One-bit quantizers for fading channels
T Koch, A Lapidoth - arXiv preprint arXiv:1112.5314, 2011 - arxiv.org
arXiv preprint arXiv:1112.5314, 2011•arxiv.org
We study channel capacity when a one-bit quantizer is employed at the output of the
discrete-time average-power-limited Rayleigh-fading channel. We focus on the low signal-to-
noise ratio regime, where communication at very low spectral efficiencies takes place, as in
Spread Spectrum and Ultra-Wideband communications. We demonstrate that, in this regime,
the best one-bit quantizer does not reduce the asymptotic capacity of the coherent channel,
but it does reduce that of the noncoherent channel.
discrete-time average-power-limited Rayleigh-fading channel. We focus on the low signal-to-
noise ratio regime, where communication at very low spectral efficiencies takes place, as in
Spread Spectrum and Ultra-Wideband communications. We demonstrate that, in this regime,
the best one-bit quantizer does not reduce the asymptotic capacity of the coherent channel,
but it does reduce that of the noncoherent channel.
We study channel capacity when a one-bit quantizer is employed at the output of the discrete-time average-power-limited Rayleigh-fading channel. We focus on the low signal-to-noise ratio regime, where communication at very low spectral efficiencies takes place, as in Spread Spectrum and Ultra-Wideband communications. We demonstrate that, in this regime, the best one-bit quantizer does not reduce the asymptotic capacity of the coherent channel, but it does reduce that of the noncoherent channel.
arxiv.org