  We analyse the behaviour of the exponential sampling series $S_{w}^{\chi}f$
at jump discontinuity of the bounded signal $f.$ We obtain a representation
lemma that is used for analysing the series $S_{w}^{\chi}f$ and we establish
approximation of jump discontinuity functions by the series $S_{w}^{\chi}f.$
The rate of approximation of the exponential sampling series $S_{w}^{\chi}f$ 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
$S_{w}^{\chi}f$ using suitable kernels.
