Results 11 to 20 of about 15,774 (263)
Mathematics, 2022 This study presents a data reconstruction-based two-step non-intrusive reduced-order modeling (ROM) based on discrete Fourier transformation (DFT) and proper orthogonal decomposition-radial basis function (POD-RBF) interpolation.
Jonggeon Lee, Euiyoung Kim, Jaehun Lee
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Discrete fourier transform on multicore [PDF]
IEEE Signal Processing Magazine, 2009 This article gives an overview on the techniques needed to implement the discrete Fourier transform (DFT) efficiently on current multicore systems. The focus is on Intel-compatible multicores, but we also discuss the IBM Cell and, briefly, graphics processing units (GPUs).
Franz Franchetti +4 more
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The discrete fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 1999 Summary: We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform.
Cagatay Candan +2 more
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On computing the Discrete Fourier Transform [PDF]
Proceedings of the National Academy of Sciences, 1976 New algorithms for computing the Discrete Fourier Transform of n points are described. For n in the range of a few tens to a few thousands these algorithms use substantially fewer multiplications than the best algorithm previously known, and about the same number of additions.
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IEEE Access, 2020 In this paper, we present a modified modulated wideband converter (MWC)-based digital receiver for fractional bandlimited signals, and further propose an intra-pulse modulation recognition method in discrete time fractional Fourier domain (DTFrFD) for ...
Xiaomin Li, Huali Wang, Haichao Luo
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Construction of Fair Dice Pairs
Mathematics, 2019 An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier Transformation, we present all the 2000 fair dice ...
Yong Huang +5 more
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Steerable Discrete Fourier Transform [PDF]
IEEE Signal Processing Letters, 2017 Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT). Since the DFT is used in numerous fields, it may be of interest in a wide range of applications.
FRACASTORO, GIULIA, MAGLI, ENRICO
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Integrated representation for discrete Fourier and wavelet transforms using vector notation
Mehran University Research Journal of Engineering and Technology, 2022 Many mathematical operations are implemented easily through transform domain operations. Multiple transform domain operations are used independently in large and complex applications.
Tariq Javid +3 more
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Pseudorandomness via the Discrete Fourier Transform [PDF]
2015 IEEE 56th Annual Symposium on Foundations of Computer Science, 2015 We present a new approach to constructing unconditional pseudorandom generators against classes of functions that involve computing a linear function of the inputs. We give an explicit construction of a pseudorandom generator that fools the discrete Fourier transforms of linear functions with seed-length that is nearly logarithmic (up to polyloglog ...
Gopalan, Parikshit +2 more
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Discrete Fourier transformation processor based on complex radix (−1 + j) number system
Engineering Science and Technology, an International Journal, 2017 Complex radix (−1 + j) allows the arithmetic operations of complex numbers to be done without treating the divide and conquer rules, which offers the significant speed improvement of complex numbers computation circuitry.
Anidaphi Shadap, Prabir Saha
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