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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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|
|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|
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