A Unified Approach for Dyadic Shift Invariance and Cyclic Shift Invariance

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dc.contributor.authorLiu, K.J. Rayen_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:48:13Z
dc.date.available2007-05-23T09:48:13Z
dc.date.issued1991en_US
dc.description.abstractIn this paper, the concept of the dyadic shift invariance (DSI) and cyclic shift invariant (CSI) functions are proposed. First, basic properties of the DSI and CSI functions are presented. Then, we can show that the Walsh-Hadamard transform (WHT) and discrete Fourier transform (DFT) functions are, in fact, special cases of the DSI and CSI functions, respectively. Many properties of the WHT and DFT can then be obtained easily from DSI and CSI points of view. The proposed unified approach is simple and rigorous. We will show that the properties of the WHT and DFT are the consequence of the basic principles of the DSI and CSI functions.en_US
dc.format.extent288049 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5107
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1991-59en_US
dc.subjectsignal processingen_US
dc.subjectSystems Integrationen_US
dc.titleA Unified Approach for Dyadic Shift Invariance and Cyclic Shift Invarianceen_US
dc.typeTechnical Reporten_US

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