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- W2517987318 abstract "In this thesis we study the capacity of Gaussian fading channels with memory where neither transmitter nor receiver has access to the realization of the fading process, though both are fully cognizant of the fading laws. The emphasis is on the high signal-to-noise ratio (SNR) regime. For regular fading processes, i.e., the “present” fading cannot be predicted precisely from its “past”, we derive an upper bound on the fading number of multiple-input single-output (MISO) fading channels, where the fading number is the second-order term in the high SNR expansion of capacity. We show that this bound is tight (i.e., it coincides with a lower bound) if the channels are uncorrelated and the fading process is either zero-mean or its spectral density matrix contains identical entries. In the former case, the fading number can be achieved by transmitting from only one antenna, i.e., the one that yields the smallest prediction error in predicting the “present” fading from its “past”. In the latter case, the fading number can be achieved by beam forming. For non-regular fading processes, i.e., the “present” fading can be predicted precisely from its “past”, we derive upper bounds on the capacity of MISO and multiple-input multiple-output (MIMO) fading channels. For cases where the channels are uncorrelated the bound on the MISO capacity is tight and we provide an expression for the pre-log, i.e., the limiting ratio of the capacity to the logarithm of the SNR. Moreover, we show that this pre-log can be achieved by transmitting from only one antenna, i.e., the one that yields the smallest prediction error in predicting the “present” fading from its “past”. In addition, we present an improved lower bound on the capacity of single-input single-output (SISO) fading channels if channel capacity only grows double-logarithmically in the SNR. This allows for an expression of the pre-log-log, i.e., the limiting ratio of the capacity to the logarithm of the logarithm of the SNR." @default.
- W2517987318 created "2016-09-16" @default.
- W2517987318 creator A5002781146 @default.
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- W2517987318 date "2004-01-01" @default.
- W2517987318 modified "2023-09-27" @default.
- W2517987318 title "On the Asymptotic Capacity of Multiple-Input Single-Output Fading Channels with Memory" @default.
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