ABSTRACT

The sampling theorem provides a bridge between analog signals and discrete-time signals. Based on this theorem, a minimum sampling rate can be decided by which analog signals can be uniformly sampled so that original analog signal can be reconstructed or recovered from these samples. The complex exponential functions are very useful in signal processing. The representation of the signal in terms of these basis functions provides frequency-domain for signal analysis. Fourier transform can be applied to continuous-time periodic and aperiodic signals in order to obtain their frequency contents or spectrum. The Bessel functions are aperiodic in nature and decay with time. Such properties make Bessel functions suitable for representation of non-stationary signals.