Relevant bibliographies by topics / Fractional Fourier transform

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Academic literature on the topic 'Fractional Fourier transform'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Fractional Fourier transform"

1

Zakia, Abdul Wahid, Iqbal Saleem, Sarwar Farhana, and Rehman Abdul. "THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM." International Journal of Engineering Technologies and Management Research 7, no. 1 (2020): 36–41. https://doi.org/10.5281/zenodo.3707069.

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In this paper we have developed the kernel of N-dimensional fractional Fourier transform by extending the definition of first dimensional fractional Fourier transform. The properties of kernel up to N- dimensional are also presented here which is missing in the literature of fractional Fourier transform. The properties of kernel of fractional Fourier transforms up to N- dimensional will help the researcher to extend their research in this aspect.
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Wahid, Zakia Abdul, Saleem Iqbal, Farhana Sarwar, and Abdul Rehman. "THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM." International Journal of Engineering Technologies and Management Research 7, no. 1 (2020): 36–41. http://dx.doi.org/10.29121/ijetmr.v7.i1.2020.495.

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In this paper we have developed the kernel of N-dimensional fractional Fourier transform by extending the definition of first dimensional fractional Fourier transform. The properties of kernel up to N- dimensional are also presented here which is missing in the literature of fractional Fourier transform. The properties of kernel of fractional Fourier transforms up to N- dimensional will help the researcher to extend their research in this aspect.
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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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Atakishiyev, Natig M., and Kurt Bernardo Wolf. "Fractional Fourier–Kravchuk transform." Journal of the Optical Society of America A 14, no. 7 (1997): 1467. http://dx.doi.org/10.1364/josaa.14.001467.

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Khare, Kedar, and Nicholas George. "Fractional finite Fourier transform." Journal of the Optical Society of America A 21, no. 7 (2004): 1179. http://dx.doi.org/10.1364/josaa.21.001179.

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Liu, Zhengjun, and Shutian Liu. "Random fractional Fourier transform." Optics Letters 32, no. 15 (2007): 2088. http://dx.doi.org/10.1364/ol.32.002088.

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SUTRISNA, IIN, Asriadi Nasrun, Mawardi Bahri, and Syamsuddin Toaha. "Transformasi Fourier Fraksional dari Fungsi Gaussian." Jurnal Matematika, Statistika dan Komputasi 16, no. 1 (2019): 19. http://dx.doi.org/10.20956/jmsk.v16i1.5939.

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The fractional Fourier transform is one of the generalizations of ordinary Fourier transform that depend on a particular angle . In this paper we will derive the fractional Fourier transforms of a function that is well known in the field of analysis, namely Gaussian function.
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Jin, Jian Guo, Chen Chen, Ming Jun Wei, and Li Chun Xia. "Research of FRFT Rotation Factor Sensitivity and Diffusion Based on Audio." Applied Mechanics and Materials 155-156 (February 2012): 337–41. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.337.

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As the fractional Fourier transform has advantages in signal processing areas, it has been used more and more in various fields. Based on audio data sources, the paper analyzed the rotation factor sensitivity and diffusion of fractional Fourier transform. System test results show that the fractional Fourier transforms rotation factor sensitivity Δα≥10-3. It plays an important role in the area of attacking chaos. Diffusion analysis shows that it will lead to the complete failure of inverse transform to restore the original signal, when any element cn of fractional Fourier domain changes 0.2 tim
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Wei, Cheng-Dong, and Guang-Sheng Chen. "Application of local fractional fourier sine transform for 1-D local fractional heat transfer equation." Thermal Science 22, no. 4 (2018): 1729–35. http://dx.doi.org/10.2298/tsci1804729w.

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This paper proposes a new method called the local fractional Fourier sine transform to solve fractional differential equations on a fractal space. The method takes full advantages of the Yang-Fourier transform, the local fractional Fourier cosine, and sine transforms. A 1-D local fractional heat transfer equation is used as an example to reveal the merits of the new technology, and the example can be used as a paradigm for other applications.
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Seok, Jongwon, Taehwan Kim, and Keunsung Bae. "LFM Signal Separation Using Fractional Fourier Transform." Journal of the Korean Institute of Information and Communication Engineering 17, no. 3 (2013): 540–45. http://dx.doi.org/10.6109/jkiice.2013.17.3.540.

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Dissertations / Theses on the topic "Fractional Fourier transform"

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Sarafraz, Yazdi Hossein. "Fractional Fourier transform and its optical applications." OpenSIUC, 2012. https://opensiuc.lib.siu.edu/theses/992.

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A definition of fractional Fourier transform as the generalization of ordinary Fourier transform is given at the beginning. Then due to optical reasons the fractional transform of a so-called chirp functions is considered in both theory and practical simulations. Because of a quadratic phase factor which is common in the definition of the transform and some optical concepts, a comparison between these concepts such as Fresnel diffraction, spherical wave, thin lens and free space propagation and the transform has been done. Finally an optical setup for performing the fractional transform is in
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Jang, Seongman Sarkar Tapan. "Exploiting early time scattering response using fractional Fourier transform." Related Electronic Resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2003. http://wwwlib.umi.com/cr/syr/main.

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Capus, Chris G. "Time-frequency methods based on the fractional fourier transform." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/1194.

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Maddukuri, Achyutha Ramarao. "Fractional Fourier Transform and Scaling Problem in Signals and Images." Thesis, Blekinge Tekniska Högskola, Institutionen för tillämpad signalbehandling, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-16985.

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Context: We identify a material or thing that can be seen and touched in the world as having structures at both coarser and finer levels of scale. Scaling problem presents in a branch of science concerned with the description, prediction understanding of natural phenomena and visual arts. A moon, for instance, may appear as having a roughly round shape is much larger than stars when seen from the earth. In the closer look, the moon is much smaller than the stars. The fact that objects in the world appear in different ways depending upon the scale of observation has important implications when
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Barbu, Madalina. "Acoustic Seabed and Target Classification using Fractional Fourier Transform and Time-Frequency Transform Techniques." ScholarWorks@UNO, 2006. http://scholarworks.uno.edu/td/480.

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An approach for processing sonar signals with the ultimate goal of ocean bottom sediment classification and underwater buried target classification is presented in this dissertation. Work reported for sediment classification is based on sonar data collected by one of the AN/AQS-20's sonars. Synthetic data, simulating data acquired by parametric sonar, is employed for target classification. The technique is based on the Fractional Fourier Transform (FrFT), which is better suited for sonar applications because FrFT uses linear chirps as basis functions. In the first stage of the algorithm,
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Gustafsson, Per. "Locating Unknown Wireless Devices Using Stimulated Emissions and the Fractional Fourier Transform." Thesis, KTH, Skolan för informations- och kommunikationsteknik (ICT), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-128931.

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Unknown wireless devices that use receiver architectures with a mixer may be detected and located using stimulated emissions. Transmitting a known stimulation signal and correlating leaked mixer products allows measurement of the TOF and thus range. The FRFT improves the detection of the stimulated emissions by compressing the energy of the stimulated emissions to a single axis value. The stimulation signal has many parameters that may be optimized for maximum detection distance or minimum range error or somewhere in between. The primary limiting factor for the parameters is the processing tim
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Alghamdi, Ohud. "Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077.

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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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Anoh, Kelvin Ogbonnaya Okorie. "Advanced MIMO-OFDM technique for future high speed braodband wireless communications : a study of OFDM design, using wavelet transform, fractional fourier transform, fast fourier transform, doppler effect, space-time coding for multiple input, multiple output wireless communications systems." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/14400.

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This work concentrates on the application of diversity techniques and space time block coding for future high speed mobile wireless communications on multicarrier systems. At first, alternative multicarrier kernels robust for high speed doubly-selective fading channel are sought. They include the comparisons of discrete Fourier transform (DFT), fractional Fourier transform (FrFT) and wavelet transform (WT) multicarrier kernels. Different wavelet types, including the raised-cosine spectrum wavelets are implemented, evaluated and compared. From different wavelet families, orthogonal wavelets are
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Anoh, Kelvin O. O. "Advanced MIMO-OFDM technique for future high speed braodband wireless communications. A study of OFDM design, using wavelet transform, fractional fourier transform, fast fourier transform, doppler effect, space-time coding for multiple input, multiple output wireless communications systems." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/14400.

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This work concentrates on the application of diversity techniques and space time block coding for future high speed mobile wireless communications on multicarrier systems. At first, alternative multicarrier kernels robust for high speed doubly-selective fading channel are sought. They include the comparisons of discrete Fourier transform (DFT), fractional Fourier transform (FrFT) and wavelet transform (WT) multicarrier kernels. Different wavelet types, including the raised-cosine spectrum wavelets are implemented, evaluated and compared. From different wavelet families, orthogonal wavele
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Books on the topic "Fractional Fourier transform"

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Kunche, Prajna, and N. Manikanthababu. Fractional Fourier Transform Techniques for Speech Enhancement. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42746-7.

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Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. American Mathematical Society, 2016.

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Kunche, Prajna, and N. Manikanthababu. Fractional Fourier Transform Techniques for Speech Enhancement. Springer, 2020.

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4

Ozaktas, Haldun M., Zeev Zalevsky, and M. Alper Kutay. The Fractional Fourier Transform: With Applications in Optics and Signal Processing. Wiley, 2001.

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Prasad, Ramjee, Vinay K. Trivedi, and Preetam Kumar. Discrete Fractional Fourier Transform Based OFDM System for Future Wireless Mobile Communication. River Publishers, 2021.

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Prasad, Ramjee, Vinay K. Trivedi, and Preetam Kumar. Discrete Fractional Fourier Transform Based OFDM System for Future Wireless Mobile Communication. River Publishers, 2021.

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Weathermon, Adam C. A coded excitation system for pulsed Doppler ultrasound based on the fractional Fourier transform. 2004.

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Book chapters on the topic "Fractional Fourier transform"

1

Kunche, Prajna, and N. Manikanthababu. "Fractional Fourier Transform." In SpringerBriefs in Speech Technology. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42746-7_2.

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Luchko, Yuri. "Fractional Fourier transform." In Basic Theory, edited by Anatoly Kochubei and Yuri Luchko. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571622-009.

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Yatagai, Toyohiko. "Fractional Fourier Transform." In Fourier Theory in Optics and Optical Information Processing. CRC Press, 2022. http://dx.doi.org/10.1201/9781003121916-13.

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Zayed, Ahmed I. "The Fractional Fourier Transform (FrFT)." In Fractional Integral Transforms. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003089353-4.

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Zayed, Ahmed I. "The Special Affine Fourier Transform (SAFT)." In Fractional Integral Transforms. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003089353-10.

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Zayed, Ahmed I. "Two-Dimensional Coupled Fractional Fourier Transform (CFrFT)." In Fractional Integral Transforms. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003089353-6.

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Campos, Rafael G. "A Discrete Fractional Fourier Transform." In Applied and Numerical Harmonic Analysis. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13423-5_5.

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Li, Ming. "Fourier Transform and Spectra." In Fractional Vibrations with Applications to Euler-Bernoulli Beams. CRC Press, 2023. http://dx.doi.org/10.1201/9781003460947-4.

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Zayed, Ahmed I. "Short-Time Coupled Fractional Fourier Transform and Uncertainty Relations." In Fractional Integral Transforms. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003089353-8.

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Zayed, Ahmed I. "The Two-Dimensional Fractional Fourier Transform and The Wigner Distribution." In Fractional Integral Transforms. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003089353-7.

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Conference papers on the topic "Fractional Fourier transform"

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Rjili, Marwa, Abdelhakim Khlif, Ines Lahmar, Fatma Ben Salah, and Belghacem Chibani. "A OTFS System Based Weighted Fractional Fourier Transform." In 2024 IEEE International Multi-Conference on Smart Systems & Green Process (IMC-SSGP). IEEE, 2024. https://doi.org/10.1109/imc-ssgp63352.2024.10919854.

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Krishna, B. T. "Fractional Fourier transform." In the International Conference. ACM Press, 2012. http://dx.doi.org/10.1145/2345396.2345519.

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Sheikh, Akilahmad G., Nitin M. Bhondge, and Alim S. Khan. "Relationship of fractional Hilbert transform with Fourier and fractional Fourier Transforms." In SECOND ONLINE INTERNATIONAL CONFERENCE ON RESEARCH FRONTIERS IN SCIENCES. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0224534.

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Madrid, Yesid, Martha Molina, and Rafael Torres. "Quantum Fractional Fourier Transform." In Frontiers in Optics. OSA, 2018. http://dx.doi.org/10.1364/fio.2018.jtu2a.73.

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Shiloh, Lihi, and Avishay Eyal. "Fractional Fourier transform reflectometry." In OFS2014 23rd International Conference on Optical Fiber Sensors, edited by José M. López-Higuera, Julian D. C. Jones, Manuel López-Amo, and José L. Santos. SPIE, 2014. http://dx.doi.org/10.1117/12.2059621.

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Ozaktas, Haldun M., and M. Alper Kutay. "The fractional fourier transform." In 2001 European Control Conference (ECC). IEEE, 2001. http://dx.doi.org/10.23919/ecc.2001.7076127.

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Torres Moreno, Cesar O., Oscar L. Neira, and Yezid Torres. "Ray transfer matrix and fractional Fourier transform." In IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, edited by Vera L. Brudny, Silvia A. Ledesma, and Mario C. Marconi. SPIE, 2001. http://dx.doi.org/10.1117/12.437110.

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Zeng, Yangsu, Yixiao Zhang, Feng Gao, Fuhua Gao, Xiaoyang Huang, and Yongkang Guo. "Multiple fractional Fourier transform holography." In Electronic Imaging 2002, edited by Rudolf L. van Renesse. SPIE, 2002. http://dx.doi.org/10.1117/12.462730.

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Pei, Soo-Chang, Chun-Lin Liu, and Yun-Chiu Lai. "The generalized fractional fourier transform." In ICASSP 2012 - 2012 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2012. http://dx.doi.org/10.1109/icassp.2012.6288721.

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Candan, C., M. A. Kutay, and H. M. Ozaktas. "The discrete fractional Fourier transform." In 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258). IEEE, 1999. http://dx.doi.org/10.1109/icassp.1999.756324.

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Reports on the topic "Fractional Fourier transform"

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Tan, Cheng-Yang. A boostrap algorithm for temporal signal reconstruction in the presence of noise from its fractional Fourier transformed intensity spectra. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1009591.

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