1) Design a digital Butterworth (low pass) filter that satisfies the
specs given using bilinear transformation, find h(n)?
.9=<|H(e^jw)|=<1 , 0=<|w|=<.3pi
|H(e^jw)|=<0.1, 0.7pi=<|w|=<pi

2) Assume a block diagram as follows
x(n)--> h(n) --> y(n)
x(n)=cos(.9pi)n
a)find y(n) analytically for given x(n)&h(n) design in problem 1.
b)find y(n) through simulation.(using matlab)