fourier transform of a signal

How do you calculate FFT of a signal?
Compute the Fourier transform of the zero-padded signal. n = 2^nextpow2(L); Y = fft(X,n); Compute the single-sided amplitude spectrum of the padded signal.
Because the signal length n increased from 65 to 128, the frequency resolution becomes Fs/n , which is 0.625 Hz.
What is the Fourier transform of a real signal?
First, the real Fourier transform converts a real time domain signal, , into x[n] two real frequency domain signals, & .
By using complex ReX[k] ImX[k] substitution, the frequency domain can be represented by a single complex array, .
What is the Fourier transform of an electric signal?
The Fourier transform reveals a signal's elemental periodicity by decomposing the signal into its constituent sinusoidal frequencies and identifying the magnitudes and phases of these constituent frequencies.
The word “decomposing” is crucial here.
The Fourier transform of the sampled function can be obtained from the convolution (⊗) of the Fourier transform F(f) of f(t), shown in (E), and the Fourier transform of the train of unit impulses with an interval F_s = 1/T_s, as shown in (F).

The Fourier transform is a mathematical formula that transforms a signal sampled in time or space to the same signal sampled in temporal or spatial frequency. In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components.

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