9.6.3 Signal and Noise Propagation through a Chain of Circuits

First, let us consider an amplifier with gain c09-math-1327 and noise factor c09-math-1328. Let c09-math-1329 be incoming signal power and c09-math-1330 be incoming noise power. The SNR of the incoming signal is

At point 0 (Figure 9.6.2, left panel) we add the equivalent noise power of the amplifier c09-math-1332 related to noise factor c09-math-1333 as shown by (9.6.22). Then we allow both signal and the total noise to propagate through a noise-less amplifier in accordance with above. At the output (point 1) one has an SNR in the form

9.6.26 equation

This SNR is degraded compared to that of the incoming signal (9.6.25) due to the noise generated by the amplifier.

Figure 9.6.2 Signal and noise propagation ...

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