I am sorry I probably can say nothing on the "detailed question",
but let me comment on the "basic" one.

I spent some time on the [book][1] 

Fundamentals of Wireless Communication

David Tse and Pramod Viswanath

Here is [link to pdf][2] with lectures by D. Tse  based on it. 


The book is intended for wireless signal processing, with some examples related to GSM, CDMA.
 It covers basic ideas: the transmission chain, fading channel; Shannon's channel's capacity theory. Advanced topics like MIMO.

I think it is quite good for mathematician learning something about wireless communication.

One of the authors - D. Tse is leading expert in this field and his approach is quite mathematical, 

see e.g. [paper][3] 

L. Zheng and D. Tse, ``Communicating on the Grassmann Manifold: A Geometric Approach to the Non-coherent Multiple Antenna Channel'', IEEE Transactions on Information Theory, vol. 48(2), February 2002, pp. 359-383.  

The geometry of Grassmann manifold appears to be related with capacity of MIMO channels.


  [1]: http://www.amazon.com/gp/aw/d/0521845270
  [2]: http://www.eecs.berkeley.edu/~dtse/taiwan_course.pdf
  [3]: http://www.eecs.berkeley.edu/~dtse/grassmann.pdf