1995•IEEE Transactions on Signal ProcessingRequires access

Formulas for the impulse response of a digital filter with an arbitrary piecewise-linear frequency response

Manlap Chan, J.A. Heinen, Russell J. Niederjohn

Abstract

Simple formulas are derived for the impulse response of a digital filter with an arbitrary piecewise-linear frequency response. These are generalizations of a formula given in Oppenheim and Schafer (1989), and are useful in designing linear-phase FIR filters by the "windowing" method.>

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Key concepts: Linear filter, Finite impulse response, Impulse response, Impulse invariance, Digital filter, Piecewise linear function, Linear phase, Frequency response