zero order Archives

In problem 9.14 of DSP-Proakis, the objective is to analyze the effect of zero-order interpolation and first-order interpolation to double the number of samples in the sinusoidal $x(n) = \cos(\frac{2\pi n}{N})\ \ \ 0 \le n \le N-1$

while keeping the sampling frequency $F_s = 1/T$ unchanged.

My take:

The first part of the problem (a) is to generate the sequence $y(n)$ having half the frequency of $x(n)$ . For zero-order interpolation, the interpolated samples can be generated by holding the current sample till the new sampling instant (Ref: Section 9.3.1 -Sample and Hold [1]). The impulse response of such a system is a rectangular function.

Continue reading “Zero-order hold and first-order hold based interpolation”