{"product_id":"discrete-signals-and-inverse-problems-an-introduction-for-engineers-and-scientists-hardback-9780470021873","title":"Discrete Signals and Inverse Problems; An Introduction for Engineers and Scientists (Hardback) 9780470021873","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDiscrete Signals and Inverse Problems\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction for Engineers and Scientists\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. Carlos Santamarina (Author), Dante Fratta (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470021873, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 July 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e368 pages\u003cbr\u003e23.4 x 16 x 2.4 cm, 0.635 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDiscrete Signals and Inverse Problems \u003cp\u003e\u003ci\u003eDiscrete Signals and Inverse Problems \u003c\/i\u003eexamines fundamental concepts necessary to engineers and scientists working with discrete signal processing and inverse problem solving, and places emphasis on the clear understanding of algorithms within the context of application needs. \u003c\/p\u003e\n\u003cp\u003eBased on the original ‘\u003ci\u003eIntroduction to Discrete Signals and Inverse Problems in Civil Engineering\u003c\/i\u003e’, this expanded and enriched version: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003ecombines discrete signal processing and inverse problem solving in one book\u003c\/li\u003e \u003cli\u003ecovers the most versatile tools that are needed to process engineering and scientific data\u003c\/li\u003e \u003cli\u003epresents step-by-step ‘implementation procedures’ for the most relevant algorithms\u003c\/li\u003e \u003cli\u003eprovides instructive figures, solved examples and insightful exercises\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eDiscrete Signals and Inverse Problems \u003c\/i\u003eis essential reading for experimental researchers and practicing engineers in civil, mechanical and electrical engineering, non-destructive testing and instrumentation. This book is also an excellent reference for advanced undergraduate students and graduate students in engineering and science.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eBrief Comments on Notation xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Signals, Systems, and Problems 1\u003c\/p\u003e \u003cp\u003e1.2 Signals and Signal Processing – Application Examples 3\u003c\/p\u003e \u003cp\u003e1.3 Inverse Problems – Application Examples 8\u003c\/p\u003e \u003cp\u003e1.4 History – Discrete Mathematical Representation 10\u003c\/p\u003e \u003cp\u003e1.5 Summary 12\u003c\/p\u003e \u003cp\u003eSolved Problems 12\u003c\/p\u003e \u003cp\u003eAdditional Problems 14\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematical Concepts 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Complex Numbers and Exponential Functions 17\u003c\/p\u003e \u003cp\u003e2.2 Matrix Algebra 21\u003c\/p\u003e \u003cp\u003e2.3 Derivatives – Constrained Optimization 28\u003c\/p\u003e \u003cp\u003e2.4 Summary 29\u003c\/p\u003e \u003cp\u003eFurther Reading 29\u003c\/p\u003e \u003cp\u003eSolved Problems 30\u003c\/p\u003e \u003cp\u003eAdditional Problems 33\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Signals and Systems 35\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Signals: Types and Characteristics 35\u003c\/p\u003e \u003cp\u003e3.2 Implications of Digitization – Aliasing 40\u003c\/p\u003e \u003cp\u003e3.3 Elemental Signals and Other Important Signals 45\u003c\/p\u003e \u003cp\u003e3.4 Signal Analysis with Elemental Signals 49\u003c\/p\u003e \u003cp\u003e3.5 Systems: Characteristics and Properties 53\u003c\/p\u003e \u003cp\u003e3.6 Combination of Systems 57\u003c\/p\u003e \u003cp\u003e3.7 Summary 59\u003c\/p\u003e \u003cp\u003eFurther Reading 59\u003c\/p\u003e \u003cp\u003eSolved Problems 60\u003c\/p\u003e \u003cp\u003eAdditional Problems 63\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Time Domain Analyses of Signals and Systems 65\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Signals and Noise 65\u003c\/p\u003e \u003cp\u003e4.2 Cross- and Autocorrelation: Identifying Similarities 77\u003c\/p\u003e \u003cp\u003e4.3 The Impulse Response – System Identification 85\u003c\/p\u003e \u003cp\u003e4.4 Convolution: Computing the Output Signal 89\u003c\/p\u003e \u003cp\u003e4.5 Time Domain Operations in Matrix Form 94\u003c\/p\u003e \u003cp\u003e4.6 Summary 96\u003c\/p\u003e \u003cp\u003eFurther Reading 96\u003c\/p\u003e \u003cp\u003eSolved Problems 97\u003c\/p\u003e \u003cp\u003eAdditional Problems 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Frequency Domain Analysis of Signals (Discrete Fourier Transform) 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Orthogonal Functions – Fourier Series 103\u003c\/p\u003e \u003cp\u003e5.2 Discrete Fourier Analysis and Synthesis 107\u003c\/p\u003e \u003cp\u003e5.3 Characteristics of the Discrete Fourier Transform 112\u003c\/p\u003e \u003cp\u003e5.4 Computation in Matrix Form 119\u003c\/p\u003e \u003cp\u003e5.5 Truncation, Leakage, and Windows 121\u003c\/p\u003e \u003cp\u003e5.6 Padding 123\u003c\/p\u003e \u003cp\u003e5.7 Plots 125\u003c\/p\u003e \u003cp\u003e5.8 The Two-Dimensional Discrete Fourier Transform 127\u003c\/p\u003e \u003cp\u003e5.9 Procedure for Signal Recording 128\u003c\/p\u003e \u003cp\u003e5.10 Summary 130\u003c\/p\u003e \u003cp\u003eFurther Reading and References 131\u003c\/p\u003e \u003cp\u003eSolved Problems 131\u003c\/p\u003e \u003cp\u003eAdditional Problems 134\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Frequency Domain Analysis of Systems 137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Sinusoids and Systems – Eigenfunctions 137\u003c\/p\u003e \u003cp\u003e6.2 Frequency Response 138\u003c\/p\u003e \u003cp\u003e6.3 Convolution 142\u003c\/p\u003e \u003cp\u003e6.4 Cross-Spectral and Autospectral Densities 147\u003c\/p\u003e \u003cp\u003e6.5 Filters in the Frequency Domain – Noise Control 151\u003c\/p\u003e \u003cp\u003e6.6 Determining H with Noiseless Signals (Phase Unwrapping) 156\u003c\/p\u003e \u003cp\u003e6.7 Determining H with Noisy Signals (Coherence) 160\u003c\/p\u003e \u003cp\u003e6.8 Summary 168\u003c\/p\u003e \u003cp\u003eFurther Reading and References 169\u003c\/p\u003e \u003cp\u003eSolved Problems 169\u003c\/p\u003e \u003cp\u003eAdditional Problems 172\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Time Variation and Nonlinearity 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Nonstationary Signals: Implications 175\u003c\/p\u003e \u003cp\u003e7.2 Nonstationary Signals: Instantaneous Parameters 179\u003c\/p\u003e \u003cp\u003e7.3 Nonstationary Signals: Time Windows 184\u003c\/p\u003e \u003cp\u003e7.4 Nonstationary Signals: Frequency Windows 188\u003c\/p\u003e \u003cp\u003e7.5 Nonstationary Signals: Wavelet Analysis 191\u003c\/p\u003e \u003cp\u003e7.6 Nonlinear Systems: Detecting Nonlinearity 197\u003c\/p\u003e \u003cp\u003e7.7 Nonlinear Systems: Response to Different Excitations 200\u003c\/p\u003e \u003cp\u003e7.8 Time-Varying Systems 204\u003c\/p\u003e \u003cp\u003e7.9 Summary 207\u003c\/p\u003e \u003cp\u003eFurther Reading and References 209\u003c\/p\u003e \u003cp\u003eSolved Problems 209\u003c\/p\u003e \u003cp\u003eAdditional Problems 212\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Concepts in Discrete Inverse Problems 215\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Inverse Problems – Discrete Formulation 215\u003c\/p\u003e \u003cp\u003e8.2 Linearization of Nonlinear Problems 227\u003c\/p\u003e \u003cp\u003e8.3 Data-Driven Solution – Error Norms 228\u003c\/p\u003e \u003cp\u003e8.4 Model Selection – Ockham’s Razor 234\u003c\/p\u003e \u003cp\u003e8.5 Information 238\u003c\/p\u003e \u003cp\u003e8.6 Data and Model Errors 240\u003c\/p\u003e \u003cp\u003e8.7 Nonconvex Error Surfaces 241\u003c\/p\u003e \u003cp\u003e8.8 Discussion on Inverse Problems 242\u003c\/p\u003e \u003cp\u003e8.9 Summary 243\u003c\/p\u003e \u003cp\u003eFurther Reading and References 244\u003c\/p\u003e \u003cp\u003eSolved Problems 244\u003c\/p\u003e \u003cp\u003eAdditional Problems 246\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Solution by Matrix Inversion 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Pseudoinverse 249\u003c\/p\u003e \u003cp\u003e9.2 Classification of Inverse Problems 250\u003c\/p\u003e \u003cp\u003e9.3 Least Squares Solution (LSS) 253\u003c\/p\u003e \u003cp\u003e9.4 Regularized Least Squares Solution (RLSS) 255\u003c\/p\u003e \u003cp\u003e9.5 Incorporating Additional Information 262\u003c\/p\u003e \u003cp\u003e9.6 Solution Based on Singular Value Decomposition 265\u003c\/p\u003e \u003cp\u003e9.7 Nonlinearity 267\u003c\/p\u003e \u003cp\u003e9.8 Statistical Concepts – Error Propagation 268\u003c\/p\u003e \u003cp\u003e9.9 Experimental Design for Inverse Problems 272\u003c\/p\u003e \u003cp\u003e9.10 Methodology for the Solution of Inverse Problems 274\u003c\/p\u003e \u003cp\u003e9.11 Summary 275\u003c\/p\u003e \u003cp\u003eFurther Reading 276\u003c\/p\u003e \u003cp\u003eSolved Problems 277\u003c\/p\u003e \u003cp\u003eAdditional Problems 282\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Other Inversion Methods 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Transformed Problem Representation 286\u003c\/p\u003e \u003cp\u003e10.2 Iterative Solution of System of Equations 293\u003c\/p\u003e \u003cp\u003e10.3 Solution by Successive Forward Simulations 298\u003c\/p\u003e \u003cp\u003e10.4 Techniques from the Field of Artificial Intelligence 301\u003c\/p\u003e \u003cp\u003e10.5 Summary 308\u003c\/p\u003e \u003cp\u003eFurther Reading 308\u003c\/p\u003e \u003cp\u003eSolved Problems 309\u003c\/p\u003e \u003cp\u003eAdditional Problems 312\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Strategy for Inverse Problem Solving 315\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Step 1: Analyze the Problem 315\u003c\/p\u003e \u003cp\u003e11.2 Step 2: Pay Close Attention to Experimental Design 320\u003c\/p\u003e \u003cp\u003e11.3 Step 3: Gather High-quality Data 321\u003c\/p\u003e \u003cp\u003e11.4 Step 4: Preprocess the Data 321\u003c\/p\u003e \u003cp\u003e11.5 Step 5: Select an Adequate Physical Model 327\u003c\/p\u003e \u003cp\u003e11.6 Step 6: Explore Different Inversion Methods 330\u003c\/p\u003e \u003cp\u003e11.7 Step 7: Analyze the Final Solution 338\u003c\/p\u003e \u003cp\u003e11.8 Summary 338\u003c\/p\u003e \u003cp\u003eSolved Problems 339\u003c\/p\u003e \u003cp\u003eAdditional Problems 342\u003c\/p\u003e \u003cp\u003eIndex 347\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Electronics \u0026amp; communications engineering [\u003ca title=\"See our other books on Electronics \u0026amp; communications engineering\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Electronics%20\u0026amp;%20communications%20engineering%20%5BTJ%5D%22\"\u003eTJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52256232079640,"sku":"9780470021873","price":107.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470021873.jpg?v=1781274499","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/discrete-signals-and-inverse-problems-an-introduction-for-engineers-and-scientists-hardback-9780470021873","provider":"Freshly Printed Books","version":"1.0","type":"link"}