categories: Category theory for telecommunication engineers

[Christophe Favergeon <cfavergeon@free.fr>]

Hello,

Some days ago, I sent a post to the newsgroups sci.math.research and 
sci.physics.research to ask for information related to the use of 
category theory for telecommunication engineers.

I have been kindly advised to repost the question here.

So, here follow a copy of my original post.

I thank you in advance if you can help.

Regards,
Christophe Favergeon

----

Some years ago, I had the good idea to start reading the 
sci.math.research and the sci.physics.research newsgroups. It allowed me 
to learn many interesting things and I fell in love with Category theory.

I progressively became convinced that Category theory may also be useful 
to telecommunication engineers (which is my current title) at least to 
teach new ways to look at the problems. So, I am trying to find ways to 
familiarize my coworkers (and telecom engineers in general) with 
Category theory.

I have found some examples of use in software engineering, in hardware 
design, in signal processing (coalgebra for streams). Although I find 
the examples very interesting, they will probably totally useless to 
convince a telecom engineer (I am talking of a personal experience : my 
coworker are generally not very receptive to abstract maths. I hope it 
is not a general trend among telecom engineers).

So, I am asking readers of these newsgroups if they have knowledge of 
some works related to the use of Category theory in telecom.

I am interested in applications to : electromagnetism, software and 
hardware design, filtering theory, coding theory and digital 
modulation... Since I already knows some examples in software and 
hardware design, I would prefer examples, references and ideas in the 
other domains.
(For electromagnetism it could either be about antennas or just 
electrical networks).