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Complex continous time signals

functions as a basis for periodic signals as well as being able to characterize linear, time-invariant signals.
Importance:-We can express many other signals in terms of these signals,So we can break complex signal into simpler ones.

Continuous-time complex exponential and sinusoidal signals:
x(t) =C\[{e }^{ at}\] where C and a are in general complex numbers.
For examples(MATLAB) and detail study Read these :-
https://www.asyali.org/Projects/Project6.pdf
https://www.pearsonhighered.com/assets/hip/us/hip_us_pearsonhighered/samplechapter/0131988425.pdf

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