Publications related to Filter bank

Generalized Biorthogonal Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9⁄7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by ...

SPIE2005

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

Generalized Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the Daubechies wavelet family. The context is that of a non-stationary multiresolution analysis—i.e., a sequence of embedded approximation spaces generated by scaling functions that are not necessarily dilates of one another. ...

IEEE2005

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Michaël Unser, Dimitri Nestor Alice Van De Ville

We present a new family of two-dimensional and three-dimensional orthogonal wavelets which uses quincunx sampling. The orthogonal refinement filters have a simple analytical expression in the Fourier domain as a function of the order λ, which may be nonint ...

IEEE2005

A fast-array Kalman filter solution to active noise control

Ali H. Sayed

A Kalman filter solution to active control and its fast-array implementation are provided. The adaptive control problem is formulated as a state-estimation problem and no interchanging of the adaptive filter and the secondary-path is imposed. Moreover, no ...

Wiley Online Library2005

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

This paper investigates intra-adaptive wavelets for video coding with frame-adaptive motion-compensated lifted wavelet transforms. With motion-compensated lifted wavelets, the temporal wavelet decomposition operates along motion trajectories. However, vali ...

EUSIPCO2005

An active-RC reconfigurable lowpass-polyphase Tow-Thomas biquad filter

Omer Can Akgun

A novel active-RC biquad is presented which can be reconfigured as a polyphase filter for a low IF wireless receiver architecture, and as a lowpass filter for a zero IF wireless receiver architecture. A second order lowpass-polyphase reconfigurable filter ...

2004

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

Microscopy imaging often suffers from limited depth-of-focus. However, the specimen can be “optically sectioned” by moving the object along the optical axis; different areas appear in focus in different images. Extended depth-of-focus is a fusion algorithm ...

IEEE2004

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

Microscopy imaging often suffers from limited depth-of-field. However, the specimen can be “optically sectioned” by moving the object along the optical axis. Then different areas appear in focus in different images. Extended depth-of-field is a fusion algo ...

Wiley-Liss2004

Video Coding with Lifted Wavelet Transforms and Complementary Motion-Compensated Signals

Pierre Vandergheynst

This paper investigates video coding with wavelet transforms applied in the temporal direction of a video sequence. The wavelets are implemented with the lifting scheme in order to permit motion compensation between successive pictures. We improve motion c ...

SPIE2004

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Generalized Biorthogonal Daubechies Wavelets

Generalized L-Spline Wavelet Bases

Generalized Daubechies Wavelets

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

A fast-array Kalman filter solution to active noise control

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

An active-RC reconfigurable lowpass-polyphase Tow-Thomas biquad filter

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Video Coding with Lifted Wavelet Transforms and Complementary Motion-Compensated Signals

Generalized Biorthogonal Daubechies Wavelets

Generalized L-Spline Wavelet Bases

Generalized Daubechies Wavelets

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

A fast-array Kalman filter solution to active noise control

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

An active-RC reconfigurable lowpass-polyphase Tow-Thomas biquad filter

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Video Coding with Lifted Wavelet Transforms and Complementary Motion-Compensated Signals