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An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first provide an algorithm to determine whether there exists an…

Information Theory · Computer Science 2023-01-19 Jerome Gauthier , Laurent Duval , Jean-Christophe Pesquet

This letter considers the design of linear-phase finite-length impulse response (FIR) filters for equalization of the frequency responses of digital-to-analog converters (DACs). The letter derives estimates for the filter orders required,…

Signal Processing · Electrical Eng. & Systems 2025-09-19 Deijany Rodriguez Linares , Håkan Johansson , Yinan Wang

This paper investigates the H2 and H-infinity suboptimal distributed filtering problems for continuous time linear systems. Consider a linear system monitored by a number of filters, where each of the filters receives only part of the…

Optimization and Control · Mathematics 2020-02-10 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

Various physics observables can be determined from the localisation of distinct edge-like features in distributions of measurement values. In this paper, we address the observation that neither differentiating nor fitting the measured…

High Energy Physics - Experiment · Physics 2021-07-14 Mikael Berggren , Stefano Caiazza , Madalina Chera , Jenny List

In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with…

Information Theory · Computer Science 2013-08-14 Masaaki Nagahara , Masaki Ogura , Yutaka Yamamoto

A systematic and comprehensive framework for finite impulse response (FIR) lowpass/fullband derivative kernels is introduced in this paper. Closed form solutions of a number of derivative filters are obtained using the maximally flat…

Numerical Analysis · Mathematics 2017-09-26 Mahdi S. Hosseini , Konstantinos N. Plataniotis

In modern digital filter chip design, efficient resource utilization is a hot topic. Due to the linear phase characteristics of FIR filters, a pulsed fully parallel structure can be applied to address the problem. To further reduce hardware…

Hardware Architecture · Computer Science 2023-11-27 Mengwei Hu , Zhengxiong Li , Xianyang Jiang

Many signal processing applications require digital filters with variable frequency characteristics, especially the filters with variable bandwidth. Due to their linear phase and inherent stability, variable bandwidth finite impulse…

Signal Processing · Electrical Eng. & Systems 2018-04-10 Sumedh Dhabu , Abhishek Ambede , Smitha K. G. , Sumit Darak and , A. P. Vinod

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy

This note reveals an explicit relationship between two representative finite impulse response (FIR) filters, i.e. the newly derived and popularized Kalman-Like unbiased FIR filter (UFIR) and the receding horizon Kalman FIR filter (RHKF). It…

Systems and Control · Computer Science 2015-01-29 Lubin Chang

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

The bandwidth of the sampling systems, especially for time-interleaved analog-to-digital converters, needs to be extended along with the rapid increase of the sampling rate. A digitally assisted technique becomes a feasible approach to…

Information Theory · Computer Science 2016-11-18 Yinan Wang , Hakan Johansson , Hui Xu , Jietao Diao

We consider signature waveform design for synchronous code division multiplexing in the presence of interference and wireless multipath fading channels. The adaptive real/complex signature that maximizes the…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Lili Wei , Wen Chen

Disturbance rejection in high-precision control applications can be significantly improved upon via online convex optimization (OCO). This includes classical techniques such as recursive least squares (RLS) and more recent, regret-based…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Joyce Lai , Peter Seiler

Optimal input design is an important step of the identification process in order to reduce the model variance. In this work a D-optimal input design method for finite-impulse-response-type nonlinear systems is presented. The optimization of…

Systems and Control · Computer Science 2017-03-27 Alexander De Cock , Michel Gevers , Johan Schoukens

This paper introduces a closed-form least-squares (LS) design approach for fast-convolution (FC) based variable-bandwidth (VBW) finite-impulse-response (FIR) filters. The proposed LS design utilizes frequency sampling and the VBW filter…

Signal Processing · Electrical Eng. & Systems 2025-10-01 Oksana Moryakova , Håkan Johansson

A new optimization method for the design of nearly linear-phase IIR digital filters that satisfy prescribed specifications is proposed. The group-delay deviation is minimized under the constraint that the passband ripple and stopband…

Systems and Control · Computer Science 2016-11-18 R. C. Nongpiur , D. J. Shpak , A. Antoniou

Time-domain chromatic dispersion (CD) equalization using finite impulse response (FIR) filter is now a common approach for coherent optical fiber communication systems. The complex weights of FIR filter taps are calculated from a truncated…

Information Theory · Computer Science 2017-05-02 Ziyi Zeng , Aiying Yang , Peng Guo , Lihui Feng

We show that designing sparse $H_\infty$ controllers, in a discrete (LTI) setting, is easy when the controller is assumed to be an FIR filter. In this case, the problem reduces to a static output feedback problem with equality constraints.…

Optimization and Control · Mathematics 2015-06-02 Jose A. Lopez

Systems equipped with modern sensing modalities such as vision and lidar gain access to increasingly high-dimensional measurements with which to enact estimation and control schemes. In this article, we examine the continuum limit of…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Maxwell Varley , Timothy L. Molloy , Girish N. Nair