Multiplierless discrete Fourier transform based on moments by LIU Zhen-bing, LIU Jian-guo, WANG Guo-you

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RETRACTED: The method for estimating respiratory noises using a discrete Fourier transform by Fatkieva Roza, Shichkina Yulia, Semenenok Vladislav

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Noise Cancellation Method for Mud Pulse Telemetry Based on Discrete Fourier Transform by Jingchen Zhang, Zitong Sha, Xingbin Tu, Zhujun Zhang, Jiang Zhu, Yan Wei, Fengzhong Qu

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Algorithm and Architecture Optimization for 2D Discrete Fourier Transforms with Simultaneous Edge Artifact Removal by Faisal Mahmood, Märt Toots, Lars-Göran Öfverstedt, Ulf Skoglund

“…Two-dimensional discrete Fourier transform (DFT) is an extensively used and computationally intensive algorithm, with a plethora of applications. 2D images are, in general, nonperiodic but are assumed to be periodic while calculating their DFTs. …”
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Constructions of perfect Gaussian integer sequences of odd prime length by Yubo LI, Miao CHEN, Tao LIU, Ying ZHANG

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Hiss noise reduction method used for audio signals based on AAC bit-stream by Feng DENG, Chang-chun BAO, Feng BAO

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k-error linear complexity of binary cyclotomic generators by Zhixiong CHEN, Chenhuang WU

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Digital Current Measurement Element for Operation During Current Transformer Severe Saturation by Yu. V. Rumiantsev, F. A. Romaniuk, V. Yu. Rumiantsev, I. V. Novash

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Orthogonal Components Forming of the Microprocessor-Based Protection Input Signals by F. A. Romaniuk, V. Yu. Rumiantsev, Yu. V. Rumiantsev, V. S. Kachenya

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DIGITAL FILTERS IMPLEMENTATION IN MICROPROCESSOR-BASED RELAY PROTECTION by Yu. V. Rumiantsev, F. A. Romaniuk, V. Yu. Rumiantsev, I. V. Novash

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Digitalization of Spectral Measurements in the Fourier Basis – Development Trends and Problems by O. V. Ponomareva, A. V. Ponomarev, N. V. Smirnova

“…An analysis of digital methods for measuring spectra showed that methods based on Discrete Fourier Transform (DFT) retain their leading role and are effective in almost all subject areas. …”
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Low-complexity sparse channel estimation for massive MIMO systems by Xin FANG, Yunju LIU, Haiyan CAO, Peng PAN

“…Due to the high computational complexity of massive MIMO system,a low-complexity sparse channel estimation algorithm was proposed utilizing the inherent sparsity of the wireless communication channel to improve the estimation performance.The proposed algorithm separated channel tap from noise space based on the traditional discrete Fourier transform by adopting integral separation algorithm.This channel estimation algorithm need only calculate the channel tap,thus markedly reducing complexity of the algorithm.Numerical simulations show that proposed algorithm can approach to the performance of the minimum mean-square error estimator while maintaining lower complexity.…”
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Blind interference suppression for MC-CDMA system with transmit diversity by HU Bing, LI Ping-an, YU Bian-zhang

“…It was considered that the fading coefficients corresponding to subcarriers were discrete Fourier transform of multipath coefficients. By investigating the code space in frequency domain and the data vector space of the multipath signals, the noise-subspace-based approach was used to perform blind channel estimation. …”
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Malicious DNS traffic detection based neural networks by SHAN Kangkang, YUAN Shuhong, CHEN Wenzhi, WANG Zhibo

“…Firstly, DNS traffic was converted from time-domain space to frequency-domain space through discrete Fourier transform, which could significantly compress the data scale while retaining key log information. …”
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A Simulation Accelerating Method Based on CUDA with Kepler GPU by Bingjun Han, Shiming Huang, Ying Du

“…An accelerating method based on CUDA（compute unified device architecture）with Kepler GPU（graphics processing unit）was proposed to speed up the DFT（discrete Fourier transform）processing in the communication simulation platform.Based on this method，the whole DFT processing was split into subtasks named molecular-subtasks corresponding to communication links and a molecular-subtask was further split into smaller parallel subtasks named atomic-subtasks which correspond to the DFT processing in a link.Then，the atomic-subtasks were processed in parallel by the threads in a GPU kernel function，as well as the molecular-subtasks were processed in parallel via several GPU kernel functions to shorter the simulation time.Simulation results show this method can speed up the DFT processing more than 300 times compared with single thread CPU program and 3 times compared with traditional GPU program.…”
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SINR performance analysis of DFT spread generalized multi-carrier system by RUI Yun1, LI Ming-qi1, ZHOU Qin-ying1, ZHANG Xiao-dong1, YI Hui-yue1, HU Hong-lin1

“…A signal-to-interference-plus-noise ratio（SINR） performance analysis method of discrete fourier transform spread generalized multi-carrier（DFT-S-GMC） system was proposed.The closed-form SINR expression based on simpli-fied frequency-domain equivalent implementation structure and MMSE equalization for receiver is derived by channel frequency response and noise variance,considering inter-block（IFBT symbol） residual interference multiplexed in time domain.Moreover,it can be easily extended to multi-receive antenna.By simulation results,it is shown that with pro-posed equivalent SINR,the BLock error rate（BLER） performance of DFT-S-GMC over slow fading channel is well matched with that over AWGN channel.…”
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Low complexity codebook search method in massive MIMO system by Jianfei LIU, Liping HE, Ying TAO, Di LIU, Xiangye ZENG, Mengjun WANG

“…In Massive MIMO systems for 5G networks,precoding technology is one of the key technologies.Aiming at user side codebook search method of the discrete Fourier transform (DFT) rotation codebook,a low complexity search algorithm was proposed.In this algorithm,all horizontal and vertical codebooks were grouped separately according to the characteristics that the precoding vectors with the same column of DFT rotation codebooks had the smallest chordal distance and the smaller chordal distance have the stronger correlation,and then the optimal horizontal and vertical codewords with maximum channel gain were obtained to form 3D precoding code-books.The simulation results indicate that the searching complexity of the proposed method is significantly reduced under conditions of insuring the system performance,moreover,this advantage becomes greater with the number of antennas increasing.…”
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Research on Palmprint Identification Method Based on Quantum Algorithms by Hui Li, Zhanzhan Zhang

“…The proposed algorithm exhibits an exponential speed-up compared with discrete Fourier transform in the feature extraction. Finally, quantum set operations and Grover algorithm are used in palmprint matching. …”
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Gait Correlation Analysis Based Human Identification by Jinyan Chen

“…The correlation result between the original silhouette and the new one can be used as the raw feature of human gait. Discrete Fourier transform is used to extract features from this correlation result. …”
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Non-uniform Fourier transform based image classification in single-particle Cryo-EM by ZiJian Bai, Jian Huang

“…Leveraging the capabilities of the non-uniform discrete Fourier transform (NUDFT), we have developed an algorithm for the rotation-invariant classification. …”
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