Write a MATLAB program to implement the sinusoidal analysis-bysynthesis algorithm that you derived in Problem 9.6. Use the audio file ch9aud1.wav. Consider a frame size of $N=512$ samples, no overlap between frames, and $K=20$ sinusoids. In your deliverables, provide the MATLAB program; give the plots of the input audio, $s(n)$, the synthesized signal, $\hat{s}(n)$, and the error, $e(n)=s(n)-\hat{s}(n)$ for the entire audio record.