Title : 
A performance analysis of polynomial FM signals
         
        
            Author : 
Barkat, B. ; Boashash, B. ; Zoubir, A.M.
         
        
            Author_Institution : 
Signal Process. Res. Centre, Queensland Univ. of Technol., Brisbane, Qld., Australia
         
        
        
        
        
        
            Abstract : 
The polynomial Wigner-Ville distribution was designed as an optimal tool for characterising the spectral contents of a signal whose phase is a polynomial of a certain order. In this contribution, the peak of the polynomial Wigner-Ville distribution is used to estimate the instantaneous frequency of a polynomial phase signal. A general expression for the asymptotic variance is derived for the estimator, and a statistical comparison with a parametric method for estimating the instantaneous frequency, using the high-order ambiguity function, is established
         
        
            Keywords : 
Wigner distribution; frequency estimation; frequency modulation; polynomials; spectral analysis; asymptotic variance; high-order ambiguity function; instantaneous frequency; performance analysis; polynomial FM signals; polynomial Wigner-Ville distribution; polynomial phase signal; spectral content; statistical comparison; Chirp modulation; Frequency estimation; Frequency modulation; Performance analysis; Phase estimation; Polynomials; Signal analysis; Signal design; Signal processing; Time frequency analysis;
         
        
        
        
            Conference_Titel : 
Information, Communications and Signal Processing, 1997. ICICS., Proceedings of 1997 International Conference on
         
        
            Print_ISBN : 
0-7803-3676-3
         
        
        
            DOI : 
10.1109/ICICS.1997.652239