Question

If x(m) and v(m) are the original and interpolated signals and ωy denotes the frequency variable relative to the new sampling rate, then V(ωy)= X(ωyI).

(a) True

(b) False

I have been asked this question in unit test.

Asked question is from Interpolation by a Factor I in section Digital Filters Design of Digital Signal Processing

Answer 1

Correct answer is (a) True

To elaborate: The spectrum of v(m) is obtained by evaluating V(z) = X(z^I) on the unit circle. Thus V(ωy)= X(ωyI), where ωy denotes the frequency variable relative to the new sampling rate.