Relevant bibliographies by topics / Discrete-Time Fourier Transform

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Discrete-Time Fourier Transform'

Author: Grafiati
Published: 3 June 2025
Last updated: 20 July 2025

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Journal articles on the topic "Discrete-Time Fourier Transform"

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Shah, Yogendra Prasad. "Applications of Fourier Series and Fourier Transformation." Cognition 2, no. 1 (2019): 145–56. http://dx.doi.org/10.3126/cognition.v2i1.55605.

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This paper investigates into the application of fourier transformation and series, which converts time domain signal to frequency domain signals, at which signals can be analyzed. Unlike Laplace transform, Fourier Transforms does not have full S plane, it just have the frequency j2πf plane. Fourier Transforms helps to analyze spectrum of the signals, helps in find the response of the LTI systems. (Continuous Time Fourier Transforms is for Analog signals and Discrete time Fourier Transforms is for discrete signals). Discrete Fourier Transforms are helpful in Digital signal processing for making
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Fischer, Jens. "Four Particular Cases of the Fourier Transform." Mathematics 6, no. 12 (2018): 335. http://dx.doi.org/10.3390/math6120335.

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In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions. These results are now used in this study to derive a validity statement for four interlinking formulas. They are variants of Poisson’s Summation Formula and connect four commonly defined Fourier transforms to one another, the integral Fourier transform, the Discrete-Time Fourier Transform (DTFT), the Discrete Fourier Transform (DFT) and the integral Fourier transform for periodic functions—used to analyze Fourier series. We prove that under
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Ponomareva, O. V., V. A. Alekseev, and A. V. Ponomarev. "A New Method to Construct Algorithms for Fast Discrete Fourier Transform of Finite Complex and Real Signals Based on Thesecond Type Parametric Discrete Fourier Transforms." Intellekt. Sist. Proizv. 22, no. 1 (2024): 78–84. http://dx.doi.org/10.22213/2410-9304-2024-1-78-84.

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The article develops a simple, efficient and effective method for fast discrete Fourier transform, which allows to calculate Fourier coefficients (bins) independently at positive and negative frequenciesfor finite complex and real signals.The algebraic and matrix forms of the discrete Fourier transform and the structure of its basis - the basis of exponential Fourier functions - are briefly considered.The main section of the article discusses generalizations of the discrete Fourier transform in the form of parametric discrete Fourier transforms.Two types of parametric discrete Fourier transfor
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Hanna, M. T., and S. A. Mansoori. "The discrete time wavelet transform: its discrete time Fourier transform and filter bank implementation." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 48, no. 2 (2001): 180–83. http://dx.doi.org/10.1109/82.917787.

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Jani, A., and V. H. Makwana. "Modified discrete Fourier transform algorithm for protection of shunt compensated distribution line." Electrical Engineering & Electromechanics, no. 2 (March 5, 2023): 63–68. http://dx.doi.org/10.20998/2074-272x.2023.2.10.

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Introduction. The response time of the relay plays vital role when fault occurs on the line. Various algorithms are adopted to increase the sampling rate of the relay which, in turn, improves the response time. Methods. Discrete Fourier transform and modified discrete Fourier transform are the two algorithms used to calculate the fundamental frequency phasor of the signal required by the relay to initiate trip command. It is known that discrete Fourier transform takes four to five cycles to produce the fundamental frequency phasor but it fails to deal with the decaying DC component. On the oth
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Ponomarev, Vladimir, Olga Ponomareva, Alexey Ponomarev, and Natalya Smirnova. "Sliding signal processing in telecommunication networks based on two-dimensional discrete Fourier transform." ITM Web of Conferences 30 (2019): 04013. http://dx.doi.org/10.1051/itmconf/20193004013.

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A method of vertical sliding processing of two-dimensional discrete signals in the spatial frequency domain is proposed — a method of fast vertically sliding two-dimensional discrete Fourier transform. The mathematical representation of the two-dimensional discrete Fourier transform in algebraic and matrix form is considered. An effective method of vertically sliding two-dimensional discrete Fourier transform is proposed. The algorithm developed in the framework of the proposed method allows calculating the coefficients (bins) of this transformation in real time.
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Singh, Pushpendra. "Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis." Royal Society Open Science 5, no. 11 (2018): 181131. http://dx.doi.org/10.1098/rsos.181131.

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The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well known and widely used mathematical formulations for modelling and analysis of signals in various applications. In this study, like the HT, to obtain quadrature component of a signal, we propose novel discrete Fourier cosine quadrature transforms (FCQTs) and discrete Fourier sine quadrature transforms (FSQTs), designated as Fourier quadrature transforms (FQTs). Using these FQTs, we propose 16 Fourier quadrature analytic signal (FQAS) representations with following properties: (1) real part of eight FQA
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Wei, Shu Ang, Li Gao, Zhi Ye Sun, and Shi Jue Zheng. "A Mobile Data Minging Algorithm Based on Discrete Fourier Transform by Genetic Algorithm." Advanced Materials Research 108-111 (May 2010): 1452–57. http://dx.doi.org/10.4028/www.scientific.net/amr.108-111.1452.

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In the mobile environment, considering resource constraint, the frequent disconnect, synchronous data flow, the cost of communication, mobility and so on, combined with discrete Fourier transform (Discrete Fourier Transform, DFT) algorithm to facilitate time-domain and frequency domain conversion advantages as well as the genetic algorithm’s (Genetic Algorithm, GA) good global search capability ,this paper proposes a mobile data mining model which is based on the combination of Discrete Fourier Transform and Genetic Algorithm (DFTGA).
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Wen, Cong Xi, Shan Gao, Xiang Ning Xiao, Yong Hai Xu, and Shun Tao. "Forecast of Power Quality Index Based on the Discrete Fourier Decomposition and AR Model." Advanced Materials Research 732-733 (August 2013): 1420–26. http://dx.doi.org/10.4028/www.scientific.net/amr.732-733.1420.

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A method of autoregressive (AR) based on discrete Fourier analysis is proposed to forecast the indexes of unbalance factor and total harmonic distortion. The discrete Fourier transform of the index sequence is analyzed and the low frequency components are extracted. Autoregressive method is applied to forecast each low frequency component. Through inverse discrete Fourier transform, the forecasting low frequency components are inverted to forecasting sequence of the index in time domain. Actual data is used to test this method and the results show that discrete Fourier analysis is possible to
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Fernández, Carmen, Antonio Galbis, and Josep Martínez. "Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/131459.

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Localization operators in the discrete setting are used to obtain information on a signalffrom the knowledge on the support of its short time Fourier transform. In particular, the extremal functions of the uncertainty principle for the discrete short time Fourier transform are characterized and their connection with functions that generate a time-frequency basis is studied.
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Dissertations / Theses on the topic "Discrete-Time Fourier Transform"

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Sayyah, Jahromi Mohammad Reza Information Technology &amp Electrical Engineering Australian Defence Force Academy UNSW. "Efficient broadband antenna array processing using the discrete fourier form transform." Awarded by:University of New South Wales - Australian Defence Force Academy. School of Information Technology and Electrical Engineering, 2005. http://handle.unsw.edu.au/1959.4/38690.

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Processing of broadband signals induced on an antenna array using a tapped delay line filter and a set of steering delays has two problems. Firstly one needs to manipulate large matrices to estimate the filter coefficients. Secondly the use of steering delays is not only cumbersome but implementation errors cause loss of system performance. This thesis looks at both of these problems and presents elegant solutions by developing and studying a design method referred to as the DFT method, which does not require steering delays and is computationally less demanding compared to existing methods.
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Helienek, Matúš. "Simulační a experimentální analýza řezání kotoučovou pilou." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2018. http://www.nusl.cz/ntk/nusl-412924.

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This thesis deals with analysis of dynamic forces and vibrations created during cutting with saw. The analysis is done on both simulation and experimental level. Acquired signals are evaluated with signal tools as STFT, CWT and DWT.
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Rocha, Rodolfo Varraschim. "Algoritmos recursivos e não-recursivos aplicados à estimação fasorial em sistemas elétricos de potência." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18154/tde-31052016-161000/.

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Este trabalho apresenta uma análise de algoritmos computacionais aplicados à estimação de fasores elétricos em SEPs. A medição dos fasores é realizada por meio da alocação de Unidades de Medição Fasorial nestes sistemas e encontra diversas aplicações nas áreas de operação, controle, proteção e planejamento. Para que os fasores possam ser aplicados, são definidos padrões de medição, sincronização e comunicação, por meio da norma IEEE C37.118.1. A norma apresenta os padrões de mensagens, timetag, fasores, sistema de sincronização, e define testes para avaliar a estimação. Apesar de abranger todo
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Vegh, Viktor. "Numerical modelling of industrial microwave heating." Thesis, Queensland University of Technology, 2003. https://eprints.qut.edu.au/37144/7/37144_Digitised%20Thesis.pdf.

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The numerical modelling of electromagnetic waves has been the focus of many research areas in the past. Some specific applications of electromagnetic wave scattering are in the fields of Microwave Heating and Radar Communication Systems. The equations that govern the fundamental behaviour of electromagnetic wave propagation in waveguides and cavities are the Maxwell's equations. In the literature, a number of methods have been employed to solve these equations. Of these methods, the classical Finite-Difference Time-Domain scheme, which uses a staggered time and space discretisation, is the mos
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Martins, Carlos Henrique Nascimento. "Estudo e implementação de um analisador de harmônicos variantes no tempo." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/4176.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-04-25T17:30:25Z No. of bitstreams: 1 carloshenriquenascimentomartins.pdf: 10221613 bytes, checksum: 0d6eef0f715fc0f9f68bf12a390dcd55 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-04-26T12:22:24Z (GMT) No. of bitstreams: 1 carloshenriquenascimentomartins.pdf: 10221613 bytes, checksum: 0d6eef0f715fc0f9f68bf12a390dcd55 (MD5)<br>Made available in DSpace on 2017-04-26T12:22:24Z (GMT). No. of bitstreams: 1 carloshenriquenascimentomartins.pdf: 10221613 bytes, checksum: 0d6eef0f715fc0f9f
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Algarhi, Amr Saber Ibrahim. "Essays on long memory time series and fractional cointegration." Thesis, University of Exeter, 2013. http://hdl.handle.net/10871/13791.

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The dissertation considers an indirect approach for the estimation of the cointegrating parameters, in the sense that the estimators are jointly constructed along with estimating other nuisance parameters. This approach was proposed by Robinson (2008) where a bivariate local Whittle estimator was developed to jointly estimate a cointegrating parameter along with the memory parameters and the phase parameters (discussed in chapter 2). The main contributions of this dissertation is to establish, similar to Robinson (2008), a joint estimation of the memory, cointegrating and phase parameters in s
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Zuo, Jian. "The Frequency Monitor Network (FNET) Design and Situation Awareness Algorithm Development." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/26721.

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Wide Area Measurements (WAMs) have been widely used in the energy management system (EMS) of power system for monitoring, operation and control. In recent years, the advent of synchronized Phasor Measurements Unit (PMU) has added another dimension to the field of wide-area measurement. However, the high cost of the PMU, which includes the manufacture and deployment fee, is a hurdle to the wide use of the PMU in power systems. Unlike traditional PMUs, the frequency monitoring network (FNET) developed by the Virginia Tech Power IT lab is an Internetâ based, GPSâ synchronized, wide-area frequen
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Yuan-Chu, Yu, and 余遠渠. "Design and Implementation of High-Effective Pipelined Processors for Discrete-Time Fourier Transform Applications." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/42010162568771700934.

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博士<br>國立交通大學<br>電機與控制工程系所<br>96<br>In this thesis, the design and implementation of effective pipeline processors for Fourier transform are presented. Four different real-time applications are introduced, which includes dual tone multi-frequency (DTMF) detector in the high channel density voice over packet (VoP) application, multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) wireless LAN (WLAN) system, long-length based FFT/IFFT computations in digital video broadcasting－handheld (DVB-T) standard and FFT/IFFT/2D-DCT computations in next generation mobile mult
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Chang, Chun. "A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit." Thesis, 2012. http://hdl.handle.net/1807/32460.

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This thesis introduces spatial filtering, which is a technique to extend the time step size beyond the conventional stability limit for the Finite-Difference Time-Domain (FDTD) method, at the expense of transforming field nodes between the spatial domain and the discrete spatial-frequency domain and removing undesired spatial-frequency components at every FDTD update cycle. The spatially-filtered FDTD method is demonstrated to be almost as accurate as and more efficient than the conventional FDTD method via theories and numerical examples. Then, this thesis combines spatial filtering and an ex
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Hulett, David Alexander. "De Fourier a wavelets : un breve recorrido por el análisis tiempo-frecuencia." Bachelor's thesis, 2020. http://hdl.handle.net/11086/15941.

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Tesis (Lic. en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2020.<br>Un pequeño tour por el análisis de Fourier. Definimos a la transformada continua de Fourier, presentamos y estudiamos los resultados principales de la serie de Fourier y de la transformada de Fourier discreta. Analizamos cómo hacer la transición de serie a transformada continua y de transformada discreta a la serie. Para estudiar la estructura tiempo-frecuencia de una función presentamos a las transformadas atómicas y estudiamos dos ejemplos: la STFT y la transformada
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Books on the topic "Discrete-Time Fourier Transform"

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Schurz, Henri, Philip J. Feinsilver, Gregory Budzban, and Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Edited by Mohammed Salah-Eldin 1946- and Mukherjea Arunava 1941-. American Mathematical Society, 2016.

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Boudreau, Joseph F., and Eric S. Swanson. Continuum dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0019.

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The theory and application of a variety of methods to solve partial differential equations are introduced in this chapter. These methods rely on representing continuous quantities with discrete approximations. The resulting finite difference equations are solved using algorithms that stress different traits, such as stability or accuracy. The Crank-Nicolson method is described and extended to multidimensional partial differential equations via the technique of operator splitting. An application to the time-dependent Schrödinger equation, via scattering from a barrier, follows. Methods for solv
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Book chapters on the topic "Discrete-Time Fourier Transform"

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Khan, Muhammad N., Syed K. Hasnain, and Mohsin Jamil. "Discrete-Time Fourier Transform Discrete Fourier Transform." In Digital Signal Processing. River Publishers, 2022. http://dx.doi.org/10.1201/9781003337935-6.

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Alkin, Oktay. "Discrete Fourier Transform." In Discrete-Time Signals and Systems, 2nd ed. CRC Press, 2025. https://doi.org/10.1201/9781003570462-7.

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Sobot, Robert. "Discrete-Time Fourier Transform." In Engineering Mathematics by Example. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-41203-5_6.

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Unpingco, José. "Discrete-Time Fourier Transform." In Python for Signal Processing. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01342-8_3.

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Sundararajan, D. "Discrete-Time Fourier Transform." In Digital Signal Processing. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62368-5_4.

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Sundararajan, Dr D. "Discrete-Time Fourier Transform." In Digital Signal Processing. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-56740-7_4.

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Sobot, Robert. "Discrete Time Fourier Transform." In Engineering Mathematics by Example. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-81104-3_8.

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Asadi, Farzin. "Discrete Time Fourier Transform (DTFT) and Discrete Fourier Transform (DFT)." In Signals and Systems with MATLAB® and Simulink®. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-45622-0_5.

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Sundararajan, D. "The Discrete-Time Fourier Transform." In Signals and Systems. Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-19377-4_7.

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Sundararajan, D. "The Discrete-Time Fourier Transform." In Fourier Analysis—A Signal Processing Approach. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1693-7_8.

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Conference papers on the topic "Discrete-Time Fourier Transform"

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Phungtua-eng, Thanapol, and Yoshitaka Yamamoto. "A Fast Season Length Estimation Using Sliding Discrete Fourier Transform for Time Series Streaming Data." In 2024 16th IIAI International Congress on Advanced Applied Informatics (IIAI-AAI). IEEE, 2024. http://dx.doi.org/10.1109/iiai-aai63651.2024.00093.

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Hu, H., D. J. Esman, V. Ataie, et al. "Comb-Assisted Real-Time Discrete Fourier Transform Processor." In Optical Fiber Communication Conference. OSA, 2017. http://dx.doi.org/10.1364/ofc.2017.m2j.3.

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Talwalkar, Sumit A., and S. Lawrence Marple. "Time-frequency scaling property of Discrete Fourier Transform (DFT)." In 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2010. http://dx.doi.org/10.1109/icassp.2010.5495902.

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Alexey, Ponomarev, and Ponomareva Olga. "Real Time Method and Algorithms for Fast Discrete Fourier Transform of Discrete Finite Signals." In 2024 26th International Conference on Digital Signal Processing and its Applications (DSPA). IEEE, 2024. http://dx.doi.org/10.1109/dspa60853.2024.10510069.

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Abodena, Omar, Mary Agoyi, and Erbug Celebi. "Hybrid technique for robust image watermarking using discrete time fourier transform." In 2017 25th Signal Processing and Communications Applications Conference (SIU). IEEE, 2017. http://dx.doi.org/10.1109/siu.2017.7960254.

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Blough, Jason R., David L. Brown, and Håvard Vold. "The Time Variant Discrete Fourier Transform as an Order Tracking Method." In SAE Noise and Vibration Conference and Exposition. SAE International, 1997. http://dx.doi.org/10.4271/972006.

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Sherlock, Barry G., and Yogendra P. Kakad. "Rapid update of discrete Fourier transform for real-time signal processing." In Aerospace/Defense Sensing, Simulation, and Controls, edited by Firooz A. Sadjadi. SPIE, 2001. http://dx.doi.org/10.1117/12.445398.

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Wen-Ren Yang and Wen-Xun Yang. "Discrete wavelet transform and short-time fourier transform applications: Wafer microcrack and voltage sag detection." In 2010 International Conference on System Science and Engineering (ICSSE). IEEE, 2010. http://dx.doi.org/10.1109/icsse.2010.5551794.

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Meher, P. K., J. C. Patra, and A. P. Vinod. "Novel Recursive Solution for Area-Time Efficient Systolization of Discrete Fourier Transform." In 2007 International Symposium on Signals, Circuits and Systems. IEEE, 2007. http://dx.doi.org/10.1109/isscs.2007.4292684.

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Dilworth, Brandon J., and Jason R. Blough. "Implementation of the Time Variant Discrete Fourier Transform as a Real-Time Order Tracking Method." In SAE 2007 Noise and Vibration Conference and Exhibition. SAE International, 2007. http://dx.doi.org/10.4271/2007-01-2213.

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