A comprehensive survey on fractional Fourier transform

Y Zhang, S Wang, JF Yang, Z Zhang… - Fundamenta …, 2017 - content.iospress.com
The Fractional Fourier transform (FRFT) is a relatively novel linear transforms that is a
generalization of conventional Fourier transform (FT). FRFT can transform a particular signal …

[HTML][HTML] Implementation of fractional order integrator/differentiator on field programmable gate array

KPS Rana, V Kumar, N Mittra, N Pramanik - Alexandria Engineering …, 2016 - Elsevier
Abstract Concept of fractional order calculus is as old as the regular calculus. With the
advent of high speed and cost effective computing power, now it is possible to model the …

Short-Time Fourier Transform Based on Metaprogramming and the Stockham Optimization Method

G Rybak, K Strzecha - Sensors, 2021 - mdpi.com
The extension for high-performance STFT (Short-Time Fourier Transform) algorithm written
entirely in Java language for non-parallel computations is presented in the current paper …

Flexible hardware architecture of SEFDM transmitters with real-time non-orthogonal adjustment

MR Perrett, I Darwazeh - 2011 18th International Conference on …, 2011 - ieeexplore.ieee.org
Field Programmable Gate Arrays (FPGA) offer a unique combination of software abstraction
and hardware performance, enabled by programming languages such as VHDL or Verilog …

Suppression of noise amplitude modulation interference in triangle frequency modulation detector based on FrFT

Y Zhu, S Zhang, H Zhao, S Chen - IEEE Sensors Journal, 2021 - ieeexplore.ieee.org
The target detection problem for a triangle wave frequency modulation (TWFM) detection
system in the presence of the noise amplitude modulation (NAM) interference is considered …

Closed-form analytical expression of fractional order differentiation in fractional Fourier transform domain

S Kumar, K Singh, R Saxena - Circuits, Systems, and Signal Processing, 2013 - Springer
In this paper, a closed-form analytical expression for fractional order differentiation in the
fractional Fourier transform (FrFT) domain is derived by utilizing the basic principles of …

Hardware Architectures for Computing Eigendecomposition-Based Discrete Fractional Fourier Transforms with Reduced Arithmetic Complexity

BC Bispo, JR de Oliveira Neto, JB Lima - Circuits, Systems, and Signal …, 2024 - Springer
Abstract The fractional Fourier transform (FrFT) is a useful mathematical tool for signal and
image processing. In some applications, the eigendecomposition-based discrete FrFT …

[PDF][PDF] 关于信号傅里叶变换存在条件问题的探讨

王道宪, 段晓辉, 杨光临 - 电子与信息学报, 2013 - edit.jeit.ac.cn
对于一个任意给定的信号, 判断其傅里叶变换是否存在一直是尚未解决的问题.
由于此问题在信号分析类课程的教学或工程应用中常给人们带来困扰, 该文对此进行了分析 …

FPGA-based implementation of discrete fractional Fourier transform algorithm

R Wang, P Chen, D Wang - 2022 14th International Conference …, 2022 - ieeexplore.ieee.org
Fractional Fourier transform (FrFT) has been taken a considerable attention in signal and
image processing domain. On the evolution of discrete form of FrFT, low computational …

Design and Implementation of Fractional Order Differintegrators Using Reduced s to z Transforms

K Rajasekhar, BT Krishna - Journal of Communications Technology and …, 2018 - Springer
The Design and implementation of fractional order digital differentiators and integrators is
the main objective of this paper. Identify the novel reduced s to z transforms calculated using …