2011/03/01 by Meik Dörpinghaus, Dörpinghaus, Meik, H. Meyr +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #Advanced Wireless Network Optimization #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research
paper · pdf · doi:10.48550/arxiv.1103.0326
openalex publication_date 2011/03/01 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
In this work, we consider a discrete-time stationary Rayleigh flat-fading\nchannel with unknown channel state information at transmitter and receiver. The\nlaw of the channel is presumed to be known to the receiver. In addition, we\nassume the power spectral density (PSD) of the fading process to be compactly\nsupported. For i.i.d. zero-mean proper Gaussian input distributions, we\ninvestigate the achievable rate. One of the main contributions is the\nderivation of two new upper bounds on the achievable rate with zero-mean proper\nGaussian input symbols. The first one holds only for the special case of a\nrectangular PSD and depends on the SNR and the spread of the PSD. Together with\na lower bound on the achievable rate, which is achievable with i.i.d. zero-mean\nproper Gaussian input symbols, we have found a set of bounds which is tight in\nthe sense that their difference is bounded. Furthermore, we show that the high\nSNR slope is characterized by a pre-log of 1-2fd, where fd is the normalized\nmaximum Doppler frequency. This pre-log is equal to the high SNR pre-log of the\npeak power constrained capacity. Furthermore, we derive an alternative upper\nbound on the achievable rate with i.i.d. input symbols which is based on the\none-step channel prediction error variance. The novelty lies in the fact that\nthis bound is not restricted to peak power constrained input symbols like known\nbounds, e.g. in [1]. Therefore, the derived upper bound can also be used to\nevaluate the achievable rate with i.i.d. proper Gaussian input symbols. We\ncompare the derived bounds on the achievable rate with i.i.d. zero-mean proper\nGaussian input symbols with bounds on the peak power constrained capacity given\nin [1-3]. Finally, we compare the achievable rate with i.i.d. zero-mean proper\nGaussian input symbols with the achievable rate using synchronized detection in\ncombination with a solely pilot based channel estimation.\n