Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC

EURASIP Journal on Wireless Communications and Networking

Table 1 Summary of theoretical Hadamard upper bound (HUB)

User(s) (K)	Constraints for $C_{o p t} (p (H); γ) = {\bar{C}}_{o p t} (p (H); γ)$	Constraints for $C_{o p t} (p (H); γ) < {\bar{C}}_{o p t} (p (H); γ)$
K = 1 (Cooperative BS scenario)	i. Ω → 0, i.e., low level of inter-cell interference to the BS of interest. ii. γ → 0, i.e., the gain inserted by HUB Δ → 0 and is given by $Δ_{0} = lim_{γ \to 0} γ E [tr (Γ_{(P, Q)})]$ .	$Ω ~ U (0, 1)$ (variable path gain among the MTs and the Bs of interest due to Uniformly distributed MTs across the cells).
K > 1 (Non-cooperative BS scenario)	By employing intra-cell TDMA, intercell Narrowband (TDMA, NB) scheme.	By employing Inter-cell Time Sharing, Wideband (ICTS, WB) scheme.