Finite word-length effects in implementation of distributions for time-frequency signal analysis

• Published in: IEEE transactions on signal processing 1998-07, Vol.46 (7), p.2035-2040
• Main Authors: Ivanovic, V., Stankovic, L., Petranovic, D.
• Format: Article
• Language: English
• Subjects: Algorithm design and analysis; Applied sciences; Dynamic range; Exact sciences and technology; Fixed-point arithmetic; Floating-point arithmetic; Hardware; Information, signal and communications theory; Interference; Noise measurement; Signal analysis; Signal and communications theory; Signal representation. Spectral analysis; Signal to noise ratio; Signal, noise; Telecommunications and information theory; Time frequency analysis
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/78.700977

This correspondence presents an analysis of the finite register length influence on the accuracy of results obtained by the time-frequency distributions (TFDs). In order to measure quality of the obtained results, the variance of the proposed model is found, signal-to-quantization noise ratio (SNR) is defined, and appropriate expressions are derived. Floating- and fixed-point arithmetic are considered, with the analysis of discrete random and discrete deterministic signals. It is shown that commonly used reduced interference distributions (RIDs) exhibit similar performance with respect to the SNR. We have also derived the expressions establishing the relationship between the number of bits and the required quality of representation (which is defined by the SNR), which may be used for register-length design in hardware implementation of time-frequency algorithms.