Question

Choose the condition from below that is not a part of Dirichlet’s conditions?

(a) If it is continuous then there are a finite number of discontinuities in the period T1

(b) It has a finite average value over the period T

(c) It has a finite number of positive and negative maxima in the period T

(d) It is a periodic signal

This question was addressed to me in unit test.

The doubt is from Fourier Series topic in portion Fourier Series of Signals and Systems

Answer 1

Correct answer is (d) It is a periodic signal

To explain: Even if the Fourier series demands periodicity as the major necessity for its formation still it is not a part of Dirichlet’s condition. It is the basic necessity for Fourier series.