Transforms and applications primer for engineers with examples and MATLAB. (©2010)

• Record Type: Book
• Further Information: Note: Alexander D. Poularikas.
• Other Names: Poularikas, Alexander D, 1933-
• Contents: Signals and Systems; Signals; Circuit Elements and Equation; Linear Mechanical and Rotational Mechanical Elements; Discrete Equations and Systems; Digital Simulation of Analog Systems; Convolution of Analog Signals; Convolution of Discrete Signals; Fourier Series; Fourier Series in a Complex Exponential Form; Fourier Series in Trigonometric Form; Waveform Symmetries; Some Additional Features of Periodic Continuous Functions; Fourier Transforms; Other Forms of Fourier Transform; Fourier Transform Examples; Fourier Transform Properties; Examples on Fourier Properties; FT Examples of Singular Functions; Duration of a Signal and the Uncertainty Principle; Applications to Linear-Time Invariant Systems; Applications to Communication Signals; Signals, Noise, and Correlation; Average Power Spectra, Random Signals, Input–Output Relations; FT in Probability Theory; Relatives to the Fourier Transform; Infinite Fourier Sine Transform; Infinite Fourier Cosine Transform; Applications to Boundary-Value Problems; Finite Sine Fourier Transform and Finite Cosine Fourier Transform; Two-Dimensional Fourier Transform; Sampling of Continuous Signals; Fundamentals of Sampling; The Sampling Theorem; Discrete-Time Transforms; Discrete-Time Fourier Transform; Summary of DTFT Properties; DTFT of Finite Time Sequences; Frequency Response of LTI Discrete Systems; Discrete Fourier Transform; Summary of DFT Properties; Multirate Digital Signal Processing and Spectra; Appendix Proofs of DTFT Properties; Proofs of DFT Properties; Fast Fourier Transform; Decimation in Time Procedure; Laplace Transform; One-Sided Laplace Transform; Summary of the Laplace Transform Properties; Systems Analysis: Transfer Functions of LTI Systems; Inverse Laplace Transform; Problem Solving with Laplace Transform; Frequency Response of LTI Systems; Pole Location and the Stability of LTI Systems; Feedback for Linear Systems; Bode Plots; Inversion Integral; Complex Integration and the Bilateral Laplace Transform; State Space and State Equations; The z-Transform; The z-Transform; Convergence of the z-Transform; Properties of the z-Transform; z-Transform Pairs; Inverse z-Transform; Transfer Function; Frequency Response of First-Order Discrete Systems; Frequency Response of Higher Order Digital Systems; z-Transform Solution of First-Order Difference Equations; Higher Order Difference Equations; LTI Discrete-Time Dynamical Systems; z-Transform and Random Processes; Relationship between the Laplace and z-Transforms; Relationship to the Fourier Transform; Appendix; Hilbert Transforms; Definition; Hilbert Transforms, Properties and the Analytic Signal; Hilbert Transform Properties and Hilbert Pairs; Appendices; Index
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2010
• Copyright Date: 2010
• Extent: 1 online resource (various pagings), illustrations
• Subjects: 621.3822 P874; Signal processing -- Mathematics; Transformations (Mathematics); TECHNOLOGY & ENGINEERING -- Mechanical; Signal processing -- Mathematics; Transformations (Mathematics); MATLAB; Electronic books
• Languages: English
• ISBNs: 9781420089325; 1420089323
• Related ISBNs: 9781420089318; 1420089315
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.