{"product_id":"fourier-transforms-9781118479148","title":"Fourier Transforms","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eFourier Transforms: Principles and Applications\u003c\/i\u003e explains transform methods and their applications to electrical systems from circuits, antennas, and signal processorsably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. \u003cul\u003e \u003cli\u003eClass-tested at Dartmouth\u003c\/li\u003e \u003cli\u003eProvides 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\u003c\/li\u003e \u003cli\u003eModular coverage of material allows for topics to be covered by preference\u003c\/li\u003e \u003cli\u003eMATLAB files and Solutions Manual available to instructors\u003c\/li\u003e \u003cli\u003eOver 300 figures, 200 worked examples, a\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“It is convenient that every chapter ends up with a summary of the results considered and a bunch of exercises. I hope the author's experience and expertise are what had inspired him to write this book of the present form, size and choice of matter. I also hope that it will find additional readers beyond the author's students.”  \u003ci\u003e(Zentralblatt MAT\u003c\/i\u003eH, 1 May 2015)\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePREFACE xi \u003cp\u003e\u003cb\u003eCHAPTER 1 REVIEW OF PREREQUISITE MATHEMATICS 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Common Notation 1\u003c\/p\u003e \u003cp\u003e1.2 Vectors in Space 3\u003c\/p\u003e \u003cp\u003e1.3 Complex Numbers 8\u003c\/p\u003e \u003cp\u003e1.4 Matrix Algebra 11\u003c\/p\u003e \u003cp\u003e1.5 Mappings and Functions 15\u003c\/p\u003e \u003cp\u003e1.6 Sinusoidal Functions 20\u003c\/p\u003e \u003cp\u003e1.7 Complex Exponentials 22\u003c\/p\u003e \u003cp\u003e1.8 Geometric Series 24\u003c\/p\u003e \u003cp\u003e1.9 Results from Calculus 25\u003c\/p\u003e \u003cp\u003e1.10 Top 10 Ways to Avoid Errors in Calculations 33\u003c\/p\u003e \u003cp\u003eProblems 33\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 2 VECTOR SPACES 36\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Signals and Vector Spaces 37\u003c\/p\u003e \u003cp\u003e2.2 Finite-dimensional Vector Spaces 39\u003c\/p\u003e \u003cp\u003e2.3 Infinite-dimensional Vector Spaces 64\u003c\/p\u003e \u003cp\u003e2.4 ⋆ Operators 86\u003c\/p\u003e \u003cp\u003e2.5 ⋆ Creating Orthonormal Bases–the Gram–Schmidt Process 94\u003c\/p\u003e \u003cp\u003e2.6 Summary 99\u003c\/p\u003e \u003cp\u003eProblems 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 3 THE DISCRETE FOURIER TRANSFORM 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Sinusoidal Sequences 109\u003c\/p\u003e \u003cp\u003e3.2 The Discrete Fourier Transform 114\u003c\/p\u003e \u003cp\u003e3.3 Interpreting the DFT 117\u003c\/p\u003e \u003cp\u003e3.4 DFT Properties and Theorems 126\u003c\/p\u003e \u003cp\u003e3.5 Fast Fourier Transform 152\u003c\/p\u003e \u003cp\u003e3.6 ⋆ Discrete Cosine Transform 156\u003c\/p\u003e \u003cp\u003e3.7 Summary 164\u003c\/p\u003e \u003cp\u003eProblems 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 4 THE FOURIER SERIES 177\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Sinusoids and Physical Systems 178\u003c\/p\u003e \u003cp\u003e4.2 Definitions and Interpretation 178\u003c\/p\u003e \u003cp\u003e4.3 Convergence of the Fourier Series 187\u003c\/p\u003e \u003cp\u003e4.4 Fourier Series Properties and Theorems 199\u003c\/p\u003e \u003cp\u003e4.5 The Heat Equation 215\u003c\/p\u003e \u003cp\u003e4.6 The Vibrating String 223\u003c\/p\u003e \u003cp\u003e4.7 Antenna Arrays 227\u003c\/p\u003e \u003cp\u003e4.8 Computing the Fourier Series 233\u003c\/p\u003e \u003cp\u003e4.9 Discrete Time Fourier Transform 238\u003c\/p\u003e \u003cp\u003e4.10 Summary 256\u003c\/p\u003e \u003cp\u003eProblems 259\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 5 THE FOURIER TRANSFORM 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 From Fourier Series to Fourier Transform 274\u003c\/p\u003e \u003cp\u003e5.2 Basic Properties and Some Examples 276\u003c\/p\u003e \u003cp\u003e5.3 Fourier Transform Theorems 281\u003c\/p\u003e \u003cp\u003e5.4 Interpreting the Fourier Transform 299\u003c\/p\u003e \u003cp\u003e5.5 Convolution 300\u003c\/p\u003e \u003cp\u003e5.6 More about the Fourier Transform 310\u003c\/p\u003e \u003cp\u003e5.7 Time–bandwidth Relationships 318\u003c\/p\u003e \u003cp\u003e5.8 Computing the Fourier Transform 322\u003c\/p\u003e \u003cp\u003e5.9 ⋆ Time–frequency Transforms 336\u003c\/p\u003e \u003cp\u003e5.10 Summary 349\u003c\/p\u003e \u003cp\u003eProblems 351\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 6 GENERALIZED FUNCTIONS 367\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Impulsive Signals and Spectra 367\u003c\/p\u003e \u003cp\u003e6.2 The Delta Function in a Nutshell 371\u003c\/p\u003e \u003cp\u003e6.3 Generalized Functions 382\u003c\/p\u003e \u003cp\u003e6.4 Generalized Fourier Transform 404\u003c\/p\u003e \u003cp\u003e6.5 Sampling Theory and Fourier Series 414\u003c\/p\u003e \u003cp\u003e6.6 Unifying the Fourier Family 429\u003c\/p\u003e \u003cp\u003e6.7 Summary 433\u003c\/p\u003e \u003cp\u003eProblems 436\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 7 COMPLEX FUNCTION THEORY 454\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Complex Functions and Their Visualization 455\u003c\/p\u003e \u003cp\u003e7.2 Differentiation 460\u003c\/p\u003e \u003cp\u003e7.3 Analytic Functions 466\u003c\/p\u003e \u003cp\u003e7.4 exp z and Functions Derived from It 470\u003c\/p\u003e \u003cp\u003e7.5 Log z and Functions Derived from It 472\u003c\/p\u003e \u003cp\u003e7.6 Summary 489\u003c\/p\u003e \u003cp\u003eProblems 490\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 8 COMPLEX INTEGRATION 494\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Line Integrals in the Plane 494\u003c\/p\u003e \u003cp\u003e8.2 The Basic Complex Integral: ∫↺ Γ zndz 497\u003c\/p\u003e \u003cp\u003e8.3 Cauchy’s Integral Theorem 502\u003c\/p\u003e \u003cp\u003e8.4 Cauchy’s Integral Formula 512\u003c\/p\u003e \u003cp\u003e8.5 Laurent Series and Residues 520\u003c\/p\u003e \u003cp\u003e8.6 Using Contour Integration to Calculate Integrals of Real Functions 531\u003c\/p\u003e \u003cp\u003e8.7 Complex Integration and the Fourier Transform 543\u003c\/p\u003e \u003cp\u003e8.8 Summary 556\u003c\/p\u003e \u003cp\u003eProblems 557\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 9 LAPLACE, Z, AND HILBERT TRANSFORMS 563\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 The Laplace Transform 563\u003c\/p\u003e \u003cp\u003e9.2 The Z Transform 607\u003c\/p\u003e \u003cp\u003e9.3 The Hilbert Transform 629\u003c\/p\u003e \u003cp\u003e9.4 Summary 652\u003c\/p\u003e \u003cp\u003eProblems 654\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 10 FOURIER TRANSFORMS IN TWO AND THREE DIMENSIONS 669\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Two-Dimensional Fourier Transform 669\u003c\/p\u003e \u003cp\u003e10.2 Fourier Transforms in Polar Coordinates 684\u003c\/p\u003e \u003cp\u003e10.3 Wave Propagation 696\u003c\/p\u003e \u003cp\u003e10.4 Image Formation and Processing 709\u003c\/p\u003e \u003cp\u003e10.5 Fourier Transform of a Lattice 722\u003c\/p\u003e \u003cp\u003e10.6 Discrete Multidimensional Fourier Transforms 731\u003c\/p\u003e \u003cp\u003e10.7 Summary 736\u003c\/p\u003e \u003cp\u003eProblems 737\u003c\/p\u003e \u003cp\u003eBIBLIOGRAPHY 743\u003c\/p\u003e \u003cp\u003eINDEX 747\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406877270359,"sku":"9781118479148","price":112.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118479148.jpg?v=1730497419","url":"https:\/\/bookcurl.com\/products\/fourier-transforms-9781118479148","provider":"Book Curl","version":"1.0","type":"link"}