Rational FFT implementation in MATLAB

Abstract. In this paper we present a MATLAB implementation of a method related to the fast calculation of Fourier coefficients with respect to a product system of rational complex functions. The elements of the product system used here are defined as compositions of two-factor Blaschke products. We provide new tools for the visualization of the function systems in question, elaborate the outlined algorithms in [8], describe the methods used for numerical calculation. The work presented here can be applied in signal processing and control theory, future applications include the analysis of ECG signals. The toolbox is available at:
http://numanal.inf.elte.hu/~locsi/fftratsys/