Sampling and Interpolation of Bandlimited Signals by Quadrature Methods

Methods of developing real and complex interpolatory representations of a bandlimited signal in which the quadrature components of the signal are explicitly exhibited are presented. Applied to the case of a bandpass signal, the real formulation is a new interpolatory result that has useful computational properties. Exact and approximate envelope and phase calculations are used to demonstrate some of these properties. In a similar application, the complex formulation gives the well-known result of Goldman and Woodward.