Functional Electromagnetism
summary
Builds a working Morse-code transmitter in GNU Radio Companion sending over a HackRF One and received on a cheap DVB‑T dongle and handheld radio, so the signal is actually heard. Uses five blocks: source (Morse), amplifier (reduces amplitude by half), narrowband FM modulator, frequency-domain filter, and sink. Shows composition of flow-graph blocks, models amplifiers as functors between signal categories, and treats time↔frequency conversion via the Fourier transform as a natural transformation.
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chapters (13)
- 0:00Introduction
- 1:15Visualizing Categories
- 4:25Radio Overview
- 9:32Blocks and Signals
- 10:20Composition
- 13:27Functors
- 16:00Functor
- 18:13Amplifier
- 20:55Key Takeaway
- 21:21Natural Transformations
- 24:31Frequency Domain
- 25:41Digital Filter
- 29:01Conclusion
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