Journal ArticleDOI
Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals
Boualem Boashash
- Vol. 80, Iss: 4, pp 520-538
TLDR
The concept of instantaneous frequency (IF), its definitions, and the correspondence between the various mathematical models formulated for representation of IF are discussed in this paper, and the extent to which the IF corresponds to the intuitive expectation of reality is also considered.Abstract:
The concept of instantaneous frequency (IF), its definitions, and the correspondence between the various mathematical models formulated for representation of IF are discussed. The extent to which the IF corresponds to the intuitive expectation of reality is also considered. A historical review of the successive attempts to define the IF is presented. The relationships between the IF and the group-delay, analytic signal, and bandwidth-time (BT) product are explored, as well as the relationship with time-frequency distributions. The notions of monocomponent and multicomponent signals and instantaneous bandwidth are discussed. It is shown that these notions are well described in the context of the theory presented. >read more
Citations
More filters
Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
TL;DR: In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Journal ArticleDOI
Restructuring speech representations using a pitch-adaptive time-frequency smoothing and an instantaneous-frequency-based F0 extraction: possible role of a repetitive structure in sounds
TL;DR: A set of simple new procedures has been developed to enable the real-time manipulation of speech parameters by using pitch-adaptive spectral analysis combined with a surface reconstruction method in the time–frequency region.
Estimating and Interpreting The Instantaneous Frequency of a Signal
TL;DR: In this paper, the concept of instantaneous frequency (IF) is extended to discrete-time signals, and the specific problem of estimating the IF of frequency-modulated (FM) discrete time signals embedded in Gaussian noise is explored.
Patent
Signal processing apparatus and method
Mohamed K. Diab,Rex J. McCarthy +1 more
TL;DR: In this article, a method and an apparatus to analyze two measured signals that are modeled as containing desired and undesired portions such as noise, FM and AM modulation are presented, and coefficients relate the two signals according to a model defined in accordance with the present invention.
Journal ArticleDOI
Estimating and interpreting the instantaneous frequency of a signal. II. Algorithms and applications
TL;DR: The concept of instantaneous frequency (IF) is extended to discrete-time signals and methods based on a modeling of the signal phase as a polynomial have been introduced.
References
More filters
Journal ArticleDOI
Time-frequency distributions-a review
TL;DR: A review and tutorial of the fundamental ideas and methods of joint time-frequency distributions is presented with emphasis on the diversity of concepts and motivations that have gone into the formation of the field.
Journal ArticleDOI
Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more
TL;DR: In this paper, the authors apply the theory developed in the preceding paper to a number of questions about timelimited and bandlimited signals, and find the signals which do the best job of simultaneous time and frequency concentration.