Question

Define periodic function and Fourier series.​

Answer 1

Fourier series may be used to represent periodic functions as a linear combination of sine and cosine functions. If f(t) is a periodic function of period T, then under certain conditions, its Fourier series is given by:

Fourier series of a periodic function f(t).

where n = 1 , 2 , 3 , ... and T is the period of function f(t). an and bn are called Fourier coefficients and are given by

Formula for a0.

Formula for coefficients an.

Formula for coefficients bn.

Answer 2

Answer:

Periodic function is a function that repeat its value at regular intervals . Fourier series is an expansion of periodic function . it makes us use the orthogonality relationships of the sine and cosine functions .