Consider a continuous time periodic signal y$($t$)=8$ cos $(24$pie.t$)+4$ sin $(18$ pie.t$)($a$)$ State the Nyquist sampling rate of y$($t$).($b$)$ Assume sampling frequency f $=40$ Hz$.$ Write down the sampled data y$[$n$]$ for n $=0,1,,8.$ Suppose y$[0]=$ y$(0).($give you answer correct to $3$ decimal places$)($c$)$ Consider the following quantizerQx$=\{7,$ x $>=5\{5,0<=$ x $<5\{-5,-5<=$ x $<0\{-7,$ x $<-5$ Write down the quantized samples v$[$n$]=$ Q$($y$[$n$])($d$)$ Compute the quantization error q$[$n$]=$ v$[$n$]-$ y$[$n$].$