tags: Galois

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Galois

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digital (1), math (1), radio (1),

What About Digital Radio

I was just thinking the other day. We are moving from an analog world to a digital one. Here are some examples: type writing to word processing, cellphones, television, LPs to CDs, circuit switched to packet switched networks, voice to VOIP. So why is it that AM/FM radio is still analog?

With error correcting algorithms i think the reception of radio would be much clearer. (Error detection is not good enough, since the radio will never ask the broadcaster for a retransmit.)

Error detection and correction is based on the work of Galois [1], who invented finite fields and branch of abstract algebra. Here's a good worksheet.

  1. Did you know that Galois died at the age of 20 in a duel?