[41]

Fading Channels with 1-Bit Output Quantization: Optimal Modulation, Ergodic Capacity and Outage Probability

Stefan Krone and Gerhard Fettweis

The paper has been accepted for publication at the IEEE Information Theory Workshop ( ITW 2010 ) in Dublin.

Abstract: The achievable rate of communications systems depends on the quantization resolution at the receiver. Earlier work has shown that the capacity of real-valued AWGN channels with 1-bit output quantization is achieved with BPSK. This paper studies optimal modulation schemes, the ergodic capacity and the outage probability for complex-valued fading channels with 1-bit output quantization, assuming full channel knowledge at the receiver. It is shown that circular symmetry with at most one amplitude per phase is a necessary condition for optimal modulation. Circular-symmetric PSK achieves the ergodic capacity in case of Rayleigh fading. Considering the outage probability for Rayleigh fading, L-PSK with large L shows the best performance among conventional modulation schemes.

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Publications Publications, alphabetical order Publications 2008 Publications 2009 Publications 2010 Publications 2011 ICC 2009 PR 01/2009 Final Presentation	[41] Fading Channels with 1-Bit Output Quantization: Optimal Modulation, Ergodic Capacity and Outage Probability Stefan Krone and Gerhard Fettweis The paper has been accepted for publication at the IEEE Information Theory Workshop ( ITW 2010 ) in Dublin. Abstract: The achievable rate of communications systems depends on the quantization resolution at the receiver. Earlier work has shown that the capacity of real-valued AWGN channels with 1-bit output quantization is achieved with BPSK. This paper studies optimal modulation schemes, the ergodic capacity and the outage probability for complex-valued fading channels with 1-bit output quantization, assuming full channel knowledge at the receiver. It is shown that circular symmetry with at most one amplitude per phase is a necessary condition for optimal modulation. Circular-symmetric PSK achieves the ergodic capacity in case of Rayleigh fading. Considering the outage probability for Rayleigh fading, L-PSK with large L shows the best performance among conventional modulation schemes.