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What is the equation – X(t)=∑Xne^jnwt called?

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in Signals and Systems by (1.2m points)
What is the equation –  X(t)=∑Xne^jnwt called?

(a) Synthesis equation

(b) Analysis equation

(c) Frequency domain equation

(d) Discrete equation

This question was addressed to me by my school teacher while I was bunking the class.

This interesting question is from Fourier Series topic in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Right choice is (a) Synthesis equation

Easy explanation: The equation –  X(t) = ∑Xne^jnwt called the synthesis equation of an exponential Fourier series. It is because it is used to synthesize the Fourier series.

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