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(<br />

610<br />

Wire and Wireless Communication Applications Chap. 8<br />

as a function of the communication link parameters, such as transmitted EIRP, space loss,<br />

receiver antenna gain, and the effective input-noise temperature of the receiving system. The<br />

formula that relates these system link parameters to the CNR at the detector input is called the<br />

link budget.<br />

The communication system may be described by the block diagram shown in Fig. 8–24.<br />

In this model, the receiving system from the receiving-antenna output to the detector input is<br />

modeled by one linear block that represents the cascaded stages in the receiving system, such as<br />

a transmission line, a low-noise amplifier (LNA), a down converter, and an IF amplifier. This<br />

linear block describes the overall available power gain and effective input-noise temperature of<br />

these cascaded devices, as described in the preceding section and modeled in Fig. 8–20.<br />

As shown in Fig. 8–24, the CNR at the ideal amplifier input (with gain G a ) is identical<br />

to that at the detector input, because the ideal amplifier adds no excess noise and it amplifies<br />

the signal and noise equally well in a bandwidth of B hertz (the IF bandwidth). Thus, denoting<br />

this simply by CNR, we get<br />

a C N b ! a C N b = a C<br />

Rx N b Det<br />

(8–38)<br />

where these carrier-to-noise power ratios are indicated on the figure.<br />

Cosmic noise<br />

n 1 (t)<br />

m (t)<br />

Transmitter<br />

P Tx<br />

Transmit<br />

antenna<br />

G AT<br />

P EIRP<br />

Free space gain<br />

G FS<br />

+<br />

<br />

+<br />

s(t)+n 1 (t)<br />

Receive<br />

antenna<br />

G AR<br />

P as =kT AR B<br />

r(t)=s(t)+n(t)<br />

<br />

G a<br />

C<br />

C<br />

–– ––<br />

( N Rx<br />

( N<br />

n 2 (t)<br />

Noise-free<br />

linear stage<br />

Excess receiver<br />

noise<br />

P x =kT e B<br />

(<br />

Det<br />

Detector<br />

∼ m (t)<br />

Model for receiver system<br />

consisting of the cascaded<br />

stages: LNA, transmission line,<br />

down converter, and IF amplifier<br />

Figure 8–24<br />

Receiver<br />

Communication system model for link budget evaluation.

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