000			01850 a2200265 4500
003			OSt
005			20250120122931.0
008			250113b xxu||||| |||| 00| 0 eng d
020			_a9783030470470
040			_cIIT Kanpur
041			_aeng
082			_a5152433 _bM298f
100			_aMalozemov, Vasily N.
245			_aFoundations of discrete harmonic analysis _cVasily N. Malozemov and Sergey M. Masharsky
260			_bBirkhauser _c2020 _aSwitzerland
300			_axv, 247p
440			_aLecture notes in applied and numerical haromonic analysis
490			_a / edited by John J. Benedetto
520			_aThis book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing. In a nutshell, DHA is used to determine the time-frequency structure of a digitized signal, providing a representation of the signal as a sum of spectral components that can then be analyzed.The main methods of DHA are discrete Fourier transform and other discrete orthogonal transforms such as the Walsh and Haar transforms. Fast algorithms are used to process signals in real time, while additional options are provided by spline harmonic analysis. These topics are carefully covered in the book. With only modest prerequisites, some of which are recalled at the beginning, a profound mathematical theory is built almost from scratch. The 150 exercises included form an integral part of the text.Based decades of teaching experience, this book provides a basis for lecture courses starting at the upper undergraduate level, and will also prove a valuable resource for mathematicians and engineers interested in digital signal
650			_aHarmonic analysis
650			_aNumerical analysis
650			_aFunctional analysis and transforms
700			_aMasharsky, Sergey M.
942			_cBK
999			_c567326 _d567326