# Shifting and phase difference

Assume we have a series v[k] of length M=16. It's shifted to the right in a circular manner by k0=2 samples.

Which phase difference between the DFT spectrum of the original signal and that of the shifted version is to be expected?

The phase shift will be a factor of $$e^{j2\pi k_0 m/M}$$, where $$m$$ is the DFT bin number