Multicomponent Polynomial Phase Signal Analysis Using a Tracking Algorithm

We describe an efficient technique analyzing signals that comprise a number of polynomial phase components. The technique is based on a recently proposed "multiple frequency tracker", an algorithm for recursive estimation of parameters of multiple sine waves in noise. It has a relatively low SNR threshold and moderate computational complexity. 1 Introduction Polynomial phase signals are encountered for example in pulse compression radar systems, [1], in synthetic aperture radar imaging and mobile communications, [2], or in modeling certain animal sounds, [1]. For these applications, signals with a quadratic and cubic polynomial phase, i.e. linear and quadratic frequency modulated (FM) signals, are the most important. For estimating parameters of signals of this kind, the discrete polynomial-phase transform (DPT), [3], later called high-order ambiguity function, [4], was proposed. The algorithm was extended to deal with multiple component signals in [2, 5, 6]. When estimating parameter..