Conjugate

Conjugate symmetry signal

Conjugate symmetry signal
  1. What is conjugate symmetric signal?
  2. What is conjugation of a signal?
  3. What is conjugate in DFT?

What is conjugate symmetric signal?

Definition. A function f(a) is conjugate symmetric if f∗(-a) = f(a). Definition. A function f(a) is conjugate antisymmetric if f∗(-a) = -f(a). If f(a) is real and conjugate symmetric, it is an even function.

What is conjugation of a signal?

Signals, which satisfies the condition x(t)=x∗(−t) are called conjugate signals. If we compare both the derived equations 1 and 2, we can see that the real part is even, whereas the imaginary part is odd. This is the condition for a signal to be a conjugate type.

What is conjugate in DFT?

Theorem 6.2 (DFT conjugate symmetry) Let be a real-valued signal with samples. Then the DFT series X [ 0 ] , X [ 1 ] , … , X [ N − 1 ] has conjugate symmetry: X [ m ] = X [ N − m ] ― .

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