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Optimal Gain Control for Single-Carrier Communications with Uniform Quantization

S. Krone and G. Fettweis

The paper has been accepted for publication at the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'10, www.icassp2010.com )

Abstract: The achievable rate of digital communications systems can strongly depend on the analog-to-digital conversion at the receiver. It is hence important to adjust the gain control at the receiver in such a way that the performance degradation due to the analog-to-digital conversion is as small as possible. This paper studies the concept of an optimal gain control to maximize the achievable rate of single-carrier systems that employ analog-to-digital conversion with uniform quantization. Transmission of complex-valued symbols is considered, and a phase offset between transmitter and receiver is taken into account. The optimal gain control derives from the average mutual information between the transmitted symbols and quantized received samples. Allowing for a small tolerance of the achievable rate, it is possible to adequately adjust the gain control even with limited accuracy.


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