Adaptive window zero-crossing-based instantaneous frequency estimation

Sekhar, Chandra S and Sreenivas, TV (2004) Adaptive window zero-crossing-based instantaneous frequency estimation. In: 6th Workshop on Nonlinear Signal and Image Processing, JUN, 2003, Grado, ITALY.

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Abstract

We address the problem of estimating instantaneous frequency (IF) of a real-valued constant amplitude time-varying sinusoid. Estimation of polynomial IF is formulated using the zero-crossings of the signal. We propose an algorithm to estimate nonpolynomial IF by local approximation using a low-order polynomial, over a short segment of the signal. This involves the choice of window length to minimize the mean square error (MSE). The optimal window length found by directly minimizing the MSE is a function of the higher-order derivatives of the IF which are not available a priori. However, an optimum solution is formulated using an adaptive window technique based on the concept of intersection of confidence intervals. The adaptive algorithm enables minimum MSE-IF (MMSE-IF) estimation without requiring a priori information about the IF. Simulation results show that the adaptive window zero-crossing-based IF estimation method is superior to fixed window methods and is also better than adaptive spectrogram and adaptive Wigner-Ville distribution (WVD)-based IF estimators for different signal-to-noise ratio (SNR).

Item Type:	Conference Paper
Publisher:	Hindawi Publishing Corporation
Additional Information:	Copyright of this article belongs to Hindawi Publishing Corporation.
Keywords:	zero-crossing;irregular sampling;instantaneous frequency; bias-variance tradeoff;confidence interval;adaptation
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	08 Mar 2012 05:57
Last Modified:	08 Mar 2012 05:57
URI:	http://eprints.iisc.ac.in/id/eprint/43779

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