0
10kviews
Obtain the Fourier transform of a sine wave having frequency of f0 and peak amplitude of unity. Also plot its frequency spectrum?
1 Answer
0
927views

enter image description here

  • Express the signal x (t) as,

    x (t) = sin(2πf0t)

    Using Euler’s identity express x (t) as follows:

enter image description here

We know that,

enter image description here

Hence equation (1) can be written as follows:

enter image description here

  • The term δ(ff0t) is a delta function in the frequency domain which is shifted right by frequency “f0” .Its amplitude is +1/2 and the term δ(f+f0t) represents a delta function which is shifted left by frequency “f0”.Its amplitude is -1/2.

enter image description here

Please log in to add an answer.