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In this paper, we show that there exists an arbitrary number of powerallocation schemes that achieve capacity in systems operating in parallelchannels comprised of single-input multiple-output (SIMO) Nakagami-m fadingsubchannels when the number of degrees of freedom L (e.g., the number ofreceive antennas) tends to infinity. Statistical waterfilling -- i.e.,waterfilling using channel statistics rather than instantaneous channelknowledge -- is one such scheme. We further prove that the convergence ofstatistical waterfilling to the optimal power loading scheme is at least O(1/(Llog(L))), whereas convergence of other schemes is at worst O(1/log(L)). Tovalidate and demonstrate the practical use of our findings, we evaluate themutual information of example SIMO parallel channels using simulations as wellas new measured ultrawideband channel data.

Power Loading in Parallel Diversity Channels Based on Statistical Channel Information