Power spectral density of a signal is given f Ogp(f) = e 20 W/Hz Accordingly, the power spectral density decreases exponentially with increasing frequency. a) How many Hz is the bandwidth (B) of 3 dB (for power reduction)? b) Find the reciprocal function Rgp (t) corresponding to Ogp(f) (as Fourier conjugate). c) If this signal is passed through an ideal low-pass filter whose transfer function is given in the figure below,Find the average power value of the signal at the output of the filter. fH:)

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Power spectral density of a signal is given
gp(f) = e
20
W/Hz
Accordingly, the power spectral density decreases exponentially with
increasing frequency.
a) How many Hz is the bandwidth (B) of 3 dB (for power reduction)?
b) Find the reciprocal function Rgp (t) corresponding to Ogp(f) (as Fourier
conjugate).
c) If this signal is passed through an ideal low-pass filter whose transfer
function is given in the figure below,Find the average power value of the
signal at the output of the filter.
HO
(Hz)
Transcribed Image Text:Power spectral density of a signal is given gp(f) = e 20 W/Hz Accordingly, the power spectral density decreases exponentially with increasing frequency. a) How many Hz is the bandwidth (B) of 3 dB (for power reduction)? b) Find the reciprocal function Rgp (t) corresponding to Ogp(f) (as Fourier conjugate). c) If this signal is passed through an ideal low-pass filter whose transfer function is given in the figure below,Find the average power value of the signal at the output of the filter. HO (Hz)
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