The ADC AD converter has only 8bit resolution If the signal

The ADC (A/D converter) has only 8-bit resolution. If the signal is to be oversampled to achieve the effective SNR of 72 dB. Assume linear quantization and that the signal has uniform distribution. (a) Find the number of quantization levels (b) Find the oversampling ratio. (c) What is the oversampling ratio if one uses the first-order - modulation technique? (d) Describe at least two advantages of oversampling.

Solution

(A.) as we know that, number of quantization level equals to

L=2^N

where L= quantization level

N= no. of bits

then, L= 2⁸ =256 levels

(B.) Oversampling rate M = f_s / f_N>> 1

where, f_N =2B, fs = w_s /2pie ,B= bandwidth

(D.) .> Oversampling improves resolution,

        >Reduces noise

        >avoid aliasing and phase distortion by relaxing anti-aliasing filter performance requirements.