Signals and Systems: Continuos and Discrete
A market leader in previous editions, this book continues to offer a complete survey of continuous and discrete linear systems. It utilizes a systems approach to solving practical engineering problems, rather than using the framework of traditional circuit theory. Numerous examples from circuit theory appear throughout, however, to illustrate the various systems techniques introduced. The Fourth Edition has been thoroughly updated to effectively integrate the use of computers and to accurately reflect the latest theoretical advances.
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Appendix A Systematic Procedures
System Modeling and Analysis in the Time
The Fourier Series
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amplitude amplitude and phase amplitude response amplitude spectrum analog filter analysis applied approximation assumed BIBO stable bilinear z-transform block diagram capacitor causal causal filter Chapter consider continuous-time convergence convolution defined derived Determine difference equation differential equation digital filter discrete-time system example exponential Fourier series finite Fourier series Fourier transform frequency response given h(nT illustrated in Figure impulse response inductor initial conditions input inverse Laplace transform linear system low-pass magnitude matrix multiplying noncausal obtain operational amplifier partial-fraction expansion periodic signal phase responses phasor plot poles polynomial Problem pulse transfer function quantizing RC circuit reconstruction filter result rotating phasor s-plane sample values sampled signal sampling frequency Section shown in Figure signal x(t single-sided sinusoidal solution square wave steady-state superposition techniques theorem tion transform pair unit impulse unit pulse response unit step variable voltage waveform write x(nT y(nT yields z-transform zero