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- Publications
- Influence

Introduction to Wavelets and Wavelet Transforms: A Primer

- C. Burrus, R. Gopinath, Haitao Guo, J. E. Odegard, I. Selesnick
- Mathematics
- 24 August 1997

1. Introduction to Wavelets. 2. A Multiresolution Formulation of Wavelet Systems. 3. Filter Banks and the Discrete Wavelet Transform. 4. Bases, Orthogonal Bases, Biorthogonal Bases, Frames, Tight… Expand

- 2,377
- 208
- PDF

Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency

- L. Sendur, I. Selesnick
- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1 November 2002

Most simple nonlinear thresholding rules for wavelet-based denoising assume that the wavelet coefficients are independent. However, wavelet coefficients of natural images have significant… Expand

Wavelet Transform With Tunable Q-Factor

- I. Selesnick
- Computer Science, Mathematics
- IEEE Transactions on Signal Processing
- 1 August 2011

This paper describes a discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the signal to which it is… Expand

The design of approximate Hilbert transform pairs of wavelet bases

- I. Selesnick
- Mathematics, Computer Science
- IEEE Trans. Signal Process.
- 1 May 2002

Several authors have demonstrated that significant improvements can be obtained in wavelet-based signal processing by utilizing a pair of wavelet transforms where the wavelets form a Hilbert… Expand

The slantlet transform

- I. Selesnick
- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1 May 1999

The discrete wavelet transform (DWT) is usually carried out by filterbank iteration; however, for a fixed number of zero moments, this does not yield a discrete-time basis that is optimal with… Expand

The double-density dual-tree DWT

- I. Selesnick
- Mathematics, Computer Science
- IEEE Transactions on Signal Processing
- 1 May 2004

This paper introduces the double-density dual-tree discrete wavelet transform (DWT), which is a DWT that combines the double-density DWT and the dual-tree DWT, each of which has its own… Expand

The Double Density DWT

- I. Selesnick
- Mathematics
- 2001

This chapter tak es up the design of discret e wavelet transforms ba sed on oversampled filter b anks. In t his case t he wavelet s form an overcom plete basis, or frame. In par ticul ar , we… Expand

A bivariate shrinkage function for wavelet-based denoising

- L. Sendur, I. Selesnick
- Computer Science, Mathematics
- IEEE International Conference on Acoustics…
- 13 May 2002

Most simple nonlinear thresholding rules for wavelet-based denoising assume the wavelet coefficients are independent. However, wavelet coefficients of natural images have significant dependency. In… Expand

Resonance-based signal decomposition: A new sparsity-enabled signal analysis method

- I. Selesnick
- Computer Science, Mathematics
- Signal Process.
- 1 December 2011

Abstract Numerous signals arising from physiological and physical processes, in addition to being non-stationary, are moreover a mixture of sustained oscillations and non-oscillatory transients that… Expand

Sparse Regularization via Convex Analysis

- I. Selesnick
- Mathematics, Computer Science
- IEEE Transactions on Signal Processing
- 1 September 2017

Sparse approximate solutions to linear equations are classically obtained via L1 norm regularized least squares, but this method often underestimates the true solution. As an alternative to the L1… Expand