Complex numbers are used extensively in DSP because they make explaining things far easier. |
You should already be away of certain mathematical sets of numbers like the Integers, the Rationals and the Reals. You should also be aware that the Rationals is a superset of the Integers and the Reals is a superset of the Integers |
The set of Complex numbers is a superset of the Reals, and each Complex number can be expressed as : |
where both a and b are numbers in the set of Reals and j is a mathematical constant such that: |
In order the remain consistent with the rest of mathematics , |