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assignment2

# assignment2 - ELEC450/512 Summer 2011 Communications Theory...

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ELEC450/512 Summer 2011 Communications Theory and Systems: II Assignment 2 Due: in-class, Monday, June 6, 2011 Department of Electrical and Computer Engineering, University of Victoria Question 1. We wish to transmit a 100-character alphanumeric message in 2 s, using 7-bit ASCII coding, followed by an eighth bit for error correction, per character. A multilevel PAM waveform with M = 32 levels is used (a) Calculate the effective transmitted bit rate and the symbol rate. (b) Repeat part (a) for 16-level PAM, eight-level PAM, four-level PAM, and PCM (binary) waveforms. Question 2. Given an analog waveform that has been sampled at its Nyquist rate, f s , using natural sampling, prove that a waveform (proportional to the original waveform) can be recovered from the samples, using the recovery techniques shown below. The parameter mf s is the frequency of the local oscillator, where m is an integer. 1 s x (t) s PAM Naturally sampled 1 x (t) 1 0 π Local oscillator LPF -f /2 cos(2 mf t) s H(f) f s x (t) f /2 Question 3. A waveform, x ( t ) = 10 cos(1000 t + π/

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assignment2 - ELEC450/512 Summer 2011 Communications Theory...

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