Question

What is the first Dirichlet’s condition?

(a) Over any period, signal x(t) must be integrable

(b) Multiplication of the signals must be continuous

(c) x(t) should be continuous only

(d) A signal can be integrable except break points

I had been asked this question during an online interview.

Question is from Dirichlet’s Conditions in division Fourier Series of Signals and Systems

Answer 1

The correct answer is (a) Over any period, signal x(t) must be integrable

The explanation is: In the case of Dirichlet’s conditions, the first property leads to the integration of signal. It states that over any period, signal x(t) must be integrable.

That is ∫|x(t)|dt<∞.