Interpolation of band-limited discrete-time signals by minimizing out-of-band energy

An interpolation method for restoring burst errors in discrete-time, band-limited signals is presented. The restoration is such that the restored signal has minimal out-of-band energy. The filter coefficients depend only on the burst length and on the size of the band to which the signal is assumed to be band-limited. The influence of additive noise and the effect of violation of the band-limitedness assumption is analysed with the aid of discrete prolate spheroidal sequences and wave functions. It is indicated for what combinations of values for noise power, burst length and bandwidth the method is still stable enough to be practicable.