A new method for nonparametric and adaptive instantaneous frequency (IF) estimation of monocomponent signals based on time-frequency distributions (TFDs) is presented. This method uses an estimate of the IF second-order derivative to approximate the width of the TFD observation window associated with the estimation least mean squared error (MSE), which was previously derived in a closed-form expression. The derivative estimate is obtained in two steps. First, a preliminary TFD is computed and its local maxima are used as a rough estimate of the IF trajectory. Thence, the continuous wavelet transform (CWT) is introduced for calculations of high-order derivatives. The proposed method is evaluated and compared with state-of-the-art algorithms based on the intersection of confidence intervals (ICI) rule. Numerical results demonstrate that the proposed method achieves a significant improvement in estimation accuracy.

Abdoush, Y., Garcia-Molina, J.A., Corazza, G.E. (2019). Adaptive instantaneous frequency estimation based on time-frequency distributions with derivative approximation. SIGNAL PROCESSING, 160, 99-105 [10.1016/j.sigpro.2019.01.027].

Adaptive instantaneous frequency estimation based on time-frequency distributions with derivative approximation

Abdoush, Yazan
;
Corazza, Giovanni E.
2019

Abstract

A new method for nonparametric and adaptive instantaneous frequency (IF) estimation of monocomponent signals based on time-frequency distributions (TFDs) is presented. This method uses an estimate of the IF second-order derivative to approximate the width of the TFD observation window associated with the estimation least mean squared error (MSE), which was previously derived in a closed-form expression. The derivative estimate is obtained in two steps. First, a preliminary TFD is computed and its local maxima are used as a rough estimate of the IF trajectory. Thence, the continuous wavelet transform (CWT) is introduced for calculations of high-order derivatives. The proposed method is evaluated and compared with state-of-the-art algorithms based on the intersection of confidence intervals (ICI) rule. Numerical results demonstrate that the proposed method achieves a significant improvement in estimation accuracy.
2019
Abdoush, Y., Garcia-Molina, J.A., Corazza, G.E. (2019). Adaptive instantaneous frequency estimation based on time-frequency distributions with derivative approximation. SIGNAL PROCESSING, 160, 99-105 [10.1016/j.sigpro.2019.01.027].
Abdoush, Yazan; Garcia-Molina, Jose A.; Corazza, Giovanni E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/678538
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