Interpolation using elliptic sine function: a digital signal processing approach

Interpolation is necessary in digital signal processing applications to increase the sampling rate of a digital signal. Realization of interpolation in practice becomes fundamentally a linear filtering process. Classical interpolation methods like Lagrange can be used with some limitations for filtering an interpolated signal. This paper introduces a new method of interpolation using the Jacobian elliptic sine function that can be applied to digital signal processing applications. The paper provides a mathematical model to design an interpolator based on the Jacobian elliptic sine function and compares its merits and demerits to a FIR filter and filters derived from Lagrange interpolation method.