Fundamentals of signals and systems: using the Web and MATLAB
For a Signals and Systems course in Engineering departments. Developed from Professor Kamen's best-selling text Introduction to Signals and Systems, this forward-looking text presents an accessible yet comprehensive analytical treatment of signals and systems and also incorporates a strong emphasis on solving problems and exploring concepts using MATLAB. A MATLAB tutorial is provided on a disk which is available for student/instructor use, and all examples in the text are developed in terms of the Student Edition of MATLAB '.
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SYSTEMS DEFINED BY DIFFERENTIAL OR DIFFERENCE
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amplitude spectrum analog approximation Ax(t bandwidth Butterworth filter closed-loop poles coefficients complex exponential complex numbers Compute the output Consider constant continuous-time signal controller convolution cutoff frequency defined denote derivative Determine difference equation discrete-time signal discrete-time signal x[n DTFT equal Example expression Fourier series Fourier transform frequency response frequency response function Gc(s H(co Hence impulse response impulse response h(t initial condition initial energy input x(t input x[n input/output difference equation input/output differential equation integral linear time-invariant continuous-time lowpass filter M-file magnitude function MATLAB MATLAB commands matrix modulation Multiplication Note output response y(t output y(t passband plotted in Figure polynomials RC circuit real number rectangular pulse root locus sampled signal Section shift shown in Figure signal x(t sinusoidal steady-state step response Suppose system given time-invariant continuous-time system transfer function H(s transform pair values vector voltage yields z-transform zero