Approximation of Discontinuous Signals by Exponential Sampling Series
Abstract
We analyse the behaviour of the exponential sampling series Swf at jump discontinuity of the bounded signal f. We obtain a representation lemma that is used for analysing the series Swf and we establish approximation of jump discontinuity functions by the series Swf. The rate of approximation of the exponential sampling series Swf is obtained in terms of logarithmic modulus of continuity of functions and the round-off and time-jitter errors are also studied. Finally we give some graphical representation of approximation of discontinuous functions by Swf using suitable kernels.
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