AM/FM Rate Estimation for Time-Varying Sinusoidal Modeling

Abe, Mototsugu; Smith, Julius O.

doi:10.1109/icassp.2005.1415681

Cited by 23 publications

(21 citation statements)

References 2 publications

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“…It can be shown [24] that log-amplitude and phase are both quadratic functions of the Fourier frequency. Furthermore, a quadratic interpolation of both amplitude and phase will allow us to compute all the parameters of the model.…”

Section: B Qifft Algorithmmentioning

confidence: 99%

“…and are computed using parabolic interpolations on the three closest bins to the maximum of the amplitude spectrum (cf. [24] for more details). The following estimators can be derived:…”

Section: B Qifft Algorithmmentioning

confidence: 99%

“…In the QIFFT method [14], [24], the first-order AM/FM model parameters are derived from the analytical formula of the Fourier Transform of a Gaussian window. It can be shown [24] that log-amplitude and phase are both quadratic functions of the Fourier frequency.…”

Section: B Qifft Algorithmmentioning

confidence: 99%

“…For FM models (M02,M12), good efficiency can be achieved by means of the reassignment method [2]. A recent approach [the quadratically interpolated fast Fourier transform method (QIFFT)] based on an adaptation of an earlier spectrum interpolation method proposes to consider the more general AM/FM signal model in the case of Gaussian analysis windows [14], [24]. All these estimators use an initial computation of a time-frequency transform on a discrete grid for one or two (in the case of the reassignment) different analysis windows and further combine the grid values to derive the parameter estimates.…”

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confidence: 99%

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Estimation of Frequency for AM/FM Models Using the Phase Vocoder Framework

Betser

Collen

Richard

et al. 2008

IEEE Trans. Signal Process.

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Abstract-This paper proposes an extension of the applicability of phase-vocoder-based frequency estimators for generalized sinusoidal models, which include phase and amplitude modulations. A first approach, called phase corrected vocoder (PCV), takes into account the modification of the Fourier phases resulting from these modulations. Another approach is based on an adaptation of the principles of the time-frequency reassignment and is referred to as the reassigned vocoder (RV). The robustness of the estimation against noise is studied, both theoretically and experimentally, and the performance is assessed in comparison with two state-of-the-art algorithms: an unmodified version of the reassignment method and a quadratically interpolated fast Fourier transform method (QIFFT).Index Terms-AM/FM model, frequency estimation, phase vocoder.

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Section: B Qifft Algorithmmentioning

confidence: 99%

“…and are computed using parabolic interpolations on the three closest bins to the maximum of the amplitude spectrum (cf. [24] for more details). The following estimators can be derived:…”

Section: B Qifft Algorithmmentioning

confidence: 99%

Section: B Qifft Algorithmmentioning

confidence: 99%

mentioning

confidence: 99%

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Estimation of Frequency for AM/FM Models Using the Phase Vocoder Framework

Betser

Collen

Richard

et al. 2008

IEEE Trans. Signal Process.

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“…The range-speed peak positions in true range-speed responses are estimated with quadratic peak interpolation [1]. A peak is aR v (r, v, t) position were all eight neighbours lay below the peak value.…”

Section: Quadratic Peak Interpolationmentioning

confidence: 99%