Advanced topics in signal processing
Continuous and discrete wavelet transforms
SIAM Review
Adaptive windowed Fourier transform
Signal Processing
A nonparametric test for stationarity based on local Fourier analysis
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Benchmarking flexible adaptive time-frequency transforms for underdetermined audio source separation
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
The Most General Time-Varying Filter Bank and Time-Varying Lapped Transforms
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Flexible tree-structured signal expansions using time-varyingwavelet packets
IEEE Transactions on Signal Processing
Discrete multiwindow Gabor-type transforms
IEEE Transactions on Signal Processing
Frame-theoretic analysis of oversampled filter banks
IEEE Transactions on Signal Processing
Improved instantaneous frequency estimation using an adaptiveshort-time Fourier transform
IEEE Transactions on Signal Processing
An adaptive optimal-kernel time-frequency representation
IEEE Transactions on Signal Processing
Discrete Gabor structures and optimal representations
IEEE Transactions on Signal Processing
Adaptive Time Segmentation for Improved Speech Enhancement
IEEE Transactions on Audio, Speech, and Language Processing
Discrete multi-Gabor expansions
IEEE Transactions on Information Theory
An entropy based method for local time-adaptation of the spectrogram
CMMR'10 Proceedings of the 7th international conference on Exploring music contents
Theory, implementation and applications of nonstationary Gabor frames
Journal of Computational and Applied Mathematics
Hi-index | 35.68 |
In this paper, we introduce a broad family of adaptive, linear time-frequency representations termed superposition frames, and show that they admit desirable fast overlap-add reconstruction properties akin to standard short-time Fourier techniques. This approach stands in contrast to many adaptive time-frequency representations in the existing literature, which, while more flexible than standard fixed-resolution approaches, typically fail to provide for efficient reconstruction and often lack the regular structure necessary for precise frame-theoretic analysis. Our main technical contributions come through the development of properties which ensure that our superposition construction provides for a numerically stable, invertible signal representation. Our primary algorithmic contributions come via the introduction and discussion of two signal adaptation schemes based on greedy selection and dynamic programming, respectively. We conclude with two short enhancement examples that serve to highlight potential applications of our approach.