Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming
The discrete Fourier transform (DFT) is widely employed for multi-beam digital beamforming. The DFT can be efficiently implemented through the use of fast Fourier transform (FFT) algorithms, thus reducing chip area, power consumption, processing time ...
Arjuna Madanayake +8 more
doaj +1 more source
An Orthogonal Discrete Auditory Transform
An orthogonal discrete auditory transform (ODAT) from sound signal to spectrum is constructed by combining the auditory spreading matrix of Schroeder et al and the time one map of a discrete nonlocal Schr\"odinger equation.
Qi, Yingyong, Xin, Jack
core +1 more source
A DHT-Based Multicarrier Modulation System with Pairwise ML Detection [PDF]
This paper presents a complex-valued discrete multicarrier modulation (MCM) system based on the real-valued discrete Hartley transform (DHT) and its inverse (IDHT).
He, Chang +5 more
core +1 more source
For discrete-time iterative learning control systems, the discrete Fourier transform (DFT) is a powerful technique for frequency analysis, and Toeplitz matrices are a typical tool for the system input–output transmission.
Xiaohui Li, Xiaoe Ruan
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Channel Estimation and Optimal Pilot Signals for Universal Filtered Multi-Carrier (UFMC) Systems [PDF]
We propose channel estimation algorithms and pilot signal optimization for the universal filtered multi-carrier (UFMC) system based on the comb-type pilot pattern.
He, Chang +4 more
core +1 more source
On companding techniques for PAPR reduction in DCT SC-FDMA system in the presence of CFOs
In the single carrier frequency division multiple access (SC-FDMA) system, the use of discrete cosine transform (DCT) instead of discrete Fourier transform (DFT) has shown improved bit error rate (BER) performance.
Naim Ben Ali +5 more
doaj +1 more source
A novel Hilbert-twin (H-twin) method is introduced as an alternative method for the computation of the resonant frequency for exponentially damped free decays embedded in noise.
Majewski M., Magalas L.B.
doaj +1 more source
Fourier-spectral-method implementation of deformation in the phase-field crystal model [PDF]
The phase-field crystal (PFC) method is a promising computational model with atomistic resolution and diffusive time scale. In this work, the Fourier-spectral-method (FSM) scheme was developed for evaluating the PFC free energy of a system subjected ...
Pisutha-Arnond Nirand
doaj +1 more source
Comparisons of the execution times and memory requirements for high-speed discrete fourier transforms and fast fourier transforms, for the measurement of AC power harmonics [PDF]
Conventional wisdom dictates that a Fast Fourier Transform (FFT) will be a more computationally effective method for measuring multiple harmonics than a Discrete Fourier Transform (DFT) approach.
Burt, G. M., Roscoe, A. J.
core
FPS-SFT: A Multi-dimensional Sparse Fourier Transform Based on the Fourier Projection-slice Theorem
We propose a multi-dimensional (M-D) sparse Fourier transform inspired by the idea of the Fourier projection-slice theorem, called FPS-SFT. FPS-SFT extracts samples along lines (1-dimensional slices from an M-D data cube), which are parameterized by ...
Patel, Vishal M. +2 more
core +1 more source

