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We study the feasibility of short finite impulse response (FIR) synthesis for perfect reconstruction (PR) in generic FIR filter banks. Among all PR synthesis banks, we focus on the one with the minimum filter length. For filter banks with…

Information Theory · Computer Science 2015-05-27 Behzad Sharif , Yoram Bresler

This paper addresses the important problem of reconstructing a signal from multiple multirate observations. The observations are modeled as the output of an analysis bank, and time-domain analysis is carried out to design an optimal FIR…

Signal Processing · Electrical Eng. & Systems 2019-07-30 Sandeep Patel , Ravindra Dhuli , Brejesh Lall

In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly…

Information Theory · Computer Science 2015-10-28 Amina Chebira , Matthew Fickus , Dustin G. Mixon

A practical approach to optimal design of multichannel oversampled warped cosine-modulated filter banks (CMFB) is proposed. Warped CMFB is obtained by allpass transformation of uniform CMFB. The paper addresses the problems of minimization…

Information Theory · Computer Science 2020-03-26 Maxim Vashkevich , Wanggen Wan , Alexander Petrovsky

Many audio applications rely on filter banks (FBs) to analyze, process, and re-synthesize sounds. To approximate the auditory frequency resolution in the signal chain, some applications rely on perceptually motivated FBs, the gammatone FB…

Sound · Computer Science 2016-01-26 Thibaud Necciari , Nicki Holighaus , Peter Balazs , Zdenek Prusa

The increased temporal and spectral resolution of oversampled systems allows many sensor-signal analysis tasks to be performed (e.g. detection, classification and tracking) using a filterbank of low-pass digital differentiators. Such…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Hugh L. Kennedy

In this paper, we use a matrix adaptive filter as the synthesis stage of a Uniform Filter Bank (UFB) to reconstruct the input signal. We first develop the mathematical theory behind it by applying the model of optimal filtering at the…

Signal Processing · Electrical Eng. & Systems 2022-09-23 Sandeep Patel , Ravindra Dhuli , Brejesh Lall

Reversible logic circuits have been historically motivated by theoretical research in low-power electronics as well as practical improvement of bit-manipulation transforms in cryptography and computer graphics. Recently, reversible circuits…

Emerging Technologies · Computer Science 2013-03-21 Mehdi Saeedi , Igor L. Markov

Hyperspectral imaging is gathering significant attention due to its potential in various domains such as geology, agriculture, ecology, and surveillance. However, the associated processing algorithms, which are essential for enhancing…

Signal Processing · Electrical Eng. & Systems 2023-10-04 El Mehdi Abdali , Daniele Picone , Mauro Dalla-Mura , Stéphane Mancini

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

This paper proposes an optimized mapping of the FIR filter algorithm that enhances the rate of a reconfigurable computer over a basic mapping previously proposed [1]. It also presents a new interconnection scheme in the reconfigurable part…

Signal Processing · Electrical Eng. & Systems 2019-04-12 Hassan Diab , Issam Damaj , Fadi Kurdahi

We turn a given filter bank into a filtering scheme that provides perfect reconstruction, synthesis is the adjoint of the analysis part (so-called unitary filter banks), all filters have equal norm, and the essential features of the…

Functional Analysis · Mathematics 2017-09-04 Martin Ehler

System level synthesis is a promising approach that formulates structured optimal controller synthesis problems as convex problems. This work solves the distributed linear-quadratic regulator problem under communication constraints directly…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Olle Kjellqvist , Jing Yu

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2012-08-21 Oleg Golubitsky , Dmitri Maslov

We study the problem of determining whether a given temporal specification can be implemented by a symmetric system, i.e., a system composed from identical components. Symmetry is an important goal in the design of distributed systems,…

Logic in Computer Science · Computer Science 2017-10-17 Ruediger Ehlers , Bernd Finkbeiner

We propose a multi input multi output(MIMO) system identification framework by interpreting the MIMO system in terms of a multirate synthesis filter bank. The proposed methodology is discussed in two steps: in the first step the MIMO system…

Information Theory · Computer Science 2015-05-27 Binish Fatimah , Shiv Dutt Joshi

This paper introduces a reconstruction approach for the input signal of an oversampled filter bank (OFB) when the sub-bands generated at its output are quantized and transmitted over a noisy channel. This approach exploits the redundancy…

Networking and Internet Architecture · Computer Science 2011-08-30 Manel Abid , Michel Kieffer , Beatrice Pesquet-Popescu

Many active noise and vibration control systems require models of the control paths. When the controlled system changes slightly over time, adaptive digital filters for the identification of the models are useful. This paper aims at the…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Dirk Mayer

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2010-03-10 Oleg Golubitsky , Sean M. Falconer , Dmitri Maslov

In this paper, we propose the construction of critically sampled perfect reconstruction two-channel filterbanks on arbitrary undirected graphs.Inspired by the design of graphQMF proposed in the literature, we propose a general ``spectral…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Junxia You , Lihua Yang
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