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Signal Transforms. / Malozemov, Vasily N.; Masharsky, Sergey M.

Foundations of Discrete Harmonic Analysis. Birkhäuser Verlag AG, 2020. p. 15-59 (Applied and Numerical Harmonic Analysis).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Harvard

Malozemov, VN & Masharsky, SM 2020, Signal Transforms. in Foundations of Discrete Harmonic Analysis. Applied and Numerical Harmonic Analysis, Birkhäuser Verlag AG, pp. 15-59. https://doi.org/10.1007/978-3-030-47048-7_2

APA

Malozemov, V. N., & Masharsky, S. M. (2020). Signal Transforms. In Foundations of Discrete Harmonic Analysis (pp. 15-59). (Applied and Numerical Harmonic Analysis). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-030-47048-7_2

Vancouver

Malozemov VN, Masharsky SM. Signal Transforms. In Foundations of Discrete Harmonic Analysis. Birkhäuser Verlag AG. 2020. p. 15-59. (Applied and Numerical Harmonic Analysis). https://doi.org/10.1007/978-3-030-47048-7_2

Author

Malozemov, Vasily N. ; Masharsky, Sergey M. / Signal Transforms. Foundations of Discrete Harmonic Analysis. Birkhäuser Verlag AG, 2020. pp. 15-59 (Applied and Numerical Harmonic Analysis).

BibTeX

@inbook{9f8789f8af1e4dc2ae2273dbe5bbc482,
title = "Signal Transforms",
abstract = "In this chapter we consider basic transforms of signals. The centerpiece are discrete Fourier transform, cyclic convolution, and cyclic correlation. We study the properties of these transforms. As an application, we provide solutions to the problems of optimal interpolation and optimal signal–filter pair. Separate sections are devoted to ensembles of signals and to the uncertainty principle in discrete harmonic analysis.",
author = "Malozemov, {Vasily N.} and Masharsky, {Sergey M.}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-47048-7_2",
language = "English",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Birkh{\"a}user Verlag AG",
pages = "15--59",
booktitle = "Foundations of Discrete Harmonic Analysis",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Signal Transforms

AU - Malozemov, Vasily N.

AU - Masharsky, Sergey M.

N1 - Publisher Copyright: © 2020, Springer Nature Switzerland AG.

PY - 2020

Y1 - 2020

N2 - In this chapter we consider basic transforms of signals. The centerpiece are discrete Fourier transform, cyclic convolution, and cyclic correlation. We study the properties of these transforms. As an application, we provide solutions to the problems of optimal interpolation and optimal signal–filter pair. Separate sections are devoted to ensembles of signals and to the uncertainty principle in discrete harmonic analysis.

AB - In this chapter we consider basic transforms of signals. The centerpiece are discrete Fourier transform, cyclic convolution, and cyclic correlation. We study the properties of these transforms. As an application, we provide solutions to the problems of optimal interpolation and optimal signal–filter pair. Separate sections are devoted to ensembles of signals and to the uncertainty principle in discrete harmonic analysis.

UR - http://www.scopus.com/inward/record.url?scp=85087571407&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-47048-7_2

DO - 10.1007/978-3-030-47048-7_2

M3 - Chapter

AN - SCOPUS:85087571407

T3 - Applied and Numerical Harmonic Analysis

SP - 15

EP - 59

BT - Foundations of Discrete Harmonic Analysis

PB - Birkhäuser Verlag AG

ER -

ID: 97994338