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Fast Fourier Transforms (FFT) (G.1.2...)
Low PAPR FBMC
Na D., Choi K. IEEE Transactions on Wireless Communications 17(1): 182-193, 2018. Type: Article
Peak to average power ratio (PAPR) is an issue in signaling schemes that has gotten more complicated in multicarrier systems. High PAPR not only increases the out-of-band (OOB) radiation, but also requires a digital-to-analog converter (DAC) and a...
Sep 25 2018
Music through Fourier space: discrete Fourier transform in music theory
Amiot E., Springer International Publishing, New York, NY, 2016. 206 pp. Type: Book (978-3-319455-80-8)
Discrete Fourier transform (DFT) has emerged as a powerful and popular tool in mathematical music theory. Amiot’s nice book gives the state of the art in the usage of DFT of abstract musical structures such as rhythms, scales, chords, pitch ...
May 25 2017
Discrete fourier and wavelet transforms: an introduction through linear algebra with applications to signal processing
Goodman R., World Scientific Publishing Co, Inc., River Edge, NJ, 2016. 300 pp. Type: Book
Fourier and wavelet transforms have proven to be indispensable tools in signal processing. They are taught in many courses, both at the graduate and undergraduate levels. When deciding how to teach these topics, the lecturer can choose from a numb...
Aug 29 2016
The BOSS is concerned with time series classification in the presence of noise
Schäfer P. Data Mining and Knowledge Discovery 29(6): 1505-1530, 2015. Type: Article
“The raw time series data may be ... noisy, or are composed of [higher-level] substructures,” or high dimensionality. Its classification complexity increases due to “extraneous, erroneous, and unaligned data of variable length....
Mar 30 2016
Digital Fourier analysis: advanced techniques
Kido K., Springer International Publishing, New York, NY, 2014. 178 pp. Type: Book (978-1-493911-26-4)
If there was ever a “gift that keeps on giving” to the most esoteric of mathematico-physical theories or to the most pragmatic of engineering practice, it is Fourier analysis. (On my bucket list is someday to discover, in principle fro...
Dec 8 2015
Parameter selection and numerical approximation properties of Fourier extensions from fixed data
Adcock B., Ruan J. Journal of Computational Physics 273453-471, 2014. Type: Article
The term “Fourier extensions” refers to a technique for approximating nonsmooth or nonperiodic functions using Fourier modes. Fourier series can approximate a smooth and periodic function very well with spectral convergence. With the C...
Jan 13 2015
Digital Fourier analysis: fundamentals
Kido K., Springer Publishing Company, Incorporated, New York, NY, 2014. 203 pp. Type: Book (978-1-461492-59-7)
I think it’s fair to say that underlying any established branch of mathematics--algebra, analysis, number theory, set theory, logic--there is a theory of limitless depth. Fourier analysis--an infinite subset of an infinite set...
Jan 9 2015
hp-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows: Part I: multilevel analysis
Van Der Vegt J., Rhebergen S. Journal of Computational Physics 231(22): 7537-7563, 2012. Type: Article
Understanding multidimensional decaying turbulent flows, advection-dominated flows, and convection-diffusion models requires the integration of accurate numerical structures, techniques, and simulated solutions. The choice of mathematical techniqu...
Feb 11 2013
Speech enhancement in the STFT domain
Benesty J., Chen J., Habets E., Springer Publishing Company, Incorporated, New York, NY, 2011. 116 pp. Type: Book (978-3-642232-49-7)
Larger than an exhaustive IEEE tutorial paper, but smaller than an actual book, this “brief” focuses on frequency domain processing for speech enhancement. The style is that of a theorem (or rather statement) proof. Its conciseness and...
May 21 2012
A first course in numerical methods
Ascher U., Greif C., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2011. 574 pp. Type: Book (978-0-898719-97-0)
Most engineering applications, in a wide range of domains, are based on mathematically founded methods and algorithms. This excellent introductory textbook covers numerical methods that are currently used to model and solve engineering problems.
Dec 29 2011
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