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What is the equation – Xn=1/T∫x(t) e^jwtn called?

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in Signals and Systems by (1.2m points)
What is the equation –  Xn=1/T∫x(t) e^jwtn  called?

(a) Synthesis equation

(b) Analysis equation

(c) Frequency domain equation

(d) Discrete equation

I got this question in an international level competition.

The query is from Fourier Series in chapter Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (b) Analysis equation

For explanation: The equation –  Xn=1/T∫x(t)e^-jwtn called the analysis equation of an exponential Fourier series. It is because it is used to synthesize the Fourier series.

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