Distorted exponential signal analyser based on modified prony-like method

Abstract

The distorted exponential signal can be decomposed on exponential components with different amplitudes and time constants. Under the hypothesis to model this signal by multi exponential function, different algorithms were pointed out to extract the distortion parameters. In the paper is proposed an algorithm that takes into analysis real exponential signal affected by quantization noise, offset and other non-idealities that cannot be modelled by multi-exponential function. Based on the feature of this algorithm that overcomes the limits of that proposed in literature, the distorted exponential signal analyser is pointed out. It works without constrains on the distortion characteristics and without a priori knowledge. Numerical and experimental tests are performed to assess the correctness and the accuracy of the proposed analyser.