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20240329122006.0 |
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230209s2014 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCL
|d OCLCQ
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| 020 |
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|a 9781118901694
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|a 111890169X
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|a (OCoLC)1347026287
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|a 515/.723
|q OCoLC
|2 23/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Hansen, Eric W.
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| 245 |
1 |
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|a Fourier Transforms
|h [electronic resource] :
|b Principles and Applications.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2014.
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| 300 |
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|a 1 online resource (774 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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| 505 |
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|a Intro -- FOURIER TRANSFORMS -- Contents -- Preface -- Philosophy and Distinctives -- Flow of the Book -- Suggested Use -- Acknowledgments -- 1 Review of Prerequisite Mathematics -- 1.1 Common notation -- 1.2 Vectors in space -- 1.3 Complex numbers -- 1.4 Matrix algebra -- 1.5 Mappings and functions -- 1.6 Sinusoidal functions -- 1.7 Complex exponentials -- 1.8 Geometric series -- 1.9 Results from calculus -- 1.10 Top 10 ways to avoid errors in calculations -- Problems -- 2 Vector Spaces -- 2.1 Signals and vector spaces -- 2.2 Finite-dimensional vector spaces -- 2.2.1 Norms and Metrics
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| 505 |
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|a 2.2.2 Inner Products -- 2.2.3 Orthogonal Expansion and Approximation -- 2.3 Infinite-dimensional vector spaces -- 2.3.1 Convergent Sequences -- 2.3.2 Infinite Sequences and the p Spaces -- 2.3.3 Functions and the Lp Spaces -- 2.3.4 Orthogonal Expansions in 2 and L2 -- 2.4 Operators -- 2.5 Creating orthonormal bases-the Gram-Schmidt process -- 2.6 Summary -- Problems -- 3 The Discrete Fourier Transform -- 3.1 Sinusoidal sequences -- 3.2 The Discrete Fourier transform -- 3.3 Interpreting the DFT -- 3.4 DFT properties and theorems -- 3.5 Fast Fourier transform -- 3.6 Discrete cosine transform
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| 505 |
8 |
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|a 3.7 Summary -- Problems -- 4 The Fourier Series -- 4.1 Sinusoids and physical systems -- 4.2 Definitions and interpretation -- 4.3 Convergence of the Fourier series -- 4.4 Fourier series properties and theorems -- 4.5 The heat equation -- 4.6 The vibrating string -- 4.7 Antenna arrays -- 4.8 Computing the Fourier series -- 4.9 Discrete time Fourier transform -- 4.9.1 Convergence Properties -- 4.9.2 Theorems -- 4.9.3 Discrete-time Systems -- 4.9.4 Computing the DTFT -- 4.10 Summary -- Problems -- 5 The Fourier Transform -- 5.1 From Fourier series to Fourier transform
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|a 5.2 Basic properties and some examples -- 5.3 Fourier transform theorems -- 5.4 Interpreting the Fourier transform -- 5.5 Convolution -- 5.5.1 Definition and basic properties -- 5.5.2 Convolution and Linear Systems -- 5.5.3 Correlation -- 5.6 More about the Fourier transform -- 5.6.1 Fourier inversion in L1 -- 5.6.2 Fourier Transform in L2 -- 5.6.3 More about convolution -- 5.7 Time-bandwidth relationships -- 5.8 Computing the Fourier transform -- 5.9 Time-frequency transforms -- 5.10 Summary -- Problems -- 6 Generalized Functions -- 6.1 Impulsive signals and spectra
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| 505 |
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|a 6.2 The delta function in a nutshell -- 6.3 Generalized functions -- 6.3.1 Functions and Generalized Functions -- 6.3.2 Generalized Functions as Sequences of Functions -- 6.3.3 Calculus of Generalized Functions -- 6.4 Generalized Fourier transform -- 6.4.1 Definition -- 6.4.2 Fourier Theorems -- 6.5 Sampling theory and Fourier series -- 6.5.1 Fourier Series, Again -- 6.5.2 Periodic Generalized Functions -- 6.5.3 The Sampling Theorem -- 6.5.4 Discrete-time Fourier Transform -- 6.6 Unifying the Fourier family -- 6.6.1 Basis Functions and Orthogonality Relationships -- 6.6.2 Sampling and Replication
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| 500 |
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|a 6.7 Summary
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Fourier transforms (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH88QFTX8wvbjTHJGBxyMP
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Hansen, Eric W.
|t Fourier Transforms
|d Newark : John Wiley & Sons, Incorporated,c2014
|z 9781118479148
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| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104204
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104204
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| 994 |
|
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|a 92
|b IZTAP
|
