Circular convolution: Difference between revisions

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where ''t''<sub>o</sub> is an arbitrary parameter and ''h''<sub>''T''</sub> is a [[periodic summation]] of ''h''.
 
The second integral is called the '''periodic convolution'''<ref name=Oppenheim/><ref name=Jeruchim/><ref name=Udayashankara/> of functions ''x''<sub>''T''</sub> and ''h''<sub>''T''</sub> and is sometimes normalized by 1/''T''.<ref name=Oppenheim/>{{page needed|date=February 2020}} When ''x''<sub>''T''</sub> is expressed as the [[periodic summation]] of another function, ''x'', the same operation may also be referred to as a '''circular convolution'''<ref name=Oppenheim/><ref name=Udayashankara/><ref name=Priemer/> of functions ''h'' and ''x''.
 
== Discrete sequences ==
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|first3=John R.
|title=Discrete-time signal processing
|pages=548,571
|year=1999
|publisher=Prentice Hall