Complex signals

A complex signal consists of two real signals - one for the real and one for the imaginary part. The linear processing of a complex signal, such as filtration with a time-invariant linear filter, corresponds to applying the processing both to the real and the imaginary part of the signal.

1. What is real and complex signals?
2. Do complex signals exist?
3. What is the power of a complex signal?
4. What is complex conjugate signal?

What is real and complex signals?

A real signal at any given time takes its value in the set of real numbers, and a complex signal takes its value in the set of complex numbers.

Do complex signals exist?

Also complex signal exists in electronics, where voltage is real component and current is imaginary component of complex signal. Complex signals occur with AC current and plus inductors or capacitors in electronic circuits.

What is the power of a complex signal?

The power of a signal is the sum of the absolute squares of its time-domain samples divided by the signal length, or, equivalently, the square of its RMS level. The function bandpower allows you to estimate signal power in one step.

What is complex conjugate signal?

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.