Four Particular Cases of the Fourier Transform
Mathematics, 2018 In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
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Efficient DCT-MCM Detection for Single and Multi-Antenna Wireless Systems [PDF]
, 2017 The discrete cosine transform (DCT) based multicarrier modulation (MCM) system is regarded as one of the promising transmission techniques for future wireless communications.
Cao, Aijun +5 more
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Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming
IEEE Access, 2020 The discrete Fourier transform (DFT) is widely employed for multi-beam digital beamforming. The DFT can be efficiently implemented through the use of fast Fourier transform (FFT) algorithms, thus reducing chip area, power consumption, processing time ...
Arjuna Madanayake +8 more
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An Orthogonal Discrete Auditory Transform
, 2005 An orthogonal discrete auditory transform (ODAT) from sound signal to spectrum is constructed by combining the auditory spreading matrix of Schroeder et al and the time one map of a discrete nonlocal Schr\"odinger equation.
Qi, Yingyong, Xin, Jack
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Maximum likelihood based estimation of frequency and phase offset in DCT OFDM systems under non-circular transmissions: algorithms, analysis and comparisons [PDF]
, 2008 Recently, the advantages of the discrete cosine transform (DCT) based orthogonal frequency-division multiplexing (OFDM) have come to the light. We thus consider DCT- OFDM with non-circular transmission (our results cover circular transmission as well ...
Cui, Tao +3 more
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Exact Relation Between Continuous and Discrete Linear Canonical Transforms [PDF]
, 2009 —Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs.
Figen S. Oktem, Haldun M. Ozaktas
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Advances in Difference Equations, 2019 For discrete-time iterative learning control systems, the discrete Fourier transform (DFT) is a powerful technique for frequency analysis, and Toeplitz matrices are a typical tool for the system input–output transmission.
Xiaohui Li, Xiaoe Ruan
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Recovering missing slices of the discrete fourier transform using ghosts [PDF]
, 2012 The discrete Fourier transform (DFT) underpins the solution to many inverse problems commonly possessing missing or unmeasured frequency information. This incomplete coverage of the Fourier space always produces systematic artifacts called Ghosts.
Chandra, Shekhar S. +4 more
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FPS-SFT: A Multi-dimensional Sparse Fourier Transform Based on the Fourier Projection-slice Theorem
, 2017 We propose a multi-dimensional (M-D) sparse Fourier transform inspired by the idea of the Fourier projection-slice theorem, called FPS-SFT. FPS-SFT extracts samples along lines (1-dimensional slices from an M-D data cube), which are parameterized by ...
Patel, Vishal M. +2 more
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Channel Estimation and Optimal Pilot Signals for Universal Filtered Multi-Carrier (UFMC) Systems [PDF]
, 2017 We propose channel estimation algorithms and pilot signal optimization for the universal filtered multi-carrier (UFMC) system based on the comb-type pilot pattern.
He, Chang +4 more
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