In a linear interpolator successive sample points are connected by straight-line seg-men...

In a linear interpolator successive sample points are connected by straight-line seg-ments. Thus the resulting interpolated signal can be repressed as

We observe that at Therefore, x(t) has an inherent delay of T seconds in interpolating the actual signal x(t). Figure P6.15 illustrates this linear interpolation technique.

(a) Viewed as a linear filter, show that the linear interpolation with a T-second delay has an impulse response

Derive the corresponding frequency response H(F).

(b) Plot and compare this frequency response with that of the ideal recon-struction filter for a lowpass bandlimited signal.