A digital transmission system uses binary bipolar signaling. The channel adds wh

Question

A digital transmission system uses binary bipolar signaling. The channel adds white Gaussian noise to the signal. After matched filtering at the receiver, the signal is sampled at the bit rate and a decision is made based on each sample as to whether a binary zero or a one was transmitted. The performances of systems designed for three different pulse shapes are to be compared. The figures below show the three pulse shapes at the input to the receiver when a binary one is transmitted. In each case the figure shows only the pulse, not the added noise.

(a) Which of the pulse shape or shapes have the lowest bandwidth and which has the highest bandwidth? Explain your answer.

(b) Sketch the impulse response of the matched filter for the receiver for Pulse Shape B.

(c) Assume that the noise spectral density at the input to the receiver is the same for all three pulse shapes. Which of the pulse shape or shapes will result in the lowest bit error rate and which the highest bit error rate? Explain your answer.

Explanation / Answer

a) pulse B has the lowest bandwidth and pulses A and C has the highest bandwidth

c) pulse C will be with the lowest bit error rate and pulse B with the highest bit error rate

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