I need to know the phase conjugation is equivalent to the spectral inversion.
The math can help me more in understanding.
If I have a signal X+jY, if I converted it to X-jY, It will be spectrally inverted, although only the phase was changed.
Abdallah A. I. Ali
Actually, I was confused because I thought for a while that the conjugate occurs in the frequency domain but after a discussion with my colleague, he told me that the conjugate in the time domain which will be converted to frequency shift in the frequency domain.
In math:
Z1(t)=Z(t)e^(jw0t)... Z1(w)=Z(w-w0)
Z1*(t)=Z(t)e^(-jw0t)... Z1*(w)=Z(w+w0)
which will be a frequency inversion around w.
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