Complex representation of harmonic time dependency facilitates multiple phase analysis based on one complex solution. Real and imaginary parts of a complex quantity

*z = z _{0}*·e

have phase angles shifted by 90 degrees, and their linear combination may be used to represent any arbitrary phase angle.

*z = z _{0}*·cos(

where *z _{0}* is a peak value of

**Related Topics**

Complex Vector.