EE 3530 Chapter : Note1
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Signals: signals are represented by functions of time t. for a signal f t , its laplace transform is de ned by. F s := l f t = z . Systems: systems process signals in a certain way. u t . For a linear time-invariant system, it can be represented by transfer function de ned by. Thus input and output have a simpler relation in s-domain: Laplace transform is a tool to analyze signals and systems. Inverse laplace transform: given f s , f t is given by f t = F s est ds where is large enough to include all pk, poles of f s , on left of straight line s = . Thus f t can be computed using residue theorem: f t = x respk f s est = x respk ff s g epkt: Example : suppose that the system is governed by.
