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Record Nr. |
UNINA9910459967803321 |
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Autore |
Hansen Eric W (Eric William), <1954-> |
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Titolo |
Fourier transforms : principles and applications / / Eric W. Hansen |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2014 |
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©2014 |
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ISBN |
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Edizione |
[1st edition] |
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Descrizione fisica |
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1 online resource (774 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Signal processing - Mathematical models |
Image processing - Mathematical models |
Fourier analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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; 2.2.2 Inner Products |
2.2.3 Orthogonal Expansion and Approximation2.3 Infinite-dimensional vector spaces; 2.3.1 Convergent Sequences; 2.3.3 Functions and the Lp Spaces; 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; 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 series4.4 Fourier series properties and theorems; 4.5 The heat equation; 4.6 The vibrating string; 4.7 Antenna |
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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; 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 Systems5.5.3 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; 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 transform6.4.1 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; 6.7 Summary; Problems; 7 Complex Function Theory; 7.1 Complex functions and their visualization; 7.2 Differentiation; 7.3 Analytic functions; 7.4 exp z and functions derived from it; 7.5 log z and functions derived from it |
7.5.1 The Logarithm Function |
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Sommario/riassunto |
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"Fourier Analysis with Complex Variables explains transform methods and their application to electrical systems from circuits, antennas, and signal processors--ably guiding readers from vector space concepts to the Discrete Fourier Transform (DFT) and the Fourier series. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, MATLAB files, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers"-- |
"Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing"-- |
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2. |
Record Nr. |
UNINA9910453461503321 |
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Autore |
Stallones Jared |
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Titolo |
Paul Robert Hanna : a life of expanding communities / / Jared R. Stallones |
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Pubbl/distr/stampa |
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Stanford, California : , : Hoover Institution Press, , 2002 |
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ISBN |
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0-8179-2836-7 |
0-8179-2838-3 |
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Descrizione fisica |
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1 online resource (351 p.) |
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Collana |
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Hoover Institution Press publication ; ; no. 495 |
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Disciplina |
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Soggetti |
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Educators - United States |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages [319]-336) and index. |
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Nota di contenuto |
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Front Cover; Title Page; Half Title; Copyright; Dedication; Contents; Acknowledgments; Chapter 1: Introduction; Organization and Sources; The Nature of Biography; Conclusion; Chapter 2: Paul Hanna's Childhood, Youth, and Young Adulthood; Childhood; Youth; Hanna at Hamline University; Conclusion; Chapter 3: Paul Hanna at Teachers College, Columbia University; The Early Years at Teachers College; Hanna at West Winfield; Return to Teachers College; Influences on Hanna's Thought Regarding the Role of the School; The Virginia Curriculum Study; Leaving Teachers College; Conclusion |
Chapter 4: Paul Hanna at Stanford UniversityHanna and Stanford; The Teacher Early in His Career; Hanna Turns West; Hanna and His Family; The Teacher Later in His Career; Stanford Colleagues; Funding for the University; The Building America Controversy; International Education; Philanthropy; Conflicts With Stanford; Hanna's Last Years; The End; Conclusion; Chapter 5: Paul Hanna's Writing Career; The Purpose of Social Studies; The School in Its Community; Origins of Hanna's Social Studies Textbooks; Textbooks as Tools for Social Critique; The Expanding Communities Model Refined |
The International CommunityThe Last Social Studies Textbooks; A Common Curriculum to Build Community; Hanna and Mathematics Education; Spelling Instruction; The World Book Encyclopedia; |
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Conclusion; Chapter 6: Paul Hanna's Involvement in Professional Education Organizations; Hanna and the Philosophy of the Progressive Education Association; Participation in the Spring Conference; The Beginnings of the John Dewey Society; The Society for Curriculum Study; The Association for Supervision and Curriculum Development; The National Education Association; The National Council for the Social Studies |
ConclusionChapter 7: Paul Hanna and International Development Education; Beginnings; Hanna and Postwar Germany; Hanna and the Philippines; In Southeast Asia; Other International Work; The Stanford International Development Education Center; Conclusion; Chapter 8: Conclusions; Hanna's Contributions to Education; Interpreting Hanna's Political Views; Conclusion; Appendixes; Appendix A: Chronological Bibliography of Published Works by Paul R. Hanna; Appendix B: Partial List of Paul R. Hanna's Doctoral Advisees at Stanford University With Dissertation Titles, Arranged Chronologically |
Appendix C: Chronological List of Courses Taught by Paul R. Hanna at the Stanford University School of EducationWorks Cited; Index |
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Sommario/riassunto |
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Analyzing and ultimately placing in context Paul Hanna's vast contributions, this book provides a richly textured narrative of his life and his major role in twentieth-century American education and the development of modern American education. |
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