On the impulse response of a discrete-time linear IIR system

Authors: Mallik R.K.¹; Rangarao K.V.²

Source: Digital Signal Processing, Volume 13, Number 1, January 2003 , pp. 128-143(16)

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Abstract:

An explicit formula for the impulse response of a discrete-time causal linear time-varying infinite-impulse-response system in terms of the system parameters is obtained from the solution of a linear difference equation with variable coefficients. The case of a linear time-invariant system is also discussed. The results are used to approximate an IIR system by a finite-impulse-response system, and a relative truncation error criterion is presented to measure the accuracy of such an approximation.

Language: English

Document Type: Research article

DOI: http://dx.doi.org/10.1016/S1051-2004(02)00010-6

Affiliations: 1: Department of Electrical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110016, India 2: Satyam Computer Services Ltd., Mayfair Centre, S.P. Road, Secunderabad 500003, India

Publication date: 2003-01-01