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What are the properties of continuous time fourier series?

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in Signals and Systems by (1.2m points)
What are the properties of continuous time fourier series?

(a) Linearity, time shifting

(b) Linearity, time shifting, frequency shifting

(c) Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution

(d) Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution, multiplication, differentiation

I had been asked this question in final exam.

Question is from Fourier Series Properties in division Fourier Series of Signals and Systems

1 Answer

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Correct choice is (d) Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution, multiplication, differentiation

Best explanation: Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution, multiplication, differentiation are some of the properties followed by continuous time fourier series. Integration and conjugation are also followed by continuous time fourier series.

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