000 04913cam a2200457Mi 4500
001 9781351454971
003 FlBoTFG
005 20220711212134.0
006 m o d
007 cr cn|||||||||
008 170919s2017 enk o 000 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781351454971
_q(e-book ;
_qPDF)
020 _a1351454978
020 _a9781315141312
020 _a1315141310
020 _a9781351454957
020 _a1351454951
035 _a(OCoLC)1004350753
035 _a(OCoLC-P)1004350753
050 4 _aTK5102.9
_bK757 2017
082 0 4 _a621.3822015118
100 1 _aKrishna, Hari,
_eauthor.
_92136
245 1 0 _aDigital Signal Processing Algorithms :
_bNumber Theory, Convolution, Fast Fourier Transforms, and Applications /
_cHari Krishna.
250 _aFirst edition.
264 1 _aLondon :
_bTaylor and Francis,
_c2017.
300 _a1 online resource :
_btext file, PDF
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
520 2 _a"Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing."--Provided by publisher.
505 0 _aChapter 1 Introduction -- part I Computational Number Theory -- Scalar and Polynomial Algebra -- chapter Thoughts on Part I -- chapter 2 Computational Number Theory -- chapter 3 Polynomial Algebra -- chapter 4 Theoretical Aspects of the Discrete Fourier Transform and Convolution -- chapter 5 Cyclotomic Polynomial Factorization and Associated Fields -- chapter 6 Cyclotomic Polynomial Factorization In Finite Fields -- chapter 7 Finite Integer Rings: Polynomial Algebra and Cyclotomie Factorization -- part II Convolution Algorithms -- chapter Thoughts on Part II -- chapter 8 Fast Algorithms for Acyclic Convolution -- chapter 9 Fast One-Dimensional Cyclic Convolution Algorithms -- chapter 10 Two- and Higher-Dimensional Cyclic Convolution Algorithms -- chapter 11 Validity of Fast Algorithms Over Different Number Systems -- chapter 12 Fault Tolerance for Integer Sequences -- part III Fast Fourier Transform (FFT) Algorithms -- chapter Thoughts on Part III -- chapter 13 Fast Fourier Transform: One Dimensional Data Sequences -- chapter 14 Fast Fourier Transforms: Multi-Dimensional Data Sequences -- part IV Recent Results on Algorithms in Finite Integer Rings -- chapter Thoughts on Part IV -- chapter Paper one A Number Theoretic Approach to Fast Algorithms for Two-Dimensional Digital Signal Processing in Finite Integer Rings -- chapter Paper two On Fast Algorithms for One Dimensional Digital Signal Processing in Finite Integer and Complex Integer Rings -- chapter Paper three Cyclotomic Polynomial Factorization in Finite Integer Rings with Applications to Digital Signal Processing -- chapter Paper four Error Control Techniques for Data Sequences Defined in Finite Integer Rings.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aSignal processing
_xDigital techniques
_xMathematics.
_97229
650 0 _aAlgorithms.
_93390
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781351454971
_zView this book online, both on- and off-campus (please use Desktop Anywhere for off-campus access)
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781315141312
_zClick here to view.
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
938 _aTaylor & Francis
_bTAFR
_n9781315141312
942 _cEBK
999 _c70466
_d70466