Question

what is difference between Fourier Series and Fourier Transform?

Answer 1

...uhm...
The Fourier series is a mathematical tool used for analyzing periodic functions by decomposing such a function into a weighted sum of much simpler sinusoidal component functions sometimes referred to as normal Fourier modes, or simply modes for short. The weights, or coefficients, of the modes, are a one-to-one mapping of the original function. Generalizations include generalized Fourier series and other expansions over orthonormal bases.

In mathematical physics, the Fourier transform of a signal x(t) can be thought of as that signal in the "frequency domain." This is similar to the basic idea of the various other Fourier transforms including the Fourier series of a periodic function.

Answer 2

do you explain it by giving example?

Answer 3

Fourier Series is used for periodic signals. It represents the signal by the discrete-time sequence of basis functions with finite and concrete amplitude and phase shift. The basis functions, according to the theory, are harmonics with the frequencies, divisible by the frequency of the signal

Answer 4

Fourier tranform is invented and adjusted for aperiodic signals with integrated absolute value and satisfaction of Diricle conditions.

Answer 5

@uzumakhi

Answer 6

so accordin to you
fourier series is for periodic functions and fourier transform is for aperiodic functions
is it right?

Answer 7

yaa

Answer 8

so when there is a continuous signal we use fourier series and when there is discrete signal we use fourier transform
is it again right?

Answer 9

yaa

Answer 10

ok thanks @mayankdevnani

Answer 11

welcome