Lecture Slides for Signals and Systems (Edition 2.0)
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear-time invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, and partial fraction expansions.
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addition analysis applicable becomes BIBO bounded called causal characterized combination commutes complex exponential complex numbers complex sinusoids condition conjugate Consider Continued Continuous-Time convergence convolution corresponding defined denote Differentiation distributed domain DTFT energy equal equation equivalent example exists expression factor filter finite Fourier series coefficient Fourier transform frequency components frequency domain frequency response frequency spectrum frequency-domain function x fundamental given holds ideal impulse response input integer inverse known Laplace transform License limit linear LTI system magnitude means multiplication notation Note operator otherwise output Perform periodic periodic function periodic sequences plot pole practice provides rational function real constant referred relation relationship represent representation respectively response h result sampling satisfies scaling shifting shown sided signal simply Spectra stable symmetry system function system H Theorem Time-Domain unilateral variable zero