The analytic computability of the Shannon transform for a large class of random matrix channels

Computer Science – Information Theory

Scientific paper

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Submitted to the IEEE Transactions on Communications (Letters)

Scientific paper

We define a class of "algebraic" random matrix channels for which one can
generically compute the limiting Shannon transform using numerical techniques
and often enumerate the low SNR series expansion coefficients in closed form.
We describe this class, the coefficient enumeration techniques and compare
theory with simulations.

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