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

Abstract

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.

A novel analytical approach to orthogonal bases extraction from AM-FM signals

“…Proficiency of AM-FM models has been verified for speech signals [1], and im age processing [2]. In addition to signal modeling, parameter es timation is a major concern of AM-FM signal processing.…”

“…A multicomponent AM-FM signal is described as M x(t) = L ak(t)e j6 k (t) (1) k= l We determine the proper bases to expand x(t) as in K x(t) = L Ck/k (t) (2) k= l These bases {/kj k = 0,1,··· ,K} should possess the following properties: 1) Each basis should be a generalized exponential func tion which is an exponential function with time-varying amplitude and frequency. Since these bases are compatible to AM-FM pattern, resultant expansion would be efficient.…”

QML-RANSAC: PPS and FM signals estimation in heavy noise environments

“…However, in this research we want to investigate if it is possible to reduce the SNR threshold further. Note, that a combination of the STFT and phase unwrapping is used in the phase vocoder framework [38] but the QML is the first application for the high-order PPS estimation.…”

Phase Estimation of a Single Quasi-Periodic Signal

“…This parametric expression is widely used in the context of periodic signal reconstruction [14] and detection [15], enhancement of a specific frequency [16], estimation of frequency [17], estimation of amplitude [18], estimation of phase [19], [20], phase synchrony [21], and decomposition of multiple periodic signals [22]- [24].…”