Response of LTI Systems to Arbitrary Inputs: The Convolution Sum

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Response of LTI Systems to Arbitrary Inputs: The Convolution Sum

Author Affiliations

¹J.T. Mahajan of Engineering, Faizpur, Dist: Jalgaon, INDIA
²School of Mathematical Sciences, S.R.T.M. University, Nanded, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (3), Pages 4-8, March,12 (2015)

Abstract

The major theme of the paper is the characterization of discrete-time signals and systems in time domain. Here we characterized LTI systems by their unit sample response h(n) and derived the convolutions summation, which is the formula for determining the response y(n) of the system characterized by h(n) to any given input response x(n). We also deal some simple methods to determine the convolution.

References

Wm. Hugh Blanton, Convolution for Engineers,Technologist, Scientists and other Non-Ph. Ds-by EastTennessee state University, (2008)
Google Scholar
John G. Proakis and D.G. Manolakis, ‘Digital SignalProcessing’ by Pearson publication, 9th impression, (2011)
Maxin Raginsky, Convolution representation of discretetimesystems, ‘BME-171, (2008)
Andrew W.H. House, The Convolution Sum for DT-LTIsystem, (2004)

[ref1] Wm. Hugh Blanton, Convolution for Engineers,Technologist, Scientists and other Non-Ph. Ds-by EastTennessee state University, (2008)
Google Scholar

[ref2] John G. Proakis and D.G. Manolakis, ‘Digital SignalProcessing’ by Pearson publication, 9th impression, (2011)

[ref3] Maxin Raginsky, Convolution representation of discretetimesystems, ‘BME-171, (2008)

[ref4] Andrew W.H. House, The Convolution Sum for DT-LTIsystem, (2004)