September 2008
Beginner
834 pages
37h 13m
English
Let us consider the first question.
Expansion in terms of sinusoids is not the only expansion possible for a periodic waveform. However, this expansion turns out to be of a great utility in Circuit Analysis.
Complex exponential functions of the form est, where s is a complex number, are eigen functions of linear time-invariant circuits. This means that the total response of the circuit when vS(t) = est for all t is applied, is a scaled copy of est itself. The scaling factor will be a function of s and circuit parameters and hence it will be a complex number (this complex number is called an eigen value). We note that est has to be applied from t = –∞ for this to be true. Since the waveform is applied ...
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