>for</strong> a solid ground plane under<br />

the RF circuitry<br />

18<br />

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Application Note <strong>AN068</strong><br />

4. Try to avoid using vias in the RF path <strong>and</strong> is they must be used take into account the added inductance<br />

<strong>and</strong> capacitance.<br />

5. Check the frequency of oscillation as the traces’ impedances can change the oscillator’s frequency - extra<br />

capacitance can detune the crystal <strong>and</strong> this means need to be compensated by changing the load capacitors<br />

accordingly.<br />

6. VCO oscillators should be placed orthogonal to the balun inductors<br />

7. Minimize current loops on <strong>PCB</strong> layouts by placing decoupling capacitors close to the part’s power pin<br />

with minimum return paths to ground<br />

8. Try to avoid capacitive coupling by ensuring that each circuit block or power port has its own decoupling<br />

capacitor of value suggested in the data sheet<br />

9. Avoid components returns through share ground vias.<br />

10. Select discrete components whose s-parameter show adequate linearity in frequency of interest.<br />

11. Keep trace lines short when possible, only use long lines as required <strong>for</strong> RF.<br />

References<br />

General references<br />

[1] Presentation “<strong>PCB</strong> Resonance Significance <strong>and</strong> Avoidance”, Lel<strong>and</strong> Swanson,<br />

TI, July 12, 2005<br />

[2] “Signal Integrity Simplified” by Dr. Eric Bogatin, IBN 0-13-066946-6.<br />

Document History<br />

Revision Date Description/Changes<br />

1.0 Initial release.<br />

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responsible or liable <strong>for</strong> any such statements.<br />

TI products are not authorized <strong>for</strong> use in safety-critical applications (such as life support) where a failure of the TI product would reasonably<br />

be expected to cause severe personal injury or death, unless officers of the parties have executed an agreement specifically governing<br />

such use. Buyers represent that they have all necessary expertise in the safety <strong>and</strong> regulatory ramifications of their applications, <strong>and</strong><br />

acknowledge <strong>and</strong> agree that they are solely responsible <strong>for</strong> all legal, regulatory <strong>and</strong> safety-related requirements concerning their products<br />

<strong>and</strong> any use of TI products in such safety-critical applications, notwithst<strong>and</strong>ing any applications-related in<strong>for</strong>mation or support that may be<br />

provided by TI. Further, Buyers must fully indemnify TI <strong>and</strong> its representatives against any damages arising out of the use of TI products in<br />

such safety-critical applications.<br />

TI products are neither designed nor intended <strong>for</strong> use in military/aerospace applications or environments unless the TI products are<br />

specifically designated by TI as military-grade or "enhanced plastic." Only products designated by TI as military-grade meet military<br />

specifications. Buyers acknowledge <strong>and</strong> agree that any such use of TI products which TI has not designated as military-grade is solely at<br />

the Buyer's risk, <strong>and</strong> that they are solely responsible <strong>for</strong> compliance with all legal <strong>and</strong> regulatory requirements in connection with such use.<br />

TI products are neither designed nor intended <strong>for</strong> use in automotive applications or environments unless the specific TI products are<br />

designated by TI as compliant with ISO/TS 16949 requirements. Buyers acknowledge <strong>and</strong> agree that, if they use any non-designated<br />

products in automotive applications, TI will not be responsible <strong>for</strong> any failure to meet such requirements.<br />

Following are URLs where you can obtain in<strong>for</strong>mation on other Texas Instruments products <strong>and</strong> application solutions:<br />

Products<br />

Applications<br />

Amplifiers amplifier.ti.com Audio www.ti.com/audio<br />

Data Converters dataconverter.ti.com Automotive www.ti.com/automotive<br />

DSP dsp.ti.com Broadb<strong>and</strong> www.ti.com/broadb<strong>and</strong><br />

Clocks <strong>and</strong> Timers www.ti.com/clocks Digital Control www.ti.com/digitalcontrol<br />

Interface interface.ti.com Medical www.ti.com/medical<br />

Logic logic.ti.com Military www.ti.com/military<br />

Power Mgmt power.ti.com Optical Networking www.ti.com/opticalnetwork<br />

Microcontrollers microcontroller.ti.com Security www.ti.com/security<br />

RFID www.ti-rfid.com Telephony www.ti.com/telephony<br />

RF/IF <strong>and</strong> ZigBee® Solutions www.ti.com/lprf Video & Imaging www.ti.com/video<br />

Wireless<br />

www.ti.com/wireless<br />

Mailing Address: Texas Instruments, Post Office Box 655303, Dallas, Texas 75265<br />

Copyright © 2008, Texas Instruments Incorporated

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