Question $1(10$ marks$)$ Consider a continuous time periodic signal $()=8$ cos$(24)+4$ sin$(18)($a$)$ State the Nyquist sampling rate of y$($t$).($b$)$ Assume sampling frequency fs $=40$Hz$.$ Write down the sampled data y$[$n$]$ for n $=0,1,...,8.$ Suppose y$[0]=$ y$(0).($Give your answers correct to $3$ decimal places$)($c$)$ Consider the following quantizer $()=7,5,5,7,50<55<0<5$ Write down the quantized samples v$[$n$]=$ Q$($y$[$n$])($d$)$ Compute the quantization error q$[$n$]=$ v$[$n$]$ y$[$n$].($e$)$ What is the length of bit stream required to store y$($t$)$ for $6$ seconds?