Instantaneous frequency and wave shape functions (I)
نویسندگان
چکیده
منابع مشابه
Instantaneous Frequency Analysis
This paper investigated the use of instantaneous frequency (IF) instead of power amplitude and power spectrum in side-channel analysis. By opposition to the constant frequency used in Fourier Transform, instantaneous frequency reflects local phase differences and allows detecting frequency variations. These variations reflect the processed binary data and are hence cryptanalytically useful. IF ...
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Instantaneous frequency (IF) is necessary for understanding the detailed mechanisms for nonlinear and nonstationary processes. Historically, IF was computed from analytic signal (AS) through the Hilbert transform. This paper offers an overview of the difficulties involved in using AS, and two new methods to overcome the difficulties for computing IF. The first approach is to compute the quadrat...
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Three algorithms to estimate instantaneous frequency of a frequency-modulated signal is discussed. These algorithms are 7 based on Hilbert transform, Haar wavelet, and generalized pencil of function (GPOF) methods. While GPOF-based frequency detection method appears to be least sensitive to noise, wavelet-based method is easiest to implement. The latter method is 9 also computationally more e c...
متن کاملWave-shape function analysis - when cepstrum meets time-frequency analysis
We propose to combine cepstrum and nonlinear time-frequency (TF) analysis to study mutiple component oscillatory signals with time-varying frequency and amplitude and with time-varying non-sinusoidal oscillatory pattern. The concept of cepstrum is applied to eliminate the wave-shape function influence on the TF analysis, and we propose a new algorithm, named de-shape synchrosqueezing transform ...
متن کاملThe relationship between instantaneous frequency and time-frequency representations
We give the relationship between instantaneous frequency estimation via the derivative of the phase of the analytic signal and the first moment of general time-frequency representations from Cohen’s Manuscript received March, 2, 1990; revised January 25, 1992. This work was supported by the Australian Research Council. B. C. Lovell and B. Boashash are with the Department of Electrical Engineeri...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2013
ISSN: 1063-5203
DOI: 10.1016/j.acha.2012.08.008