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3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the
(b) (10 points) Assuming that the signal x (t) is uniformly distributed, determine the minimum bit rate of a PCM system if th
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid aliasing. (a)
(b) (10 points) Assuming that the signal x (t) is uniformly distributed, determine the minimum bit rate of a PCM system if the SNR due to quantization must exceed 40dB. (c) (10 points) Determine the first null bandwidth of a system that transmits the bits (at the bit rate found in 3b) if a polar NRZ line code is used with square pulses and compare this to the original signal bandwidth.
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