14.4 SOME BASIC PROPERTIES OF FOURIER TRANSFORMS
Signals are subjected to various operations in the time-domain in electrical circuits and systems. Some of the basic signal operations are scaling by a constant, differentiation, integration, multiplication by another signal (this is called time-domain modulation), delaying or advancing in time, etc. When a signal undergoes a time-domain operation, its Fourier transform undergoes a corresponding operation in the frequency-domain. We want to establish this correspondence through the study of properties of Fourier transforms. We cover some basic properties of Fourier transforms in this section and continue to develop more advanced properties that are relevant to circuit analysis in the later sections. ...
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