Assume a three-bit ADC (eight quantizing levels). We desire to design a compounding system consisting of both a compressor and ex-pander. Assuming that the input signal is a sinusoid, design the compressor such that the sinusoid falls into each quantizing level with equal probability. Implement the compressor using a MATLAB program, and verify the compressor design. Complete the com-pander by designing an ex-pander such that the cascade combination of the compressor and ex-pander has the desired linear characteristic. Using a MATLAB program, verify the overall design.