  The Kantorovich exponential sampling series at jump discontinuities of the
bounded measurable signal f has been analysed. A representation lemma for the
series is established and using this lemma certain approximation theorems for
discontinuous signals are proved. The degree of approximation in terms of
logarithmic modulus of smoothness for the series is studied. Further a linear
prediction of signals based on past sample values has been obtained. Some
numerical simulations are performed to validate the approximation of
discontinuous signals f by the sampling series.
