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Journal articles on the topic 'Fast Fourier Transform system'

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Published: 4 June 2021
Last updated: 8 February 2022

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1

Shirakawa, Masatomo, and Junji Ohtsubo. "Optical Digital Fast Fourier Transform System." Optical Review 6, no. 5 (1999): 424–32. http://dx.doi.org/10.1007/s10043-999-0424-6.

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2

Adduri, Phani R., and Ravi C. Penmetsa. "Fast Fourier transform based system reliability analysis." International Journal of Reliability and Safety 1, no. 3 (2007): 239. http://dx.doi.org/10.1504/ijrs.2007.014964.

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3

Sridharan, S., E. Dawson, and B. Goldburg. "Fast Fourier transform based speech encryption system." IEE Proceedings I Communications, Speech and Vision 138, no. 3 (1991): 215. http://dx.doi.org/10.1049/ip-i-2.1991.0029.

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4

Peng, Yan Qing, Feng Wang, Ji Zhang, Jia Li, and Da Min Zhang. "Research of a New Power Quality Detection System Based on ARM." Applied Mechanics and Materials 568-570 (June 2014): 1825–33. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.1825.

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Based on the comparative analysis of the fast Fourier transform (FFT), the short-time Fourier transform (STFT), the wavelet transform (WT) and other power quality detection algorithms, this paper puts forward to a new power quality detection algorithm which combines the Fourier transform with the wavelet transform. The transient as well as the steady state signals are separated on the basis that the wavelet transform is sensitive to the singular signals. The presented algorithm detects a variety of harmonic parameters of the gird after the separation of steady state signals is finished by fast
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5

Majorkowska-Mech, Dorota, and Aleksandr Cariow. "Discrete Pseudo-Fractional Fourier Transform and Its Fast Algorithm." Electronics 10, no. 17 (2021): 2145. http://dx.doi.org/10.3390/electronics10172145.

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In this article, we introduce a new discrete fractional transform for data sequences whose size is a composite number. The main kernels of the introduced transform are small-size discrete fractional Fourier transforms. Since the introduced transformation is not, in the generally known sense, a classical discrete fractional transform, we call it discrete pseudo-fractional Fourier transform. We also provide a generalization of this new transform, which depends on many fractional parameters. A fast algorithm for computing the introduced transform is developed and described.
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6

Burrus, C. S. "Fast fourier transform and convolution algorithms." Signal Processing 12, no. 1 (1987): 106–7. http://dx.doi.org/10.1016/0165-1684(87)90090-9.

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7

Pham, Giao N., Anh N. Bui, Binh A. Nguyen, Tung V. Nguyen, and Hai T. Nguyen. "Fast IQ Amplitude Approximation Method for ASIC Digital System." International Journal of Emerging Technology and Advanced Engineering 11, no. 8 (2021): 19–22. http://dx.doi.org/10.46338/ijetae0821_03.

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In some modules of digital systems, such as Fast Fourier Transform (FFT), Discrete Fourier transform (DFT), IQ (in-phase and quadrature components) modulation/ demodulation, the outputs use the complex data formed , and the calculation of its magnitude value √ are required. In software digital signal processing platform, the multiplication and square root operations are executed by using its math library; however, in Application specific integrated circuit (ASIC) digital system design, the implementation of those operators via Coordinate Rotation Digital Computer (CORDIC) algorithm requires th
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8

Dishan, Huang. "Phase error in fast Fourier transform analysis." Mechanical Systems and Signal Processing 9, no. 2 (1995): 113–18. http://dx.doi.org/10.1006/mssp.1995.0009.

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9

Lu Min, 陆敏, 王治乐 Wang Zhile, 高萍萍 Gao Pingping, 张树青 Zhang Shuqing, and 郭继锴 Guo Jikai. "A Sub-Aperture Scanning Fourier Transform System for Fast BRDF Measurements." Acta Optica Sinica 40, no. 13 (2020): 1329001. http://dx.doi.org/10.3788/aos202040.1329001.

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10

Miller, Melvin P., Elwin C. Penski, and Raymond E. Miller. "Fourier transform infrared reflectance spectrometry system for studying moderately fast reactions." Analytical Chemistry 58, no. 4 (1986): 841–43. http://dx.doi.org/10.1021/ac00295a043.

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11

Li, Yan, Jeffrey R. Diamond, Xu Wang, Haibo Lin, Yudong Yang, and Zhenxing Han. "Large-scale fast Fourier transform on a heterogeneous multi-core system." International Journal of High Performance Computing Applications 26, no. 2 (2012): 148–58. http://dx.doi.org/10.1177/1094342011435158.

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12

Mustapha, Abdul Hadi Bin, R. Hamdan, F. H. Mohd Noh, et al. "Fault location identification of double circuit transmission line using discrete wavelet transform." Indonesian Journal of Electrical Engineering and Computer Science 15, no. 3 (2019): 1356. http://dx.doi.org/10.11591/ijeecs.v15.i3.pp1356-1365.

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<span lang="EN-GB">The importance of supplying undisturbed electricity keep increasing due to modernization and lifestyle. Any disturbance in the power system may lead to discontinuation and degradation in the power quality. Therefore, detecting fault, fault type and fault location is a major issue in power transmission system in order to ensure reliable power delivery system. This paper will compare two prominent methods to estimate the fault location of double circuit transmission line. Those methods are Discrete Wavelet Transform algorithm and Fast Fourier Transform algorithm. Simulat
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13

Protsko, I. O., and D. V. Ostrovka. "ANALYSIS OF THE ERROR OF COMPUTATION FAST TRANSFORMS OF FOURIER CLASS BASED ON CYCLIC CONVOLUTIONS." Ukrainian Journal of Information Technology 2, no. 1 (2020): 52–56. http://dx.doi.org/10.23939/ujit2020.02.052.

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The features of the computational model of discrete transforms of Fourier class based on cyclic convolutions to determine the algorithmic calculation error are analyzed. Based on the approach of efficient computation of discrete transforms of Fourier class of arbitrary size N, using of a hashing array to transform a discrete basis matrix into a set of block-cyclic submatrices, the components of computational costs are considered. These components of computational costs depend on the type of transform, the size and the block-cycle structure of the transformation core. Examples of computational
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14

Yu, Yan Xin, Chun Yang Wang, Yu Chen, and Hong Yan Sun. "A Fast Algorithm of Linear Canonical Transformation for Radar Signal Processing System." Advanced Materials Research 1049-1050 (October 2014): 1245–48. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.1245.

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Linear canonical transformation is a new signal processing tools developing in recent years. As a unified multi-parameter linear integral transform, linear canonical transformation has its unique advantages when dealing with non-stationary signal. However, from the existing literatures, the basic theoretical system is not perfect, some of the theories associated with signal processing needs to be further established or strengthened, the research of linear canonical transformation has important theoretical significance and practical significance, but linear canonical transformation needs a lot
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15

Park, Young-Soo, Koo-Rack Park, Jin-Mook Kim, and Hwa-Young Jeong. "Fast Fourier transform benchmark on X86 Xeon system for multimedia data processing." Multimedia Tools and Applications 76, no. 4 (2015): 6015–30. http://dx.doi.org/10.1007/s11042-015-2843-7.

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16

S.Shenbaga Ezhil, S. "Real Time Application of Fourier Transforms." Indonesian Journal of Electrical Engineering and Computer Science 8, no. 2 (2017): 574. http://dx.doi.org/10.11591/ijeecs.v8.i2.pp574-577.

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<p>In recent days increasing the use of Fourier transform in various applications. The Fourier transform is the simplest among the other transformation method. It is less time consuming, used in power distribution system, mechanical system, industry and wireless network. Mainly in power distribution system the mitigation of power quality disturbance require fast, accuracy and high noise immune method. In the Fourier Transform (FT) area, the advancements of oversampling, computerized sifting and clamor molding are generally received for smothering the quantization commotion. The powerful
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17

Muhlisin, Iip, and Rusman Rusyadi. "Vibration Analysis on Rotating Machines using Fast Fourier Transform (FFT)." ACMIT Proceedings 3, no. 1 (2019): 67–75. http://dx.doi.org/10.33555/acmit.v3i1.28.

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The history has record that heavy industries face major problems that causes by variant types of mechanical failures came from rotating machines. The Vibrations in rotating machine almost fond in everywhere, due to unbalances, misalignments and imperfect part, analytical approaches has shown that vibration monitoring has great capability in detecting and addressing the defect particular part in the machine line .The vibration velocities and vibration load will be measured at different speeds using The Time-frequency analysis at initial condition. The result of vibration readings spectrum analy
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18

Praveen Kumar Malik and M P Tripathi. "OFDM: A Mathematical Review." Journal on Today's Ideas - Tomorrow's Technologies 5, no. 2 (2017): 97–111. http://dx.doi.org/10.15415/jotitt.2017.52006.

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Mathematical review of the Orthogonal Frequency Division Multiplexing is demonstrated in terms of Inter symbol interference, Multi carrier modulated system and cyclic prefix. Modeling of the mathematical equation of the Orthogonal Frequency Division Multiplexing, Inverse fast Fourier transform and fast Fourier transform is explained with the suitable example using MATLAB. Bit error rate performance of OFDM is also presented with the help of statistical computation.
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19

Alemami, Yahia, Mohamad Afendee Mohamed, Saleh Atiewi, and Mustafa Mamat. "Speech encryption by multiple chaotic map with fast fourier transform." International Journal of Electrical and Computer Engineering (IJECE) 10, no. 6 (2020): 5658. http://dx.doi.org/10.11591/ijece.v10i6.pp5658-5664.

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There are various ways of social communication including writing (WhatsApp, Messenger, Facebook, Twitter, Skype, etc), calling (mobile phone) and voice recording (record your voice and then send it to the other party), but there are ways to eavesdropping the calls and voice messages, One way to solve this problem is via cryptographic approach. Chaos cryptography build on top of nonlinear dynamics chaotic system has gained some footstep in data security. It provides an alternative to conventional cryptography built on top of mathematical structures. This research focuses on the protection of sp
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20

Nikonov, Nikolay Sergeevich, Igor Ivanovich Borzenkov, and Igor Leonidovich Lebedinsky. "DEVELOPMENT OF A MEASUREMENT SYSTEM AND SOFTWARE PRODUCT TO COLLECT AND ANALYSE ELECTRICITY QUALITY PARAMETERS." Bulletin of the National Technical University "KhPI". Series: Energy: Reliability and Energy Efficiency, no. 1 (2) (July 2, 2021): 86–90. http://dx.doi.org/10.20998/2224-0349.2021.01.12.

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In the real operating conditions of electrical networks, there are modes of operation characterised by deviations of their parameters from their nominal values. Of particular importance for the operation of electrical equipment are variations in the amplitude and frequency of the supply voltage. The permissible and limit deviations of these parameters are regulated in accordance with national standards. To calculate the main power quality parameters it is not sufficient to know only the methods of their calculation. Additional algorithms are needed to determine fundamental harmonic voltages an
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21

Bécares, Eloy, and Antonio J. García-Olivares. "CHARACTERIZATION OF INDUSTRIAL WASTEWATER TREATMENT DYNAMICS USING FAST FOURIER TRANSFORM ANALYSIS." Water Science and Technology 30, no. 2 (1994): 229–32. http://dx.doi.org/10.2166/wst.1994.0047.

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Fast Fourier transform analysis has been applied to decompose the variance of some temporal series from an A + B industrial wastewater treatment system, as well as to discriminate which frequencies are basically contributing to parameter variability. The basic oscillations of the effluents, evaluated by means of the total COD, are shown to be mainly dependent on the internal dynamics of the reactors, whose design and control features are the generating forces for the final effluent fluctuations. Owing to the shorter retention time in the first reactor, the output signal was more complex than t
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22

Cheng, Chao, and Keshab K. Parhi. "Hardware Efficient Fast Computation of the Discrete Fourier Transform." Journal of VLSI signal processing systems for signal, image and video technology 42, no. 2 (2006): 159–71. http://dx.doi.org/10.1007/s11265-005-4187-4.

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23

Abdesselam, A. "A Multi-Resolution Texture Image Retrieval Using Fast Fourier Transform." Journal of Engineering Research [TJER] 7, no. 2 (2010): 48. http://dx.doi.org/10.24200/tjer.vol7iss2pp48-58.

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Texture is an important visual property that characterizes a wide range of natural and artificial images which makes it a useful feature for retrieving images. Several approaches have been proposed to describe the texture contents of an image. In early research works, such as edge histograms-based techniques and co-occurrence-based approaches, texture descriptors were mainly extracted from the spatial domain. Later on, dual spaces (transform of spatial domain) such as frequency space or spaces resulting from Gabor or wavelet transforms were explored for texture characterization. Recent physiol
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24

Ghanim, Mayada Faris. "The effect of wavelet transform on OFDM system in modern cellular networks." Indonesian Journal of Electrical Engineering and Computer Science 15, no. 1 (2019): 324. http://dx.doi.org/10.11591/ijeecs.v15.i1.pp324-327.

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Wavelet transform has many advantages that make it suitable and efficient approach to replace Fast Fourier Transform (FFT) in conventional Orthogonal Frequency Division Multiplexing (OFDM) systems. Wavelet transform is employed in modern cellular networks to remove the use of cyclic prefix, which leads to decreasing the bandwidth losses and the power of transmission. Wavelet based OFDM system is designed in order to overcome the drawbacks of OFDM system so that the proposed system is good candidate for next generation wireless communications.
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25

Protsko, I. O. "FAST TRANSFORMS OF FOURIER CLASS IN OFDM TECHNOLOGY OF WIRELESS TRANSMISSION SYSTEMS." Ukrainian Journal of Information Technology 1, no. 1 (2019): 52–57. http://dx.doi.org/10.23939/ujit2019.01.052.

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The ma­in mo­di­fi­ca­ti­ons and stan­dards of OFDM techno­logy that pro­vi­de high qua­lity com­mu­ni­ca­ti­on in mul­ti­path transmis­si­on of the transmit­ted sig­nal are highlighted. It is analyzed in the struc­tu­re of the transmit­ter of the com­mu­ni­ca­ti­on system ba­sed on OFDM techno­logy of exe­cu­ti­on of fast transforms of Fou­ri­er class. The ortho­go­nal freq­uency di­vi­si­on mul­tip­le­xing / de­mul­tip­le­xing functi­on is as­sig­ned to the fast com­pu­ter of transform, and the pre­co­der is used to re­du­ce the high pe­ak fac­tor in­he­rent in OFDM techno­logy. The ba­sic e
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26

Kuo, Chia-Chun, Ho-Chiao Chuang, Ai-Ho Liao, et al. "Fast Fourier transform combined with phase leading compensator for respiratory motion compensation system." Quantitative Imaging in Medicine and Surgery 10, no. 5 (2020): 907–20. http://dx.doi.org/10.21037/qims.2020.03.19.

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27

Gengyin, Li, Chen Zhiye, and Yang Yihan. "Application of Two Modified Fast Fourier Transform Algorithms in Power System Harmonic Analysis." IFAC Proceedings Volumes 30, no. 17 (1997): 317–21. http://dx.doi.org/10.1016/s1474-6670(17)46427-5.

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28

Burgess, John C. "Low peak factor waveforms for efficient system analysis using a fast Fourier transform." Journal of the Acoustical Society of America 86, S1 (1989): S92. http://dx.doi.org/10.1121/1.2027728.

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29

Kokaj, Agon, Ines Bula, and Artan Dermaku. "Fast Fourier Transform and a Complimentary Filter Based Control of a Robotic System:." IFAC-PapersOnLine 51, no. 30 (2018): 561–64. http://dx.doi.org/10.1016/j.ifacol.2018.11.250.

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30

KumarSingh, Vinay, Shilpi Gupta, and Upena D. Dalal. "Performance Comparison of Discrete Hartley Transform (DHT) and Fast Fourier Transform (FFT) OFDM System in AWGN Channel." International Journal of Computer Applications 70, no. 9 (2013): 1–4. http://dx.doi.org/10.5120/11987-7865.

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31

Kim, Bong Suk, Soo Hun Lee, Jun Ni, and Jun Yeob Song. "A Comparative Study on the Vibration Signal-Based Damage Detection for Rotor-Bearing System in Speed-Up Process:The Feature Extraction Approach." Key Engineering Materials 321-323 (October 2006): 1253–56. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.1253.

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The goal of system monitoring and diagnostics is to minimize economic losses, to increase stability, to maximize productivity, and to maintain product quality in manufacturing. The feature extraction from the signals acquired in rotating machine is required for performance evaluation, condition monitoring, and fault diagnostics. In this paper, we extracted the distinctive features from vibration signals gathered in rotor-bearing system during acceleration in order to monitor an abnormal condition by using various kinds of signal processing methods such as the Fast Fourier Transform, Short-Time
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32

Gladyszewski, Grzegorz, and Bozena Gladyszewska. "Fast Fourier transform analysis as a new tool for Olympic rifle coaches." Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology 231, no. 1 (2016): 63–67. http://dx.doi.org/10.1177/1754337116639482.

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The aim of this study was to examine the possibility of using data collected with an electronic training system to determine the influence of a shooter’s heartbeat on shooting precision. Shooting sessions of a rifle in prone position were studied with the use of an electronic training system. As a case study, results of an experienced shooter were analyzed. Fast Fourier transform was applied to raw data extracted from the system and then results were interpreted. The spectrum obtained revealed a wide peak at the frequency f = 2.6 Hz that was considered as the second harmonics of the average fr
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33

Leng, Jian Wei, and Qiong Qiong Xu. "Realization of 1024 Points Fast Fourier Transform Based on FPGA IPCore." Applied Mechanics and Materials 496-500 (January 2014): 1885–88. http://dx.doi.org/10.4028/www.scientific.net/amm.496-500.1885.

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Requirement on signal processing of radar level system is higher and higher at present. Standards such as generalization, systematic and modular cannot be satisfied through traditional methods which were using software program, application specific integrated circuit (ASIC) to achieve fast flourier transform (FFT). Therefore taking advantage of field programmable gate array (FPGA) to complete FFT had been the choosing trend of most researchers. Based on arithmetic FFT raised by Cooley-Tukey, a new design scheme of base-4 FFT was put forward in this paper. The design flow of FFT was fairly simp
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34

Noskov, Mikhail, Valeriy Tutatchikov, Mikhail Lapchik, Marina Ragulina, and Tatiana Yamskikh. "Application of parallel version two-dimensional fast Fourier transform algorithm, analog of the Cooley-Tukey algorithm, for digital image processing of satellite data." E3S Web of Conferences 75 (2019): 01012. http://dx.doi.org/10.1051/e3sconf/20197501012.

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In modern systems of remote sensing two-dimensional fast Fourier transform (FFT) has been widely used for digital processing of satellite images and subsequent image filtering. This article provides a parallel version two-dimensional fast Fourier transform algorithm, analog of the Cooley-Tukey algorithm and its implementation for processing the satellite image of Krasnoyarsk and its suburban areas.
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35

Masutani, Koji, Hisashi Sugisawa, Akira Yokota, Yukio Furukawa, and Mitsuo Tasumi. "Asynchronous Time-Resolved Fourier Transform Infrared Spectroscopy." Applied Spectroscopy 46, no. 4 (1992): 560–67. http://dx.doi.org/10.1366/0003702924124871.

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A novel asynchronous time-resolved FT-IR spectrophotometer based on a conventional continuous-scan interferometer has been developed. In contrast to the existing methods, this method does not require the synchronization between the signal for time resolving and that for the sampling of the A/D converter. The signal-processing assembly for time-resolved measurements consists of a pulse generator, a pulse delay circuit, a gate circuit, and a low-pass filter. This assembly can be attached to any conventional FT-IR spectrophotometer. By this method, time-resolved spectra without any spectral disto
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36

WANG, CHUN-CHING, YIH-CHUAN LIN, and CHI-YIN LIN. "ROM REDUCTION FOR OFDM SYSTEM USING TIME-STEALING STRATEGY." Journal of Circuits, Systems and Computers 15, no. 06 (2006): 907–21. http://dx.doi.org/10.1142/s0218126606003398.

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Modern communication systems frequently exploit the OFDM (Orthogonal Frequency Division Multiplex) technique to obtain a highly robust transmission of multimedia information, such as digital audio/video broadcast. OFDM and most of the other multimedia compression techniques usually require expensive computations, e.g., FFT (Fast Fourier Transform) and IMDCT (Inverse Modified Discrete Cosine Transform) processing. Traditionally, designing FFT and IMDCT separately involves a significant amount of redundancy in hardware. To reduce the required hardware, this investigation proposes a new ROM-shari
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37

GUPTA, S. K. S., C. H. HUANG, P. SADAYAPPAN, and R. W. JOHNSON. "IMPLEMENTING FAST FOURIER TRANSFORMS ON DISTRIBUTED-MEMORY MULTIPROCESSSORS USING DATA REDISTRIBUTIONS." Parallel Processing Letters 04, no. 04 (1994): 477–88. http://dx.doi.org/10.1142/s0129626494000442.

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Implementations of various fast Fourier transform (FFT) algorithms are presented for distributed-memory multiprocessors. These algorithms use data redistribution to localize the computation. The goal is to optimize communication cost by using a minimum number of redistribution steps. Both analytical and experimental performance results on the Intel iPSC/860 system are presented.
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38

Co, T. B., and B. E. Ydstie. "System identification using modulating functions and fast fourier transforms." Computers & Chemical Engineering 14, no. 10 (1990): 1051–66. http://dx.doi.org/10.1016/0098-1354(90)85002-r.

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Hussain, Waqar, Fabio Garzia, Tapani Ahonen, and Jari Nurmi. "Designing Fast Fourier Transform Accelerators for Orthogonal Frequency-Division Multiplexing Systems." Journal of Signal Processing Systems 69, no. 2 (2011): 161–71. http://dx.doi.org/10.1007/s11265-011-0642-6.

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40

Singh, C., and N. V. Gubbala. "Comparison of unit addition and fast Fourier transform methods for generation system reliability evaluation." International Journal of Electrical Power & Energy Systems 18, no. 4 (1996): 203–5. http://dx.doi.org/10.1016/0142-0615(95)00055-0.

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Chang, G. W., C. I. Chen, Y. J. Liu, and M. C. Wu. "Measuring power system harmonics and interharmonics by an improved fast Fourier transform-based algorithm." IET Generation, Transmission & Distribution 2, no. 2 (2008): 192. http://dx.doi.org/10.1049/iet-gtd:20070205.

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42

Muhlisin, Iip, Fachri Agung, and Riki Effendi. "Development of a vibration monitoring system for rotating machine models using fast fourier transform." Teknika: Jurnal Sains dan Teknologi 17, no. 1 (2021): 35. http://dx.doi.org/10.36055/tjst.v17i1.9763.

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43

ROBBIO, F. I., E. E. PAOLINI, J. L. MOIOLA, and G. CHEN. "HARMONIC DISTORTION ANALYSIS BASED ON HOPF BIFURCATION THEOREM AND FAST FOURIER TRANSFORM." International Journal of Bifurcation and Chaos 17, no. 05 (2007): 1623–35. http://dx.doi.org/10.1142/s0218127407017951.

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A frequency domain method is used to estimate the harmonic contents of a smooth oscillation arising from the Hopf bifurcation mechanism. The harmonic contents up to the eighth-order are well estimated, which agree with the results obtained from a completely different approach that measures the frequency content of a signal by using digital signal processing techniques such as the Fast Fourier Transform (FFT). The accuracy of the approximation is evaluated by computing the Floquet multipliers of the variational system based on the fact that for periodic solutions one multiplier must be +1. The
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Denisov, V. V. "Investigation of the stability of periodic motions in a nonlinear automatic control system based on the fast fourier transform." Proceedings of the Mavlyutov Institute of Mechanics 3 (2003): 297–307. http://dx.doi.org/10.21662/uim2003.1.024.

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45

Liu, Fang. "A Cross-Hierarchical Scanning Method Based SP-4-WFRFT for Digital Communication Signals." Mathematical Problems in Engineering 2018 (August 8, 2018): 1–9. http://dx.doi.org/10.1155/2018/6580146.

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The fractional Fourier transform (FRFT) method has emerged in response to the demand for high-performance time-frequency processing technology. Next, the weighted fractional Fourier transform (WFRFT) method was developed, especially the single-parameter 4-weighted fractional Fourier transform (SP-4-WFRFT), which is most suitable for applications in digital communication systems. Therefore, in receiving systems, research on the scanning method of transformation order has also become the focus of research under the condition of unknown transformation order. However, in the process of inverse tra
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Fan, Chih-Peng, and Guo-An Su. "Pruning fast Fourier transform algorithm design using group-based method." Signal Processing 87, no. 11 (2007): 2781–98. http://dx.doi.org/10.1016/j.sigpro.2007.05.012.

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47

Mennouni, Abdelaziz, Nedjem Eddine Ramdani, and Khaled Zennir. "A new class of fredholm integral equations of the second kind with non symmetric kernel: solving by wavelets method." Boletim da Sociedade Paranaense de Matemática 39, no. 6 (2021): 67–80. http://dx.doi.org/10.5269/bspm.41734.

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In this paper, we present an ecient modication of the wavelets method to solve a new class of Fredholm integral equations of the second kind with non symmetric kernel. This -analytical method based on orthonormal wavelet basis, as a consequence three systems are obtained, a Toeplitz system and two systems with condition number close to 1. Since the preconditioned conjugate gradient normal equation residual (CGNR) and preconditioned conjugate gradient normal equation error (CGNE) methods are applicable, we can solve the systems in O(2n log(n)) operations, by using the fast wavelet transform and
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Ni, Ying-Ge, Wei Zhang, Yi Lv, and Stylianos Georgantzinos. "A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities." Mathematical Problems in Engineering 2020 (September 29, 2020): 1–19. http://dx.doi.org/10.1155/2020/5767451.

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A modified incremental harmonic balance method is presented to analyze the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity. The current method, which combines the traditional incremental harmonic balance method and a fast Fourier transform, can be used to obtain the higher-order approximate solution for the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity using significantly fewer linearized algebraic equations than the traditional method, and the dominant frequency components of the respon
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49

Qi, Wenrui, Danguang Pan, Yongtao Gao, Wenyan Lu, and Ying Huang. "A Fast Frequency Domain Method for Steady-State Solution of Forced Vibration of System with Complex Damping." Applied Sciences 10, no. 10 (2020): 3442. http://dx.doi.org/10.3390/app10103442.

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The conventional frequency domain method (CFDM) and dual-force-based time domain method (DTDM) are often used to solve the steady-state response of system with complex damping under an arbitrary force. However, the calculation efficiency of the DTDM is low due to the straightforward summation operation of series even if the solution of the DTDM is the exact real part of the solution. In addition, since the CFDM only can obtain the real part of solution not the complete solution, it gives misleading information that the solution does not have an imaginary part. In this paper, a fast frequency d
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50

Yang, Hua, Jun Wu, and Lei Meng Cheng. "Research and Design about a System of Harmonic Detection Based on ARM and HHT." Applied Mechanics and Materials 333-335 (July 2013): 487–91. http://dx.doi.org/10.4028/www.scientific.net/amm.333-335.487.

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As we all know FFT(Fast Fourier Transform) can be used analyze and calculate linear and stationary signals, while signals in reality are always nonlinear and transient, so we use HHT(Hilbert-Huang Transform) to detect them. In the past,scholars detect harmonics by applying ARM accompany with FFT. In this article, we use the development board S3C6410-as hardware platform. our processor is ARM, while the main algorithm is HHT.
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