Consider the system shown in Figure 8.21, in which an RC high pass filter is followed by an ideal low pass filter having bandwidth W. Assume that the input to the system is A cos(2Ï€f_ct), where f_c< W, plus white noise with double-sided power spectral density 1/2 N₀. Determine the SNR at the output of the ideal low pass filter in terms of N₀, A, R, C, W, and f_c. What is the SNR in the limit as W †’ ˆž?

Figure 8.21

Transcribed Image Text:

Ideal lowpass Input Output filter