(a) A signal band-limited to 500 kHz is sampled at the rate 50% higher than the Nyquist rate and quantized into 256 levels using an µ-law quantizer with u = :100. (i) Determine the minimum transmission bandwidth and signal-to-quantization-noise ratio (SQNR). (ii) Consider that the SQNR obtained in (i) is not satisfactory and must be increased by 12 dB. Propose one possible way to achieve the desired SQNR without increasing the transmission bandwidth.

[Q2] Different analog signals are sampled at a rate of 26kHz. The samples from these signals are multiplexed via a TDM-PAM system. If these samples are to be transmitted through a channel whose bandwidth is 1.32MHz. (1) What is the maximum number of signals PSM that can be transmitted? (2) If the signals were sampled at the rate 17% over Nyquist, what is the bandwidth of any of these signals?

3. An analog signal xa(t) has frequency components up to and including 100 kHz (2 = 200 rad/s). We desire an output ya(t) to be a filtered version of the input where only frequency components between 0 and 40 kHz are preserved. The filtering is to be accomplished by sampling the cotinuous-time signal and using a digital filter. a) What is the minimum sampling rate that can be used? b) For the minimum sampling rate found in (a), what range of digital frequencies o should be rejected by the filter? c) Sketch the magnitude characteristic of an ideal digital filter that will accomplish the desired filtering operation.