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Perfect reconstruction filter banks with rational sampling factors

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Sensing and Recovery under Sparsity Constraints

Ali Hormati

Popular transforms, like the discrete cosine transform or the wavelet transform, owe their success to the fact that they promote sparsity. These transforms are capable of extracting the structure of a large class of signals and representing them by a few t ...

EPFL2010

Designing Practical Filters For Sound Field Reconstruction

Martin Vetterli, Mihailo Kolundzija, Christof Faller

Multichannel sound field reproduction techniques, such as Wave Field Synthesis (WFS) and Sound Field Reconstruction (SFR), define loudspeaker filters in the frequency domain. However, in order to use these techniques in practical systems, one needs to conv ...

2009

Higher-Order Riesz Transforms And Steerable Wavelet Frames

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce an Nth-order extension of the Riesz transform in d dimensions. We prove that this generalized transform has the following remarkable properties: shift-invariance, scale-invariance, inner-product preservation, and steerability. The pleasing con ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Higher-Order Riesz Transforms and Steerable Wavelet Frames

Michaël Unser, Dimitri Nestor Alice Van De Ville

IEEE2009

Ultra Low Power Switched Current Finite Impulse Response Filter Banks Realized in CMOS 0.18 um technology

Rafal Tomasz Dlugosz

Ultra low power circuits are in high demand in many applications especially in wireless sensor networks (WSN), where energy is scavenged from environment. WSN systems contain different blocks, such as: sensors, filters, analog-to-digital converters, very o ...

2007

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Martin Vetterli, Minh Do

The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a "true" two-dimensional transform that can c ...

2005

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

Orthogonal Hilbert transform filter banks and wavelets

Martin Vetterli, Thierry Blu

Complex wavelet transforms offer the opportunity to perform directional and coherent processing based on the local magnitude and phase of signals and images. Although denoising, segmentation, and image enhancement are significantly improved using complex w ...

IEEE2003

Guest Editorial: Wavelets in Medical Imaging

Michaël Unser

I. Introduction Wavelets are the result of collective efforts that recognized common threads between ideas and concepts that had been independently developed and investigated by distinct research communities. They provide a unifying framework for decompos ...

2003

Directional multiresolution image representations

Minh Do

Efficient representation of visual information lies at the foundation of many image processing tasks, including compression, filtering, and feature extraction. Efficiency of a representation refers to the ability to capture significant information of an ob ...

EPFL2002