Signals and systems primer with MATLAB. (2018)

• Record Type: Book
• Further Information: Note: Alexander D. Poularikas.
• Authors: Poularikas, Alexander D, 1933-
• Contents: SIGNALS AND THEIR FUNCTIONAL REPRESENTATION; Some applications involving signals; Fundamental representation of simple time signals; Signal conditioning and manipulation; Representation of signals; Appendix 1: Elementary matrix algebra; Appendix 2: Complex numbers; Appendix 1 Problems; Appendix 2 Problems; ; LINEAR CONTINUOUS-TIME SYSTEMS; Properties of systems; Modeling simple continuous systems; Solutions of first-order systems; Evaluation of integration constants: initial conditions; Block diagram representation; Convolution and correlation of continuous-time signals; Impulse response; ; DISCRETE SYSTEMS; Discrete systems and equations; Digital simulation of analog systems; Digital simulation of higher-order differential equations; Convolution of discrete-time signals; Appendix 1: Method of variation of parameters; Appendix 2: Euler's approximation for differential equations; ; PERIODIC CONTINUOUS SIGNALS AND THEIR SPECTRUMS; Complex functions; Fourier series of continuous functions; Features of periodic continuous functions; Linear systems with periodic inputs; ; NONPERIODIC SIGNALS AND THEIR FOURIER TRANSFORM; Direct and inverse Fourier transform; Properties of Fourier transforms; Some special Fourier transform pairs; Effects of truncation and Gibbs' phenomenon; Linear time-invariant filters; Appendix; ; SAMPLING OF CONTINUOUS SIGNALS; Fundamentals of sampling; The sampling theorem; ; DISCRETE-TIME TRANSFORMS; Discrete-time Fourier transform (DTFT); Summary of DTFT properties; DTFT of finite time sequences; Frequency response of linear time-invariant (LTI) discrete systems; The discrete Fourier transform (DFT); Summary of the DFT properties; Multirate digital signal processing; Appendix 1: Proofs of the DTFT properties; Appendix 2: Proofs of DFT properties; Appendix 3: Fast Fourier transform (FFT); ; LAPLACE TRANSFORM ; One-sided Laplace transform; Summary of the Laplace transform properties; Systems analysis: transfer functions of LTI systems; Inverse Laplace transform (ILT); Problem solving with Laplace transform; Frequency response of LTI systems; Pole location and the stability of LTI systems; Feedback for linear systems; Bode plots; Appendix: Proofs of Laplace transform properties; ; THE Z-TRANSFORM, DIFFERENCE EQUATIONS, AND DISCRETE SYSTEMS; 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; Appendix: Proofs of the z-transform properties; ; ANALOG FILTER DESIGN; General aspects of filters; Butterworth filter; Chebyshev low-pass filter; Phase characteristics; Frequency transformations; Analog filter design using MATLAB functions; ; FINITE IMPULSE RESPONSE (FIR) FILTERS; Properties of FIR filters; FIR filters using the Fourier series approach; FIR filters using windows; Prescribed filter specifications using a Kaiser window; MATLAB FIR filter design; ; INFINITE IMPULSE RESPONSE (IIR) FILTERS; The impulse-invariant method approximation in the time domain ; Bilinear transformation; Frequency transformation for digital filters; Recursive versus nonrecursive design; ; RANDOM VARIABLES, SEQUENCES, AND POWER SPECTRA DENSITIES; Random signals and distributions; Averages; Stationary processes; Special random signals and probability density functions; Wiener-Kintchin relations; Filtering random processes; Nonparametric spectra estimation; ; LEAST SQUARE SYSTEM DESIGN, WIENER FILTER, AND THE LMS FILTER; The least-squares technique; The mean square error; Wiener filtering examples; The least mean square (LMS) algorithm; Examples using the LMS algorithm; ; APPENDIX A: MATHEMATICAL FORMULAS; Trigonometric identities; Orthigonality; Summation of trigonometric forms; Summation formulas; Series expansions; Logarithms; Some definite integrals; ; APPENDIX B: SUGGESTIONS AND EXPLANATIONS FOR MATLAB USE; Creating a directory; Help; Save and load; MATLAB as calculator; Variable names; Complex numbers; Array indexing; Extracting and inserting numbers in arrays; Vectorization; Matrices; Produce a periodic function; Script files; Functions; Subplots; Figures; Changing the scales of the axes of a figure; Writing Greek letters; Subscripts and superscripts; Lines in plots; ; INDEX; ; Each chapter features Important Definitions and Concepts as well as Problems.
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2018
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 621.38220151; Signal processing -- Mathematics; System analysis
• Languages: English
• ISBNs: 9781351837736
• Related ISBNs: 9781420006957; 9781351829045; 9781315221847
• Notes: Note: Description based on CIP data; resource not viewed.
• 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.