Difference between Fourier-Transform and FFT of rectangular pulse

1. How is FFT different from Fourier transform?
2. What is the Fourier transform of a rectangular pulse?
3. What is the Fourier transform of gate pulse?
4. What is the difference between Fourier transform and DFT?
5. What is rect in Fourier transform?
6. What is the Fourier transform of a rectangular pulse Mcq?

How is FFT different from Fourier transform?

The only difference between FT(Fourier Transform) and FFT is that FT considers a continuous signal while FFT takes a discrete signal as input. DFT converts a sequence (discrete signal) into its frequency constituents just like FT does for a continuous signal.

What is the Fourier transform of a rectangular pulse?

The Fourier transform of the rectangular pulse is real and its spectrum, a sinc function, is unbounded. This is equivalent to an upsampled pulse-train of upsampling factor L.

What is the Fourier transform of gate pulse?

Fourier transform of x(t) is X(ω) expressed as below. X ( ω ) = ∫ − ∞ ∞ ⁡ d t. G i v e n x ( t ) = 1 f o r t ϵ ( − 0.5 T , 0.5 T ) 0 o t h e r w i s e. X ( ω ) = ∫ ∞ − ∞ x ( t ) e − j ω t d t = ∫ 0.5 T − 0.5 T e − j ω t .

What is the difference between Fourier transform and DFT?

Discrete Fourier Transform (DFT) is the discrete version of the Fourier Transform (FT) that transforms a signal (or discrete sequence) from the time domain representation to its representation in the frequency domain. Whereas, Fast Fourier Transform (FFT) is any efficient algorithm for calculating the DFT.

What is rect in Fourier transform?

The rectangular function is a function that produces a rectangular-shaped pulse with a width of (where in the unit function) centered at t = 0. The rectangular function pulse also has a height of 1. Fourier transform.

What is the Fourier transform of a rectangular pulse Mcq?

The Fourier transform of a rectangular pulse is a sinc pulse.