Digital Signal Processing (DSP)
I developed this specific algorithm for one of my projects. Similar to "Goertzel's Algorithm", it should be used to compute the DFT of a small, limited number of frequencies rather than the whole spectra.
The principle described provides an easy way to design an arbitrary digital waveform generator that can be used up to very high frequencies with comparably low noise generation. For certain applications, it provides a good alternative to the standard DDS-approach.
Note: The abstract is currently only available in German.
"Number" is an entertaining by-product of one of my DSP-projects. It was written in MS-EXCEL VBA (I've yet to find the time to transfer it into a more modern programming language). The underlying idea is to generate what is known as a "Magic Square" based on variations of a single numerical sequence. In DSP-language, the result of those variations is a multitude of different spectra, all having the same power.
Once the algorithm has been unveiled, filling the square becomes very easy. Have fun!