Computer Explorations in Signals and Systems Using Matlab
Designed to develop greater understanding of the principles of signals and systems, these computer exercises make direct connections between theory and application. Using MATLAB, the exercises actively challenge the reader to apply mathematical concepts to real world problems. Exercises, wherever possible, have been divided into Basic, Intermediate and Advanced Problems, allowing the reader to progress from fundamental theory to real applications.
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Signals and Systems
Linear TimeInvariant Systems
Fourier Series Representation of Periodic Signals
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Advanced Problems amplitude modulation appropriately labeled plot approximation assume bandlimited bandwidth Basic Problems Butterworth filter calculate causal LTI system complex exponential Consider continuous-time Fourier transform continuous-time signal conv convolution corresponding CTFT cutoff frequency Define difference equation differential equation Digital discrete-time filter discrete-time signal discrete-time system downsampled DTFS coefficients DTFT exercise eye diagram ezplot f reqs feedback Figure finite-length Fourier series Fourier series coefficients frequency modulation frequency response magnitude frequency samples fundamental period given hi[n Hilbert transform implement impulse response input and output integer Intermediate Problems interpolation interval lowpass filter lsim LTI system M-file magnitude and phase MATLAB MATLAB vectors message signal noncausal nonzero partial fraction expansion Plot the magnitude pole-zero plot poles and zeros pulse quantized represent sampling rate sequence signal x(t signal x[n signals and systems simulate sinusoidal speech signal step response store the result symbolic expression system function values vector verify xi(t xi[n