Find and sketch the unit impulse response h[n] for the following systems: (a) an ideal backward difference system defined by the input-output relationship y[n] = x[n] − x[n − 1] (b) an ideal forward...

Find and sketch the unit impulse response h[n] for the following systems:

(a) an ideal backward difference system defined by the input-output relationship

y[n] = x[n] − x[n − 1]

(b) an ideal forward difference system de- fined by the input-output relationship

y[n] = x[n + 1] − x[n]

(c) a moving-average system defined by the input-output relationship

(d) an accumulator defined by the inputoutput relationship