Transforms and Applications Primer for Engineers With MATLAB

Transforms and Applications Primer for Engineers with Examples and MATLAB® is required reading for engineering and science students, professionals, and anyone working on problems involving transforms. This invaluable primer contains the most essential integral transforms that both practicing engineers and students need to understand. It provides a large number of examples to explain the use of transforms in different areas, including circuit analysis, differential equations, signals and systems, and mechanical vibrations.
Includes an appendix with suggestions and explanations to help you optimize your use of MATLAB
Laplace and Fourier transforms are by far the most widely used and most useful of all integral transforms, so they are given a more extensive treatment in this book, compared to other texts that include them. Offering numerous MATLAB functions created by the author, this comprehensive book contains several appendices to complement the main subjects. Perhaps the most important feature is the extensive tables of transforms, which are provided to supplement the learning process. This book presents advanced material in a format that makes it easier to understand, further enhancing its immense value as a teaching tool for engineers and research scientists in academia and industry, as well as students in science and engineering.

Alexander D. Poularikas received his Ph.D. from the University of Arkansas, Fayetteville, and became a professor at the University of Rhode Island, Kingston. He became the chairman of the engineering department at the University of Denver, Colorado, and then became the chairman of the electrical and computer engineering department at the University of Alabama in Huntsville. Dr. Poularikas has authored seven books and has edited two. He has served as the editor-in-chief of the Signal Processing series (1993–1997) with Artech House, and is now the edito- in-chief of the Electrical Engineering and Applied Signal Processing series as well as the Engineering and Science Primer series (1998 to present) with Taylor & Francis. He was a Fulbright scholar, is a lifelong senior member of the IEEE, and is a member of Tau Beta Pi, Sigma Nu, and Sigma Pi. In 1990 and in 1996, he received the Outstanding Educators Award of the IEEE, Huntsville Section. He is now a professor emeritus at the University of Alabama in Huntsville.

Signals and SystemsSignalsCircuit Elements and EquationLinear Mechanical and Rotational Mechanical ElementsDiscrete Equations and SystemsDigital Simulation of Analog SystemsConvolution of Analog SignalsConvolution of Discrete SignalsFourier SeriesFourier Series in a Complex Exponential FormFourier Series in Trigonometric FormWaveform SymmetriesSome Additional Features of Periodic Continuous FunctionsFourier TransformsOther Forms of Fourier TransformFourier Transform ExamplesFourier Transform PropertiesExamples on Fourier PropertiesFT Examples of Singular FunctionsDuration of a Signal and the Uncertainty PrincipleApplications to Linear-Time Invariant SystemsApplications to Communication SignalsSignals, Noise, and CorrelationAverage Power Spectra, Random Signals, Input–Output RelationsFT in Probability TheoryRelatives to the Fourier TransformInfinite Fourier Sine TransformInfinite Fourier Cosine TransformApplications to Boundary-Value ProblemsFinite Sine Fourier Transform and Finite Cosine Fourier TransformTwo-Dimensional Fourier TransformSampling of Continuous SignalsFundamentals of SamplingThe Sampling TheoremDiscrete-Time TransformsDiscrete-Time Fourier TransformSummary of DTFT PropertiesDTFT of Finite Time SequencesFrequency Response of LTI Discrete SystemsDiscrete Fourier TransformSummary of DFT PropertiesMultirate Digital Signal Processing and SpectraAppendix

Proofs of DTFT PropertiesProofs of DFT PropertiesFast Fourier TransformDecimation in Time Procedure
Laplace TransformOne-Sided Laplace TransformSummary of the Laplace Transform PropertiesSystems Analysis: Transfer Functions of LTI SystemsInverse Laplace TransformProblem Solving with Laplace Transform Frequency Response of LTI SystemsPole Location and the Stability of LTI SystemsFeedback for Linear SystemsBode PlotsInversion IntegralComplex Integration and the Bilateral Laplace TransformState Space and State EquationsThe z-TransformThe z-TransformConvergence of the z-TransformProperties of the z-Transformz-Transform PairsInverse z-TransformTransfer FunctionFrequency Response of First-Order Discrete SystemsFrequency Response of Higher Order Digital Systemsz-Transform Solution of First-Order Difference EquationsHigher Order Difference EquationsLTI Discrete-Time Dynamical Systemsz-Transform and Random ProcessesRelationship between the Laplace and z-TransformsRelationship to the Fourier TransformAppendixHilbert TransformsDefinitionHilbert Transforms, Properties and the Analytic SignalHilbert Transform Properties and Hilbert PairsAppendicesIndex