Problem $1$a

A music signal has a $25dB$ peak$-$to$-$rms ratio. Two codec chips are available, $A12-$bit linear PCM codec and an $8-$bit A$-$law standard Companding encoder$/$decoder$.$ Assuming signal peaks are kept $3dB$ below the peak values of the encoders. If the bandwidth of the signal is $10KHz$ and a maximum serial bit rate of $($allow $15\%$ above Nyquist rate for sampling rate?$).$

Solution: