Transforms and Applications Primer for Engineers with Examples and MATLAB(R) (Paperback)

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