You are to design a digital communication system to transmit four multiplexed analog signals with bandwidths of 1200 Hz, 900 Hz, 300 Hz and 1500 Hz, respectively. Each analog signal is to be sampled at its own respective Nyquist rates and encoded using linear PCM. The maximum tolerable error for each sample is 1% of the signal's peak voltage (Vo).
(a) What is the minimum PCM word size (bits per sample) required?
(b) What is the minimum transmitted bit rate for each of the sampled signals?
(c) Assume the signals are multiplexed on a sample-by-sample basis (each PCM sample is considered a unit not to be divided between frames). If 10 bits per frame are added for synchronization, what is the minimum frame size required (bits)? How many samples from each signal are included in each frame?
(d) What is the transmitted frame rate of the frame defined in part (c) in frames per second? What is the overall transmitted bit rate of the multiplexed digital communication system (bits per second)?