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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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<strong>The</strong> Frequency Characteristics of Passive Components<br />

A rule of thumb for whip antennas is that <strong>the</strong>y beg<strong>in</strong> to couple significant energy at about<br />

1/20 of <strong>the</strong> wavelength of <strong>the</strong> received signal, peak<strong>in</strong>g at <strong>the</strong> wavelength. <strong>The</strong>refore,<br />

<strong>the</strong> <strong>10</strong>-cm conductor of <strong>the</strong> previous paragraph will beg<strong>in</strong> to be a fairly good antenna at<br />

frequencies above 150 MHz. Remember that although <strong>the</strong> clock generator on a digital<br />

PCB may not be operat<strong>in</strong>g at a frequency as high as 150 MHz, it approximates a square<br />

wave. Square waves will have harmonics throughout <strong>the</strong> frequency range where PCB<br />

conductors become efficient antennas. If through-hole components are mounted <strong>in</strong> a way<br />

that leaves significant lead length, those component leads also become antennas, particularly<br />

if <strong>the</strong>y are bent.<br />

Ano<strong>the</strong>r major type of antenna is <strong>the</strong> loop. <strong>The</strong> <strong>in</strong>ductance of a straight conductor is dramatically<br />

<strong>in</strong>creased by bend<strong>in</strong>g it <strong>in</strong>to partial or complete loops. Increased <strong>in</strong>ductance lowers<br />

<strong>the</strong> frequency at which <strong>the</strong> conductor couples radiated signals <strong>in</strong>to <strong>the</strong> circuit.<br />

Without realiz<strong>in</strong>g it, most digital designers are well versed <strong>in</strong> loop antenna <strong>the</strong>ory. <strong>The</strong>y<br />

know not to make loops <strong>in</strong> critical signal pathways. Some designers, however, that would<br />

never th<strong>in</strong>k of mak<strong>in</strong>g a loop with a high speed clock or reset signal will turn right around<br />

and create a loop by <strong>the</strong> technique <strong>the</strong>y use for layout of <strong>the</strong> analog section of <strong>the</strong> board.<br />

Loop antennas constructed as loops of wire are easy to visualize. What is not as obvious<br />

is that slot antennas are just as efficient. Consider <strong>the</strong> three cases shown <strong>in</strong> Figure 17–9.<br />

Figure 17–9. Loop and Slot Antenna Board Trace Layouts<br />

Version A is a poor design. It does not use an analog ground plane at all. A loop is formed<br />

by <strong>the</strong> ground and signal traces. An electric field E and perpendicular magnetic field H are<br />

created, and form <strong>the</strong> basis of a loop antenna. A rule of thumb for loop antennas is that<br />

<strong>the</strong> length of each leg is equal to half <strong>the</strong> most efficiently received wavelength. Remember,<br />

however, that even at 1/20 of <strong>the</strong> wavelength, <strong>the</strong> loop will still be a fairly efficient antenna.<br />

Circuit Board Layout Techniques<br />

17-15

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