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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>Jeruchim 2000, pp 73-74.</ref><ref name="Uday">Udayashankara 2010, p 189.</ref> of functions ''x''<sub>''T''</sub> and ''h''<sub>''T''</sub> and is sometimes normalized by 1/''T''.<ref>[[#refOppenheim|Oppenheim]], pp 388-389</ref> 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="Uday"/><ref>Priemer 1991, pp 286-289.</ref> of functions ''h'' and ''x''.
== Discrete sequences ==
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== References ==
*Rabiner, Lawrence R.; Gold, Bernard (1975). ''Theory and application of digital signal processing''. Englewood Cliffs, N.J.: Prentice-Hall. pp 63–67. {{ISBN|0-13-914101-4}}
*{{Cite book
|ref=refOppenheim
|last=Oppenheim
|first=Alan V.
|authorlink=Alan V. Oppenheim
|last2=Schafer
|first2=Ronald W.
|author2-link=Ronald W. Schafer
|last3=Buck
|first3=John R.
|title=Discrete-time signal processing
|year=1999
|publisher=Prentice Hall
|___location=Upper Saddle River, N.J.
|isbn=0-13-754920-2
|edition=2nd
|url=https://d1.amobbs.com/bbs_upload782111/files_24/ourdev_523225.pdf
}}
*Priemer, Roland (July 1991). ''Introductory Signal Processing (Advanced Series in Electrical and Computer Engineering) (v. 6)''. Teaneck, N.J.: World Scientific Pub Co Inc. [https://books.google.com/books?id=QBT7nP7zTLgC&printsec=frontcover&dq=Priemer,+Roland&hl=en&sa=X&ei=J2owUZzANIb_ygGex4HAAg&ved=0CC8Q6AEwAA {{isbn|9971509199}}.
*Jeruchim, Michel C.; Philip Balaban, K. Sam Shanmugan (October 2000). ''Simulation of Communication Systems: Modeling, Methodology and Techniques'' (2nd ed.). New York: Kluwer Academic Publishers. {{isbn|0306462672}}.
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