JSTOR Daily

Separation of Variables and the Computation of Fourier Transforms on Finite Groups, I

This paper introduces new techniques for the efficient computation of a Fourier transform on a finite group. We present a divide and conquer approach to the computation. The divide aspect uses ...
TechRepublic

Implementation of Low Power and High Speed Multiplier-Accumulator Using SPST Adder and Verilog

In this paper, the authors proposed a new architecture of Multiplier and ACcumulator (MAC) for high-speed arithmetic and low power. Multiplication occurs frequently in finite impulse response filters, ...
JSTOR Daily

Computational Complexity of Fourier Transforms Over Finite Fields

In this paper we describe a method for computing the Discrete Fourier Transform (DFT) of a sequence of $n$ elements over a finite field $\mathrm{GF}(p^m)$ with a ...
Nature

Linear Canonical Transform and Signal Processing

The linear canonical transform (LCT) is a versatile integral transform that generalises classical transforms such as the Fourier, fractional Fourier, and Fresnel transforms. By utilising four ...