A Linear Phase Condition for Volterra Filters
In linear finite-impulse-response filter design, it is desirable that the filter frequency response has linear phase (LP). In this brief, we investigate the LP concept for nonlinear Volterra filters. The LP condition of Volterra filters is defined in terms of its output spectrum in which the phase t...
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Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2007-12, Vol.54 (12), p.1097-1101 |
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description | In linear finite-impulse-response filter design, it is desirable that the filter frequency response has linear phase (LP). In this brief, we investigate the LP concept for nonlinear Volterra filters. The LP condition of Volterra filters is defined in terms of its output spectrum in which the phase term introduced by the Volterra kernels is linear. It is shown that under certain symmetry conditions, the LP condition is satisfied by Volterra filters. Moreover, the LP condition for Volterra filters can be considered as an extension to the linear filter case. |
doi_str_mv | 10.1109/TCSII.2007.906926 |
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Moreover, the LP condition for Volterra filters can be considered as an extension to the linear filter case.</description><subject>Circuits</subject><subject>Design engineering</subject><subject>Echo cancellers</subject><subject>Finite impulse response filter</subject><subject>Frequency response</subject><subject>Image processing</subject><subject>Kernel</subject><subject>Kernels</subject><subject>Linear filters</subject><subject>Linear phase</subject><subject>Linear phase (LP)</subject><subject>Nonlinear filters</subject><subject>Nonlinearity</subject><subject>Phase distortion</subject><subject>Polynomials</subject><subject>Solids</subject><subject>Speech processing</subject><subject>Symmetry</subject><subject>Volterra filter</subject><issn>1549-7747</issn><issn>1558-3791</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kD1PwzAURS0EEqXwAxBLxABTir8djyiiUKkSSBRWy0mfhas0LnY68O9JGsTAwPTucO6T7kHokuAZIVjfrcrXxWJGMVYzjaWm8ghNiBBFzpQmx0PmOleKq1N0ltIGY6oxoxOU32dL34KN2cuHTZCVoV37zoc2cyFm76HpIEabzf0Q0jk6cbZJcPFzp-ht_rAqn_Ll8-OivF_mNcOqywsrCHFsDUQL4IpKUTlsce1koVitWWVFRUFiKnBdUWfXRNiC1wBOggKQbIpux7-7GD73kDqz9amGprEthH0yhZaUUdJPmKKbf0nGuWbyAF7_ATdhH9t-hdGEUsY1VT1ERqiOIaUIzuyi39r4ZQg2g2dz8GwGz2b03Heuxo4HgF-eM1FILtk331J3gg</recordid><startdate>20071201</startdate><enddate>20071201</enddate><creator>Binwei Weng</creator><creator>Barner, K.E.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Circuits Design engineering Echo cancellers Finite impulse response filter Frequency response Image processing Kernel Kernels Linear filters Linear phase Linear phase (LP) Nonlinear filters Nonlinearity Phase distortion Polynomials Solids Speech processing Symmetry Volterra filter |
title | A Linear Phase Condition for Volterra Filters |
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