561_hmk2 - ECE 561 Digital Communications Systems Homework...

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ECE 561 – Digital Communications Systems Homework #2 1. An information source has a 100 character alpha numeric message to transmit in 2 seconds using 7-bit ASCII coding with an eighth bit added for error detection. Calculate the bit rate and symbol rate for the following systems: a. Binary b. 4-ary c. 8-ary d. 16-ary e. 32-ary 2. A waveform: x ( t ) = 10cos(2000 π t + / 3) + 20cos(4000 t + / 6) is sampled for digital transmission. a. What is the maximum allowable time interval between sample values? b. How many sample values must be stored to reproduce 1 hour of this waveform? c. If each sample is represented by an 8-bit binary word, how much data must be stored (in bits)? 3. An analog baseband signal x(t) has a Fourier transform, X(f) as shown below. a. What is the maximum sampling interval that can be used? b. If ideal (impulse) sampling is used, sketch the resulting spectrum. c.
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561_hmk2 - ECE 561 Digital Communications Systems Homework...

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