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# Properties of Fourier transforms

In this section we will investigate what happens when we take the Fourier transform of a (complex) sinusoid. The simplest one is "DC", the special sinusoid of frequency zero. After we derive the Fourier transform of that, we will develop some properties of Fourier transforms that allow us to apply the result to any other sinusoid.

Subsections

- Fourier transform of DC
- Shifts and phase changes
- Fourier transform of a sinusoid