# Wave Walker DSP

## DSP Algorithms for RF Systems

Foundations of Digital Signal Processing: Complex Numbers is available Amazon now! Great for young engineers looking for a simple explanation of complex numbers.

Fourier Transform Linearity Property Derivation
January 5, 2022

The Fourier transform is linear such that

(1)

The Fourier transform of is

(2)

As the integral is a linear operator the Fourier transform of the summation can be written as the summation of two Fourier transforms,

(3)

therefore

(4)

If you liked this post please check out the List of Important Math for DSP!