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This paper presents a class of multi-channel cosine-modulated filter banks satisfying the perfect reconstruction (PR) property using an IIR prototype filter. By imposing a suitable structure on the polyphase filter coefficients, we show…

Information Theory · Computer Science 2007-07-13 Sundaram Vanka , M. J. Dehghani , K. M. M. Prabhu , R. Aravind

We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new method for wavelet phase reconstruction from magnitude-only…

Numerical Analysis · Mathematics 2024-09-23 Nicki Holighaus , Günther Koliander , Zdenĕk Průša , Luis Daniel Abreu

In this paper, we have introduced the notion of UselessGate and ReverseOperation. We have also given an algorithm to implement a sorting network for reversible logic synthesis based on swapping bit strings. The network is constructed in…

Hardware Architecture · Computer Science 2010-08-30 Md. Saiful Islam

In this paper, we present a new method for designing wavelet filter banks for any dilation matrices and in any dimension. Our approach utilizes extended Laplacian pyramid matrices to achieve this flexibility. By generalizing recent tight…

Information Theory · Computer Science 2025-02-21 Youngmi Hur , Sungjoo Kim

Block matrix structure is commonly arising is various physics and engineering applications. There are various advantages in preserving the blocks structure while computing the inversion of such partitioned matrices. In this context, using…

Numerical Analysis · Mathematics 2023-11-22 R. Thiru Senthil

In this paper, an optimized efficient VLSI architecture of a pipeline Fast Fourier transform (FFT) processor capable of producing the reverse output order sequence is presented. Paper presents Radix-2 multipath delay architecture for FFT…

Hardware Architecture · Computer Science 2017-07-07 Tanaji U. Kamble , B. G. Patil , Rakhee S. Bhojakar

This review paper is intended to give a useful guide for those who want to apply discrete wavelets in their practice. The notion of wavelets and their use in practical computing and various applications are briefly described, but rigorous…

High Energy Physics - Phenomenology · Physics 2025-10-20 I. M. Dremin , O. V. Ivanov , V. A. Nechitailo

This paper reviews two different uses of the continuous wavelet transform for modal identification purposes. The properties of the wavelet transform, mainly energetic, allow to emphasize or filter the main information within measured…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Pierre Argoul , Silvano Erlicher

We consider a distributed antenna system where $L$ antenna terminals (ATs) are connected to a Central Processor (CP) via digital error-free links of finite capacity $R_0$, and serve $L$ user terminals (UTs). This system model has been…

Information Theory · Computer Science 2012-02-08 Song-Nam Hong , Giuseppe Caire

A polarization-independent reconfigurable frequency selective rasorber (FSR)/absorber with low insertion loss based on diodes is proposed in this paper. The presented structure consists of a lossy layer based on square loops and a bandpass…

Applied Physics · Physics 2020-08-11 Jing Yuan , Xiangkun Kong , Xuemeng Wang , Shunliu Jiang , Lingqi Kong

Orthogonal wavelet transforms are a cornerstone of modern signal and image denoising because they combine multiscale representation, energy preservation, and perfect reconstruction. In this paper, we show that these advantages can be…

Computation · Statistics 2026-03-04 Radhika Kulkarni , Brani Vidakovic

A design methodology and synthesis equations are described for lumped-element filter prototypes having low-pass, high-pass, band-pass, or band-stop characteristics with theoretically perfect input- and output-match at all frequencies. Such…

Instrumentation and Methods for Astrophysics · Physics 2010-08-23 Matthew A. Morgan , Tod A. Boyd

The ability to perform mathematical computations using metastructures is an emergent paradigm that carries the potential of wave-based analog computing to the realm of near-speed-of-light, low-loss, compact devices. We theoretically…

Applied Physics · Physics 2025-02-25 Dimitrios C. Tzarouchis , Brian Edwards , Nader Engheta

We propose a unified Transformer-based architecture for wireless signal processing tasks, offering a low-latency, task-adaptive alternative to conventional receiver pipelines. Unlike traditional modular designs, our model integrates channel…

Signal Processing · Electrical Eng. & Systems 2025-09-11 Yuto Kawai , Rajeev Koodli

Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles

The extraordinary properties of resonant four-wave mixing of backward waves in doped negative-index materials are investigated. The feasibility of independent engineering of negative refractive index and nonlinear optical response as well…

As a main research area in applied and computational harmonic analysis, the theory and applications of framelets have been extensively investigated. Most existing literature is devoted to framelet systems that only use one dilation matrix…

Functional Analysis · Mathematics 2025-04-10 Ran Lu

In this paper, we present a structure for two-channel spline graph filter bank with spectral sampling (SGFBSS) on arbitrary undirected graphs. Our proposed structure has many desirable properties; namely, perfect reconstruction, critical…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Amir Miraki , Hamid Saeedi-Sourck , Nicola Marchetti , Arman Farhang

In this paper, we propose a novel joint coding-modulation technique based on serial concatenation of orthogonal linear transform, such as discrete Fourier transform (DFT) or Walsh-Hadamard transform (WHT), with memoryless nonlinearity. We…

Information Theory · Computer Science 2018-01-22 Sergey V. Zhidkov

We here use notions from the theory linear shift-invariant dynamical systems to provide an easy-to-compute characterization of all rational wavelet filters. For a given N bigger or equql to 2, the number of inputs, the construction is based…

Complex Variables · Mathematics 2013-02-07 Daniel Alpay , Palle Jorgensen , Izchak Lewkowicz