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[null,"1.","Record Nr.",null,"UNINA9911034577303321"]
[null,null,"Autore",null,"Cohen Fernand"]
[null,null,"Titolo",null,"Signals, Systems, and Transforms : Concise Coverage from Theory to Application"]
[null,null,"Pubbl/distr/stampa",null,"Newark : , : John Wiley & Sons, Incorporated, , 2025"]
[{"$nulls":4},"©2026"]
[null,null,"ISBN",null,"1-394-30087-5"]
[{"$nulls":4},"1-394-30086-7"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (227 pages)"]
[null,null,"Disciplina",null,"621.3822015152433"]
[null,null,"Soggetti",null,"Fourier analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Cover -- Title Page -- Copyright Page -- Dedication Page -- Contents -- Preface -- Acknowledgments -- List of Symbols -- Chapter 1 Signals and Systems -- 1.1 Different Types of Signals -- 1.1.1 Causal, Anticausal, and Noncausal Signals -- 1.2 Symmetry in Signals -- 1.3 Singularity Functions -- 1.3.1 Impulse Function -- 1.3.2 Step Function -- 1.3.3 Rectangular Function -- 1.3.4 Ramp Function -- 1.3.5 Triangular Function -- 1.4 Transforming a Signal -- 1.4.1 Time Transformation -- 1.4.2 Amplitude Transformation -- 1.5 Characterizing a System and System's Properties -- 1.5.1 Linearity -- 1.5.2 Time Invariance -- 1.5.3 Invertibility -- 1.5.4 Causality -- 1.5.5 Bounded-Input Bounded-Output Stability -- 1.6 Impulse Response of an LTI System -- 1.6.1 Convolution Integral and Sum -- 1.6.2 Step and Ramp Responses -- 1.7 Impulse Response of LTI, RL, or RC Circuit -- 1.8 Second-Order Systems -- 1.9 Impulse Response of Rational Systems -- 1.10 Deconvolution -- 1.11 Chapter Summary -- Problems -- Chapter 2 Fourier Series (FS) -- 2.1 Development of Fourier Series: A Historical Perspective -- 2.2 Vector and Function Spaces -- 2.2.1 Geometric Projection and Dot Product -- 2.2.2 Function Space and Dot Product -- 2.3 Sinusoidal Functions -- 2.4 Fourier Series Expansion -- 2.4.1 Existence of Fourier Series -- 2.5 Fourier Series of Certain Signals and Properties -- 2.5.1 Train of Impulse Function -- 2.5.2 Shifting Property -- 2.5.3 Derivative Property -- 2.6 Spectral Representation of Periodic Functions -- 2.7 Fourier Series for Discrete Periodic Signals -- 2.7.1 2D Discrete Periodic Signal -- 2.8 Signal and Image Compression -- 2.8.1 Lossy Compression -- 2.9 Fourier Descriptors for Boundary "]
[{"$nulls":4},"Representation -- 2.10 Chapter Summary -- Problems -- 2.A Appendix -- References -- Chapter 3 Fourier Transform -- 3.1 Development of Fourier Transform."]
[{"$nulls":4},"3.2 Fourier Transform from Fourier Series -- 3.3 Inverse Fourier Transform -- 3.3.1 Existence of Fourier Transform -- 3.4 Fourier Transform of Certain Signals -- 3.4.1 FT of an Impulse Function -- 3.4.2 FT of an Exponential Function -- 3.5 Properties of FT -- 3.5.1 Shifting Property -- 3.5.2 Derivative Property -- 3.5.3 Convolution Property -- 3.5.4 Eigenfunction Eigenvalue (EE) Property -- 3.5.5 Integral Property -- 3.5.6 Duality Property -- 3.5.7 Modulation Property -- 3.5.8 Scaling Property -- 3.6 Parseval's Theorem -- 3.7 FT for Discrete Signals (DTFT) -- 3.7.1 Inverse DTFT -- 3.7.2 Properties of DTFT -- 3.7.2.1 Shifting Property -- 3.7.2.2 Derivative Property -- 3.7.2.3 Summation Property -- 3.8 Parseval's Theorem for DTFT -- 3.9 Discrete Rational System Approximation to a Continuous Rational System -- 3.10 Phasors and FT -- 3.11 FT in Medical Imaging -- 3.11.1 Projection Theorem -- 3.11.1.1 Projection Slice Theorem -- 3.12 Chapter Summary -- Problems -- References -- Chapter 4 DFT and FFT -- 4.1 Development of Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT) -- 4.2 DFT as Samples on the DTFT -- 4.2.1 Conditions for Retrieving x(n) from y(n) -- 4.3 IDFT -- 4.4 Circular Convolution -- 4.5 FFT -- 4.5.1 Radix 2 FFT -- 4.5.2 8-FFT Using Two 4-DFTs or Four 2-DFTs -- 4.5.3 9-FFT Using Three 3-DFT Units -- 4.5.4 Radix m-FFT -- 4.5.5 Decimation in Frequency -- 4.6 Chapter Summary -- Problems -- References -- Chapter 5 Laplace Transform -- 5.1 Development of Laplace Transform (LT) -- 5.2 The LT as a Generalized FT -- 5.3 Relationship Between the FT and the LT -- 5.4 The ROC for Rational Signals -- 5.4.1 The ROC for Rational Causal Signal of Infinite duration -- 5.4.2 The ROC for Rational Anticausal Signal- of Infinite duration -- 5.4.3 ROC for Rational Noncausal Signals -- 5.5 Inverse LT (ILT) -- 5.6 Laplace Transform of Certain Signals."]
[{"$nulls":4},"5.6.1 The LT of an Impulse Function -- 5.6.2 The LT of an Exponential Function -- 5.7 Properties of the LT -- 5.7.1 Shifting Property -- 5.7.2 Derivative Property -- 5.7.3 Convolution Property -- 5.7.4 Eigenfunction Eigenvalue Property -- 5.7.5 Integral Property -- 5.7.6 Scaling Property -- 5.7.7 Complex Shift and Duality Property -- 5.7.8 Initial and Final Values -- 5.8 Rational Systems -- 5.8.1 Poles and Zeros of a Rational System -- 5.8.2 The BIBO Stable System -- 5.8.3 Step and Ramp Responses as Functions of the Impulse Response h(t) -- 5.9 Chapter Summary -- Problems -- References -- Chapter 6 Z-Transform -- 6.1 Development of Z-transform (ZT) -- 6.2 The ZT as Generalized DTFT -- 6.3 Relationship Between DTFT and ZT -- 6.4 Region of Convergence (ROC) for Rational Signals -- 6.4.1 ROC for Rational Causal Signals of Infinite Duration -- 6.4.2 ROC for Rational Anticausal Signals -- 6.4.3 ROC for Rational Noncausal Signals -- 6.5 Inverse ZT (IZT) -- 6.5.1 Cauchy's Residue Theorem for IZT -- 6.6 The ZT of Certain Signals -- 6.6.1 The ZT of a Dirac Delta Function -- 6.6.2 The ZT of an Exponent Function -- 6.7 Properties of the ZT -- 6.7.1 Shifting Property -- 6.7.2 Difference and Summation Property -- 6.7.3 Derivative Property -- 6.7.4 Convolution Property -- 6.7.5 Eigenfunction Eigenvalue Property -- 6.7.6 Scaling Property -- 6.7.7 Time Reversal -- 6.8 Initial and Final Values -- 6.9 Relationship Between LT and ZT -- 6.10 Rational Systems -- 6.10.1 Poles and Zeros of a Rational System -- 6.10.2 BIBO Stable System -- 6.10.3 Step and Ramp Responses as Functions of the Impulse Response h(n) -- 6.11 Connecting the Various FT and GFT for Analog and Discrete Signals -- 6.12 Chapter Summary -- Problems -- References -- Chapter 7 Sampler -- 7.1 Development of Digitizer â€\" The Sampler and "]
[{"$nulls":4},"Quantizer -- 7.2 Sampler and Nyquist Rate."]
[{"$nulls":4},"7.2.1 Sampling of Bandpass Signals -- 7.3 Sampling of Images -- 7.4 Nonuniform Sampling -- 7.5 Chapter Summary -- Problems -- References -- Chapter 8 Quantizer -- 8.1 Development of the Quantizer -- 8.2 Lloyd-Max Quantizer -- 8.2.1 Lloyd-Max Solution -- 8.3 Uniform Quantizer -- 8.4 Suboptimal Quantizer -- 8.5 Intuitive Quantizer -- 8.6 Compandor Quantizer -- 8.7 Dithering â€\" Reducing Quantization Distortions -- 8.8 Halftoning -- 8.9 Chapter Summary -- Problems -- References -- Chapter 9 Unitary Transforms -- 9.1 Development of Unitary Transforms -- 9.2 Unitary Transforms in Vector Spaces -- 9.3 Compactness Property -- 9.4 Optimal Transform -- 9.5 DFT as a Unitary Transform -- 9.6 DCT as a Unitary Transform -- 9.7 Singular Value Decomposition (SVD) and Unitary Transforms -- 9.8 Chapter Summary -- Problems -- References -- Chapter 10 Applications -- 10.1 Renography -- 10.2 Filter Design -- 10.2.1 Ideal Low Pass Filter -- 10.2.2 Digital Filters -- 10.3 Signal and Image Restoration -- 10.4 Chapter Summary -- Problems -- MATLAB Exercise -- Appendix A Complex Variable Calculus -- Index -- EULA."]
[null,null,null,"Sommario/riassunto","Concise, linear textbook exploring the fundamentals of signals and systems analysis using Fourier tools and generalized Fourier tools Signals, Systems, and Transforms covers the fundamentals of analyzing analog and discrete signals and systems in various domains using Fourier and generalized Fourier tools."]