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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

The utilization of finite field multipliers is pervasive in contemporary digital systems, with hardware implementation for bit parallel operation often necessitating millions of logic gates. However, various digital design issues, whether…

Information Theory · Computer Science 2023-07-27 Saeideh Nabipour , Javad Javidan

Block Floating Point (BFP) arithmetic is currently seeing a resurgence in interest because it requires less power, less chip area, and is less complicated to implement in hardware than standard floating point arithmetic. This paper explores…

Numerical Analysis · Mathematics 2023-07-04 Nils Kohl , Stephen F. McCormick , Rasmus Tamstorf

This paper discusses a simple and effective method for the summation of long sequences of floating point numbers. The method comprises two phases: an accumulation phase where the mantissas of the floating point numbers are added to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Vincenzo Liguori

We present algorithms for real and complex dot product and matrix multiplication in arbitrary-precision floating-point and ball arithmetic. A low-overhead dot product is implemented on the level of GMP limb arrays; it is about twice as fast…

Mathematical Software · Computer Science 2024-12-20 Fredrik Johansson

Future wireless systems, known as gigantic multiple-input multiple-output (MIMO), are expected to enhance performance by significantly increasing the number of antennas, e.g., a few thousands. To enable gigantic MIMO overcoming the…

Information Theory · Computer Science 2025-06-09 Matteo Nerini , Bruno Clerckx

General Matrix Multiply (GEMM) units, consisting of multiply-accumulate (MAC) arrays, perform bulk of the computation in deep learning (DL). Recent work has proposed a novel MAC design, Bit-Pragmatic (PRA), capable of dynamically exploiting…

Hardware Architecture · Computer Science 2025-01-03 Harideep Nair , Prabhu Vellaisamy , Tsung-Han Lin , Perry Wang , Shawn Blanton , John Paul Shen

This paper presents a novel algorithm for the modulus operation for FPGA implementation. The proposed algorithm use only addition, subtraction, logical, and bit shift operations, avoiding the complexities and hardware costs associated with…

Cryptography and Security · Computer Science 2025-01-10 W. A. Susantha Wijesinghe

In this paper a low power multiplier is proposed. The proposed multiplier utilizes Broken-Array Multiplier approximation method on the conventional modified Booth multiplier. This method reduces the total power consumption of multiplier up…

Hardware Architecture · Computer Science 2020-03-17 Farzad Farshchi , Muhammad Saeed Abrishami , Sied Mehdi Fakhraie

Analog-domain operations offer a promising solution to accelerating signal processing and enabling future multiple-input multiple-output (MIMO) communications with thousands of antennas. In Part I of this paper, we have introduced a…

Information Theory · Computer Science 2025-12-04 Matteo Nerini , Bruno Clerckx

Neural-network (NN) inference is increasingly present on-board spacecraft to reduce downlink bandwidth and enable timely decision making. However, the power and reliability constraints of space missions limit the applicability of many…

Hardware Architecture · Computer Science 2026-03-17 Pedro Antunes , Artur Podobas

Multiple independent radio frequency (RF) beams find applications in communications, radio astronomy, radar, and microwave imaging. An $N$-point FFT applied spatially across an array of receiver antennas provides $N$-independent RF beams at…

Methodology · Statistics 2015-01-09 D. Suarez , R. J. Cintra , F. M. Bayer , A. Sengupta , S. Kulasekera , A. Madanayake

Based on the application of the Sum-Product algorithm (SPA) over factor graphs, this paper presents a graphical representation of generalized frequency division multiplexing (GFDM) and filter bank multicarrier with offset QAM (FBMC-OQAM).…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Ivo Bizon Franco de Almeida , Guilherme Pedro Aquino , Luciano Leonel Mendes

In this work, we optimally solve the problem of multiplierless design of second-order Infinite Impulse Response filters with minimum number of adders. Given a frequency specification, we design a stable direct form filter with…

Hardware Architecture · Computer Science 2022-05-11 Rémi Garcia , Anastasia Volkova , Martin Kumm , Alexandre Goldsztejn , Jonas Kühle

BiDAQ is a custom filtering and data acquisition system designed for next-gen bolometric experiments dedicated to the search of neutrinoless double beta decay. The system is composed of 12-channel analog-to-digital boards interfaced with…

Instrumentation and Detectors · Physics 2022-11-23 Paolo Carniti , Claudio Gotti , Gianluigi Pessina

Fast combinational multipliers with large bit widths can occupy significant silicon area, which also drives up power consumption. Area can be reduced through resource sharing (i.e., folding) at the expense of lower throughput, which is…

Hardware Architecture · Computer Science 2025-09-03 Ahmad Houraniah , H. Fatih Ugurdag , C. Emre Dedeagac

Large DNNs with mixed-precision quantization can achieve ultra-high compression while retaining high classification performance. However, because of the challenges in finding an accurate metric that can guide the optimization process, these…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Souvik Kundu , Shikai Wang , Qirui Sun , Peter A. Beerel , Massoud Pedram

The finite field multiplier is mainly used in many of today's state of the art digital systems and its hardware implementation for bit parallel operation may require millions of logic gates. Natural causes or soft errors in digital design…

Information Theory · Computer Science 2023-03-15 Saeideh Nabipour , Javad Javidan , Gholamreza Zare Fatin

Elliptic curve cryptography (ECC) has emerged as the dominant public-key protocol, with NIST standardizing parameters for binary field GF(2^m) ECC systems. This work presents a hardware implementation of a Hybrid Multiplication technique…

Cryptography and Security · Computer Science 2025-06-25 Ruby Kumari , Gaurav Purohit , Abhijit Karmakar

A multiply-accumulate (MAC) operation is the main computation unit for DSP applications. DSP blocks are one of the efficient solutions to implement MACs in FPGA's. However, since the DSP blocks have wide multiplier and adder blocks, MAC…

Hardware Architecture · Computer Science 2021-10-26 Ercan Kalali , Rene van Leuken