Howtosignalprocessing
- What is the meaning of periodic convolution?
- What is periodic convolution in DSP?
- What is convolution explain with example?
What is the meaning of periodic convolution?
Circular convolution, also known as cyclic convolution, is a special case of periodic convolution, which is the convolution of two periodic functions that have the same period. Periodic convolution arises, for example, in the context of the discrete-time Fourier transform (DTFT).
What is periodic convolution in DSP?
These are called periodic convolution sums. Given the infinite support of periodic signals, the convolution sum of periodic signals does not exist—it would not be finite. The periodic convolution is done only for a period of periodic signals of the same fundamental period.
What is convolution explain with example?
The convolution can be defined for functions on Euclidean space and other groups (as algebraic structures). For example, periodic functions, such as the discrete-time Fourier transform, can be defined on a circle and convolved by periodic convolution. (See row 18 at DTFT § Properties.)
