Complex

Mean of the product of a signal with its conjugate

Mean of the product of a signal with its conjugate
  1. What does conjugate of a signal mean?
  2. What is the result of multiplying a complex number by its conjugate?
  3. What is the meaning of conjugate of a complex number?

What does conjugate of a signal mean?

Signals, which satisfies the condition x(t)=x∗(−t) are called conjugate signals.

What is the result of multiplying a complex number by 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 the meaning of conjugate of a complex number?

A conjugate of a complex number is another complex number which has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign. If we multiply a complex number with its conjugate, we get a real number.

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