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Fundamentals of Digital Signal Processing

Circular Shift

Explore the concept of circular shift in digital signal processing, which involves shifting signal samples within a fixed length segment and wrapping them around using modulo operations. Understand the difference between circular and regular time shifts and how circular shift applies in frequency domain operations like the discrete Fourier transform.

We'll cover the following...

Time shifting a signal is one of the most fundamental ideas of digital signal processing. Circular shift is very similar to time shift with the following difference:

  • In a regular time shift, the available axis is from −∞-\infty to +∞+\infty.
  • In circular shift, we only focus on a segment of NN samples.

Let us discuss how this is done.

  • If a signal x[n]x[n] is circularly right shifted by mm, the samples of the signal x[n]x[n] that fall off to the right of length-NN
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