$6\mathrm{.}2-2$ A compact disc $($CD$)$ records audio signals digitally by using PCM$.$ Assume that the audio signal bandwidth equals $15$ kHz$.($a$)$ If the Nyquist samples are uniformly quantized into L $=65,536$ levels and then binary$-$coded, determine the number of binary digits required to encode a sample. $($b$)$ If the audio signal has average power ofO. l watt and peak voltage of $1$ volt. Find the resulting signal$-$to$-$quantization$-$noise ratio $($SQNR$)$ of the uniform quantizer output in part $($a$).($c$)$ Determine the number of binary digits per second $($bit$/$s$)$ required to encode the audio signal. $($d$)$ For practical reasons discussed in the text, signals are sampled at a rate well above the Nyquist rate. Practical CDs use $44,100$ samples per second. If L $=65,536,$ determine the number of bits per second required to encode the signal, and the minimum bandwidth required to transmit the encoded signal.