Consider the system shown in Figure 8 24 The noise is white with two sided power spectral density 1 2 N 0 The power spectral density of the signal is The parameter f 3 is the 3 dB bandwidth of the signal The bandwidth of the ideal low pass filter is W Determine the SNR of y(t) Plot the SNR as a function of W f 3 Figure 8 24 o f o S(f) 1 (f f3) Lowpass filter y(t) x(t) n(t)

Question: Consider the system shown in Figure 8.24. The noise is white with two-sided power spectral density 1/2 N 0 . The power spectral density of

Consider the system shown in Figure 8.24. The noise is white with two-sided power spectral density 1/2 N₀. The power spectral density of the signal is

-o < f < o∞ S„(f) = 1+(f/f3)²’

The parameter f₃ is the 3-dB bandwidth of the signal. The bandwidth of the ideal low pass filter is W. Determine the SNR of y(t). Plot the SNR as a function of W / f₃.

Figure 8.24

-o < f < o S(f) = 1+(f/f3) Lowpass filter y(t) x(t) n(t)

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