Complex

Multiplying complex signal with its own complex conjugate transposed copy? [closed]

Multiplying complex signal with its own complex conjugate transposed copy? [closed]
  1. What happens when you multiply a complex number with its conjugate?
  2. What is complex conjugate of FFT?

What happens when you multiply a complex number with its conjugate?

The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number - it has no imaginary part. This always happens when a complex number is multiplied by its conjugate - the result is real number.

What is complex conjugate of FFT?

The complex conjugate of FFT(A) results from negating the imaginary part of FFT(A). The values of the elements in the power spectrum array are proportional to the magnitude squared of each frequency component making up the time-domain signal.

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