matlab complex number fft
Y = fft( X ) computes the discrete Fourier transform (DFT) of X using a fast Fourier transform (FFT) algorithm.
Y is the same size as X .
If X is a vector, then fft(X) returns the Fourier transform of the vector.
How to write a complex number in MATLAB?
You can use i to enter complex numbers.
You also can use the character j as the imaginary unit.
To create a complex number without using i and j , use the complex function. z = a + b i returns a complex numerical constant, z .
Can MATLAB handle complex numbers?
In MATLAB®, i and j represent the basic imaginary unit.
You can use them to create complex numbers such as 2i+5 .
You can also determine the real and imaginary parts of complex numbers and compute other common values such as phase and angle.
What is the FFT for complex numbers?
The FFT provides you with amplitude and phase.
The amplitude is encoded as the magnitude of the complex number ( sqrt(x^2+y^2) ) while the phase is encoded as the angle ( atan2(y,x) ).
To have a strictly real result from the FFT, the incoming signal must have even symmetry (i.e. x[n]=conj(x[N-n]) ).
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In Matlab the expression fft(x) computes the finite Fourier transform of any vector x The computation is fast if the integer n = length(x) is the product of powers of The finite, or discrete, Fourier transform of a complex vector y with n elements is |
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the values of the Fourier transform are complex, meaning they have real and imaginary MATLAB has three related functions that compute the inverse DFT: 0 ifft 1 ifft2 In the formulae, D0 is a specified nonnegative number D(u,v) is the |
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26 sept 2007 · For example 10 + 20i Thus in Matlab the length of the transformed signal remains the same, except it now contains complex numbers Also notice |
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