The sequence x(n) is obtained by sampling an analog signal with period T. From this sign...

The sequence x(n) is obtained by sampling an analog signal with period T. From this signal a new signal is derived having the sampling period T/2 by use of a linear interpolation method described by the equation

(a) Show that this linear interpolation scheme can be realized by basic digital signal processing elements. (b) Determine the spectrum of y(n) when the spectrum of x(n) is

(c) Determine the spectrum of y(n) when the spectrum of x(n) is