The digital system shown in Fig. P9.36 uses a six-bit (including sign) fixed-point two&#...

The digital system shown in Fig. P9.36 uses a six-bit (including sign) fixed-point two's-complement A/D converter with rounding, and the filter H (z) is implemented using eight-bit (including sign) fixed-point two's-complement fractional arithmetic with rounding. The input x(t) is a zero-mean uniformly distributed random process having autocorrelation Assume that the A/D converter can handle input values up to ±1.0 without overflow.

(a) What value of attenuation should be applied prior to the A/D converter to assure that it does not overflow?

(b) With the attenuation above, what is the signal-to-quantization-noise ratio (SQNR) at the A/D converter output?

(c) The six-bit A/D samples can be left justified, right justified, or centered in the eight-bit word used as the input to the digital filter. What is the correct strategy to use for maximum SNR at the filter output without overflow?

(d) What is the SNR at the output of the filter due to all quantization noise sources?