Write a MATLAB M-file to compute the output response y[n] of the 6-point MA filter to the input x[n]=5sin(πn/10 + π/4), for 0 < n < 69. Express your anser by giving the M-file and the MATLAB plot.
Determine whether the following discrete-time systems are causal or non cancausal, have memory or are memoryless, are linear or non linear, are time invariant or time varying. In the following parts, x[n] is an arbitrary input and y[n] is the response to x[n].
a. y[n] = x[n] + 2x[n - 2]
b. y[n] = x[n] + 2x[n + 1]
c. y[n] = nx[n]
d. y[n] = u[n]x[n]
e. y[n] = Ix[n]I
f. y[n] = sin x[n]
g. y[n] = Σ (0.5)n x[i], n > 0 (integrating from i=0 to n)