Linear Systems: Time Domain and Transform AnalysisThis easily accessible text combines mathematical precision, technical detail, and sound pedagogy to give complete coverage of linear systems. Its parallel discussion of continuous-time and discrete-time systems reflects a modern approach to these topics while capitalizing on their conceptual similarities. Covers of state variables, paying particular attention to applications in control theory; sections on the Fast Fourier Transform and its applications, introducing readers to modern techniques; and discussions of correlation integrals and summations as well as two-sided transforms which lead to applications of systems with noise input. |
Contents
Summary | 31 |
Summary | 91 |
3 Linear Timeinvariant Systems with Random Inputs | 96 |
Copyright | |
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Other editions - View all
Linear Systems: Time Domain and Transform Analysis Michael F. O'Flynn,Gene M. Moriarity No preview available - 1986 |
Common terms and phrases
A₁ A₂ Assume autocorrelation function B₁ block diagram C₁ C₂ causal Chapter circuit complex consider correlation integrals cross-correlation defined delta function Determine deterministic difference equation differential equation discrete Fourier transform discrete functions discrete system Drill Set eigenvalues energy Evaluate EXAMPLE exponential Fourier series F(jw F₁(s F₁(z finite Fourier series Fourier transform frequency given Hann window impulse response initial conditions inverse transform Laurent series linear system LTIC system matrix noise waveform observability obtain output P₁ P₂ partial fractions periodic plotted in Figure power spectral density problem properties pulse response h(n random process Re(s region of convergence residue sequence shown in Figure side-lobes signal Solution solve summation system function theorem theory time-domain transfer function tu(t two-sided Laplace transform two-sided Z transform variable window Z transform zero-state