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This work presents two novel optimization methods based on integer linear programming (ILP) that minimize the number of adders used to implement a direct/transposed finite impulse response (FIR) filter adhering to a given frequency…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Martin Kumm , Anastasia Volkova , Silviu-Ioan Filip

The design of digital filters is a fundamental process in the context of digital signal processing. The purpose of this paper is to study the use of $\lp$ norms (for $2 < p < \infty$) as design criteria for digital filters, and to introduce…

Information Theory · Computer Science 2012-07-20 Ricardo A. Vargas , C. Sidney Burrus

Multiple Constant Multiplication (MCM) over integers is a frequent operation arising in embedded systems that require highly optimized hardware. An efficient way is to replace costly generic multiplication by bit-shifts and additions, i.e.…

Hardware Architecture · Computer Science 2022-10-11 Rémi Garcia , Anastasia Volkova

A simple procedure for the design of recursive digital filters with an infinite impulse response (IIR) and non-recursive digital filters with a finite impulse response (FIR) is described. The fixed-lag smoothing filters are designed to…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Hugh Lachlan Kennedy

Contemporary field-programmable gate arrays (FPGAs) are predestined for the application of finite impulse response (FIR) filters. Their embedded digital signal processing (DSP) blocks for multiply-accumulate operations enable efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-13 Philipp Födisch , Artsiom Bryksa , Bert Lange , Wolfgang Enghardt , Peter Kaever

There are two main methods to implement FIR filters: software and hardware. In the software method, an FIR filter can be implemented within the processor by programming; it uses too much memory and it is extremely time-consuming while it…

Signal Processing · Electrical Eng. & Systems 2019-04-11 Mohammad Hemmati , Vahid Rashtchi , Ahmad Maleki , Siroos Toofan

This paper revisits the design and optimization of parallel fast finite impulse response (FIR) filters using polyphase decomposition and iterated fast FIR algorithms (FFAs). Parallel FIR filtering enhances computational efficiency and…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Keshab K. Parhi

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

FIR filters are used in many performance/power critical applications such as mobile communication devices, analogue to digital converters and digital signal processing applications. Design of appropriate FIR filters usually causes the order…

Hardware Architecture · Computer Science 2014-03-19 Fazel Sharifi , Saba Amanollahi , Mohammad Amin Taherkhani , Omid Hashemipour

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

In this paper, a two-step codeword design approach for millimeter wave (mmWave) massive MIMO systems is presented. Ideal codewords are first designed, which ignores the hardware constraints in terms of phase shifter resolution and the…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Kangjian Chen , Chenhao Qi , Geoffrey Ye Li

Shape- and scale-selective digital-filters, with steerable finite/infinite impulse responses (FIR/IIRs) and non-recursive/recursive realizations, that are separable in both spatial dimensions and adequately isotropic, are derived. The…

Signal Processing · Electrical Eng. & Systems 2020-08-19 Hugh L. Kennedy

Floating point multiplication is one of the crucial operations in many application domains such as image processing, signal processing etc. But every application requires different working features. Some need high precision, some need low…

Hardware Architecture · Computer Science 2020-12-08 S. Arish , R. K. Sharma

One of the main challenges with generalized frequency division multiplexing (GFDM) systems is prototype filter design. A poorly designed filter increases inherent and out-of-band (OOB) interferences. In this paper, we introduce a novel…

Signal Processing · Electrical Eng. & Systems 2023-08-21 Behzad Mozaffari Tazehkand , Mohammad Reza Ghavidel Aghdam , Reza Abdolee

We introduce a novel method for designing attenuation filters in digital audio reverberation systems based on Feedback Delay Networks (FDNs). Our approach uses Second Order Sections (SOS) of Infinite Impulse Response (IIR) filters arranged…

Sound · Computer Science 2025-11-26 Ilias Ibnyahya , Joshua D. Reiss

This paper provides modified Distributed Arithmetic based technique to compute sum of products saving appreciable number of Multiply And accumulation blocks and this consecutively reduces circuit size. In this technique multiplexer based…

Hardware Architecture · Computer Science 2017-04-28 Naveen S Naik , Kiran A Gupta

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

Many algorithms feature an iterative loop that converges to the result of interest. The numerical operations in such algorithms are generally implemented using finite-precision arithmetic, either fixed- or floating-point, most of which…

Hardware Architecture · Computer Science 2019-10-02 He Li , James J. Davis , John Wickerson , George A. Constantinides

Recently, the demand of low-power deep-learning hardware for industrial applications has been increasing. Most existing artificial intelligence (AI) chips have evolved to rely on new chip technologies rather than on radically new hardware…

Machine Learning · Computer Science 2020-02-14 Byungik Ahn

This study introduces a modified version of the Constant-in-Gain, Lead-in-Phase (CgLp) filter, which incorporates a feedthrough term in the First-Order Reset Element (FORE) to reduce the undesirable nonlinearities and achieve an almost…

Systems and Control · Electrical Eng. & Systems 2025-07-03 S. Ali Hosseini , Fabian R. Quinten , Luke F. van Eijk , Dragan Kostic , S. Hassan HosseinNia
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