## The basic mixing process (cont. 2)

#### The carrier term is usually represented mathematically as:
#### and we know that for the case of a 1, 0, 1, 0, 1, 0, ... data stream, (see Example 1.1) the Fourier series expansion is:
#### The mixing process (assuming perfect hardware mixing components) simply performs a multiplication of the carrier term with each of the spectral components in the Fourier series expansion, thus the mixer output can be written as: