id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1438	Hekrdla, M.	Numerically Optimized Uniformly Most Powerful Alphabets for Hierarchical-Decode-and-Forward Two-Way Relaying	2011	5	.pdf	application/pdf	3258	138	54	[9] ||sk − sm||2 + |α|2||sl − sn||2− (4) 2|α| |〈sk − sm, sl − sn〉| ≥ |α|2δ2min, for k �= m, l �= n, k ⊕ l �= m ⊕ n and ∀α ∈ C, |α| ≤ 1. 3 Design of UMP Alphabets In contrast to [9], where UMP frequency-modulation alphabets have been designed, we face a problem of general UMP alphabet design with a natural unit mean symbol energy constraint, ε̄ = 1 Md Md−1∑ i=0 ||si||2. In contrast to Rayleigh fading, it is prefer- able to use UMP alphabets even at the price of lower δ2min in the Rician fading channel (here the Rician factor K = 10dB).	cache/ap-1438.pdf	txt/ap-1438.txt