Howtosignalprocessing
- What are the necessary conditions or properties of a function which can be considered for Fourier analysis?
- What are the properties of Fourier transform?
- How many times must we apply the Fourier transform to get our original function?
- What is phase angle in Fourier transform?
What are the necessary conditions or properties of a function which can be considered for Fourier analysis?
Condition for Existence of Fourier Transform
The function x(t) has a finite number of maxima and minima in every finite interval of time. The function x(t) has a finite number of discontinuities in every finite interval of time. Also, each of these discontinuities must be finite.
What are the properties of Fourier transform?
The important properties of Fourier transform are duality, linear transform, modulation property, and Parseval's theorem.
How many times must we apply the Fourier transform to get our original function?
In it, he says that if you take the Fourier transform of a function 4 times, you get back the original function, i.e. FFFFg(x)=g(x).
What is phase angle in Fourier transform?
Figure 4: The amplitude and phase angle of a sine wave at a particular frequency. The norm of the amplitude, is called the Fourier spectrum of f, and the exponent is called the phase angle.
