IFFT of a complex, conjugate-symmetric transfer function - Value at Nyquist frequency

1. Why is ifft symmetric?
2. What does an Ifft do?
3. What is complex conjugate symmetry?
4. What does it mean to be conjugate symmetric?

Why is ifft symmetric?

The symmetric flag when performing the ifft assumes that your frequency domain signal is conjugate symmetric or Hermitian. A function is conjugate symmetric when you reflect the signal across the y -axis and it is equal to its complex conjugate.

What does an Ifft do?

IFFT (Inverse FFT) converts a signal from the frequency domain to the time domain. The FFT of a non-periodic signal will cause the resulting frequency spectrum to suffer from leakage.

What is complex conjugate symmetry?

A complex sinusoid consists of one frequency . A real sinusoid consists of two frequencies and . Every real signal, therefore, consists of an equal contribution of positive and negative frequency components.

What does it mean to be conjugate symmetric?

Conjugate symmetric means. f(−x)=f∗(x) i.e. the sign of the imaginary part is opposite when x<0. The FFT of a real signal is conjugate symmetric. One half of the spectrum is the positive frequencies, and the other half is the negative.