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Impulse Response and Generating Functions of sincN FIR Filters

Authors:
Jean Le Bihan

Keywords: digital filter ; impulse response ; coefficient computation ; z-Transform.

Abstract:
Abstract – SincN finite impulse response (FIR) filters are built as a cascade of N sinc filters, each of length M. They are used for digital signal processing applications, in various areas including telecommunications. Generating functions for the sincN FIR filters transfer functions are given. It is shown that z-Transform techniques can offer an efficient method to derive straightforward recurrence relations for fast computation of the impulse response. Moreover, a simple expression, valid for all the filter coefficients, is also obtained. It is new and general, compared to previously published formula.

Pages: 25 to 29

Copyright: Copyright (c) IARIA, 2011

Publication date: April 17, 2011

Published in: conference

ISSN: 2308-3964

ISBN: 978-1-61208-127-4

Location: Budapest, Hungary

Dates: from April 17, 2011 to April 22, 2011