the mathematical expression for the expanding portion of a -law compander. The signal (a) Determine (b) ()-10 exp()+sin(2nt) is sampled at an 20 Hz rate over the interval from 0 to 20 4 seconds. The signal is then quantized. If 8-bit quantization is performed without com pand- ing, determine the root-mean-square (rms) error be tween the unquantized and quantized signals. 1f8-bit quantization is perform with a -law compander with = 255, determine the rms error between the un- quantized signal and quantized signals after expansion. (ii) Use the following Matlab script as a guide for computing the mean square error Fs=20; Ts.UFs; %Sample rate (Hz) %Sample period (s) t-10: Ts: 201% Observation period (s) s = 10'exp(t) + sin(2*pi*t); mu = 100; s = smatabs(s) + eps); % normalize signal level s.mu log(1+mu absts)Mog1+ mu)." sign(s); % mu-law compression % number of bits % quantization to 256 levels (-128 %-Quantization Q= 8; , mug floor(2AQ1)"smul; % non-uniforms or quantization quantization mu. 'signts mu.q)h % Compare . plotsis-s.mu )How do the results of part (b) change if we shorten or d) How do the results of part (b) change if we decrease or in lengthen the observation period? Why? What does this im- ply about companding? crease the number of quantization levels? the mathematical expression for the expanding portion of a -law compander. The signal (a) Determine (b) ()-10 exp()+sin(2nt) is sampled at an 20 Hz rate over the interval from 0 to 20 4 seconds. The signal is then quantized. If 8-bit quantization is performed without com pand- ing, determine the root-mean-square (rms) error be tween the unquantized and quantized signals. 1f8-bit quantization is perform with a -law compander with = 255, determine the rms error between the un- quantized signal and quantized signals after expansion. (ii) Use the following Matlab script as a guide for computing the mean square error Fs=20; Ts.UFs; %Sample rate (Hz) %Sample period (s) t-10: Ts: 201% Observation period (s) s = 10'exp(t) + sin(2*pi*t); mu = 100; s = smatabs(s) + eps); % normalize signal level s.mu log(1+mu absts)Mog1+ mu)." sign(s); % mu-law compression % number of bits % quantization to 256 levels (-128 %-Quantization Q= 8; , mug floor(2AQ1)"smul; % non-uniforms or quantization quantization mu. 'signts mu.q)h % Compare . plotsis-s.mu )How do the results of part (b) change if we shorten or d) How do the results of part (b) change if we decrease or in lengthen the observation period? Why? What does this im- ply about companding? crease the number of quantization levels