14.9 ZERO-STATE RESPONSE BY FREQUENCY-DOMAIN ANALYSIS
We have seen that all practical waveforms, periodic or aperiodic, possess frequency-domain descriptions in the form of Fourier transforms. All waveforms can be synthesised from sinusoids of different frequencies by adding them up. The sinusoids that constitute a periodic waveform as well as an aperiodic waveform are periodic and start from –∞ and go to +∞ in the time-domain. All the details in an aperiodic waveform are constructed by such everlasting sinusoidal signals interfering with each other constructively and destructively at various time-intervals. Thus, an infinite number of periodic sinusoids synthesise the aperiodic nature of an aperiodic waveform.
The aperiodic nature of a waveform ...
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