ECE633F09_HW7solutions

# ECE633F09_HW7solutions - ECE633 Signals and Systems I Fall...

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ECE633 Signals and Systems I, Fall 2009 – Homework 7 Solutions 1 From: Linear Systems and Signals, 2 nd ed . B. P. Lathi, Oxford University Press, 2005. 2.7-1 Data at a rate of 1 million pulses per second are to be transmitted over a certain communications channel. The unit step response ( ) gt for this channel is shown in Fig. P2.7-1. (a) Can this audio channel transmit data at the required rate? Explain your answer. (b) Can an audio signal consisting of components with frequencies up to 15 kHz be transmitted over this channel with reasonable fidelity? (a) Rise time: 5 10 s hr TT == . Max Bandwidth: 5 10 Hz c f = . Thus, this channel cannot transmit 10 6 pulses/s. (b) 5 15 kHz << . Yes, it can be. 2.7-2 A certain communication channel has a bandwidth of 10 kHz. A pulse of 0.5 ms duration is transmitted over this channel. (a) Determine the width (duration) of the received pulse. (b) Find the maximum rate at which these pulses can be transmitted over this channel without interference between successive pulses.

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ECE633F09_HW7solutions - ECE633 Signals and Systems I Fall...

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