Fourier Transform Units

If you take the Fourier transform of x(t) to get X(jw) , then the units of X(jw) are C*sec or C/Hz (according to the Fourier transform integral). If you use (abs(X(jw)))^2 , then the units are C^2*sec^2=C^2*sec/Hz .

1. What are the units of the Fourier amplitude?
2. What is FFT measurement?
3. What is Fourier transform formula?
4. What is FFT vs FT?

What are the units of the Fourier amplitude?

If you have access to the sensor calibration curve to convert units, the FFT amplitude should be in Teslas per second (T/s), as you look at a derivative. If you look at a power density spectrum (squared), then the units above should be squared as well (mV2 or T2/s2).

What is FFT measurement?

The "Fast Fourier Transform" (FFT) is an important measurement method in the science of audio and acoustics measurement. It converts a signal into individual spectral components and thereby provides frequency information about the signal.

What is Fourier transform formula?

The Fourier sine transform is defined as the imaginary part of full complex Fourier transform, and it is given by: F x ( s ) [ f ( x ) ] ( k ) = I [ F x [ f ( x ) ] ( k ) ]

What is FFT vs FT?

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.