IF estimation of higher-order polynomial FM signals corrupted by multiplicative and additive noise
نویسنده
چکیده
In this paper, we propose the peak of the polynomial Wigner-Ville distribution as an instantaneous frequency estimator for polynomial frequency modulated signals in the presence of multiplicative and additive complex Gaussian processes. We show that this estimator is unbiased and we derive an analytic expression of its asymptotic variance. Simulation results, based on Monte-Carlo realisations, are presented in order to show the validity of the theoretical derivations.
منابع مشابه
Overview of Signal Instantaneous Frequency Estimation Methods
This paper gives an overview of existing instantaneous frequency (IF) estimation methods divided into several major categories. One of the first IF estimation approaches was based on the spectrogram, the resolution of which is highly window size dependant. In order to improve the IF estimation accuracy, the iterative method was proposed, such that each iteration gives more accurate estimation o...
متن کاملAnalysis of polynomial FM signals corrupted by heavy-tailed noise
In this paper, we consider the analysis of polynomial FM signals corrupted by additive heavy-tailed noise. Standard timefrequency techniques fail to analyze such signals. For that, we propose here a new technique, named the robust polynomial WignerVille distribution (r-PWVD) to handle this case. We show that this representation outperforms the robust Wigner-Ville distribution (rWVD) and the rob...
متن کاملInstantaneous frequency estimation of polynomial FM signals using the peak of the PWVD: statistical performance in the presence of additive gaussian noise
The peak of the polynomial Wigner–Ville distribution (PWVD) has been recently proposed as an estimator of the instantaneous frequency (IF) for a monocomponent polynomial frequency modulated (FM) signal. In this paper, we evaluate the statistical performance of this estimator in the case of additive white Gaussian noise and provide an analytical expression for the variance. We show that for a gi...
متن کاملSignal parameter estimation using fourth order statistics: multiplicative and additive noise environment
Parameter estimation of various multi-component stationary and non-stationary signals in multiplicative and additive noise is considered in this paper. It is demonstrated that the parameters of complex sinusoidal signal, complex frequency modulated (FM) sinusoidal signal and complex linear chirp signal in presence of additive and multiplicative noise can be estimated using a new definition of t...
متن کاملPolynomial Time-Frequency Distributions and Time-Varying Higher Order Spectra: Application to Non-St - Systems, Man and Cybernetics, 1996., IEEE International Conference on
The paper deals with analysis and time-frequency representation of multicomponent signals characterised by non-linear frequency variation in time. A certain type of higher-order time-frequency distribution, referred to as Polynomial Wigner-Ville distribution [2], has been designed to achieve delta function concentration in the timefrequency plane for this class of signals. In the presence of mu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001