a) create a 512-length signal by using the rand command, then low-pass filter the signal with the filter h=1/2[1 1] to bandlimit the function, which can be represented with by the command filter.m with b1=b2=1/2, and a1=1
b) Upsample the filtered signal x[n] by a factor of 2 to produce v[n] and display it frequency response (length 1024). Describe |V()| and compar it with |X()|.
c) Design an interpolation filter f[n] for v[n]. Computer y[n]=v[n]*f[n]. Graph y[n] and v[n] on the same plot and verify that y[2n]=v[2n].
d) Plot |V()| and |Y()| and describe their relation.
e) Find y1[n]=(2)(3) x[n] and y2[n]=(3)(2) x[n], and verify that y1[n]=y2[n]