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Linear and quadratic time-frequency signal representations
TLDR
A tutorial review of both linear and quadratic representations is given for time-varying signal processing. Expand
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Wavelet transform-based QRS complex detector
TLDR
In this paper, the authors describe a QRS complex detector based on the dyadic wavelet transform (D/sub y/WT) which is robust to time-varying Q RS complex morphology and to noise. Expand
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Broadband interference excision in spread spectrum communication systems via fractional Fourier transform
TLDR
We demonstrate the use of the fractional Fourier transform (FRFT) in excising broadband, linear FM (chirp) type interferences in spread spectrum communication systems. Expand
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The power classes of quadratic time-frequency representations: a generalization of the affine and hyperbolic classes
The affine and hyperbolic classes of quadratic time-frequency representations (QTFRs) are frameworks for multiresolution or constant-Q time-frequency analysis. This paper generalizes the affine andExpand
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Unitary and Hermitian fractional operators and their relation to the fractional Fourier transform
TLDR
Inspired by the recent popularity of the fractional Fourier transform (FRFT) and motivated by the use of Hermitian and unitary operator methods in signal analysis, we introduce a new unitary fractional operator associated with the FRFT. Expand
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Improved filter sharpening
TLDR
We propose a natural extension to Kaiser-Hamming (1977) filter sharpening methods to allow for a piecewise linear desired amplitude change function (ACF). Expand
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Improved optimization of time-frequency-based signal classifiers
TLDR
We propose to jointly optimize the TFR and distance measure for nonstationary signal classification by minimizing the (estimated) probability of classification error. Expand
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The use of hyperbolic time-frequency representations for optimum detection and parameter estimation of hyperbolic chirps
We propose a time-frequency formulation for the optimum detection of Gaussian signals in white Gaussian noise based on hyperbolic class quadratic time frequency representations (QTFRs) such as theExpand
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The exponential class and generalized time-shift covariant quadratic time-frequency representations
We propose the new exponential class of quadratic time-frequency representations (QTFRs) covariant to constant shifts in frequency and dispersive, exponential shifts in time. We obtain theExpand
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Segmentation of nonstationary signals
TLDR
A very useful and not too restrictive class of models of nonstationary signals is based upon the assumptions that the signals are composed of independent and stationary segments. Expand
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