On continuous-time white phase noise channels

A continuous-time model for the additive white Gaussian noise (AWGN) channel in the presence of white (memoryless) phase noise is proposed and discussed. It is shown that for linear modulation the output of the baud-sampled filter matched to the shaping waveform represents a sufficient statistic. The analysis shows that the phase noise channel has the same information rate as an AWGN channel but with a penalty on the average signal-to-noise ratio, the amount of penalty depending on the phase noise statistic.

[1]  Gerhard Kramer,et al.  Phase modulation for discrete-time wiener phase noise channels with oversampling at high SNR , 2014, 2014 IEEE International Symposium on Information Theory.

[2]  Gerhard Kramer,et al.  On Wiener phase noise channels at high Signal-to-Noise Ratio , 2013, 2013 IEEE International Symposium on Information Theory.

[3]  Larry J. Greenstein,et al.  Noncoherent detection of coherent lightwave signals corrupted by phase noise , 1988, IEEE Trans. Commun..

[4]  Luca Barletta,et al.  Pilot-Aided Carrier Recovery in the Presence of Phase Noise , 2011, IEEE Transactions on Communications.

[5]  P. Winzer,et al.  Capacity Limits of Optical Fiber Networks , 2010, Journal of Lightwave Technology.

[6]  L. Barletta,et al.  Estimate of Information Rates of Discrete-Time First-Order Markov Phase Noise Channels , 2011, IEEE Photonics Technology Letters.

[7]  Peter J. Winzer,et al.  Calculation of Mutual Information for Partially Coherent Gaussian Channels With Applications to Fiber Optics , 2010, IEEE Transactions on Information Theory.

[8]  Feller William,et al.  An Introduction To Probability Theory And Its Applications , 1950 .

[9]  Luca Barletta,et al.  Upper and Lower Bounds to the Information Rate Transferred Through First-Order Markov Channels With Free-Running Continuous State , 2014, IEEE Transactions on Information Theory.

[10]  Shlomo Shamai,et al.  On the capacity-achieving distribution of the discrete-time noncoherent and partially coherent AWGN channels , 2004, IEEE Transactions on Information Theory.

[11]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[12]  Giulio Colavolpe,et al.  On the Information Rate and Repeat-Accumulate Code Design for Phase Noise Channels , 2011, IEEE Transactions on Communications.

[13]  Gou Hosoya,et al.  国際会議参加報告:2014 IEEE International Symposium on Information Theory , 2014 .

[14]  Luca Barletta,et al.  Tight upper and lower bounds to the information rate of the phase noise channel , 2013, 2013 IEEE International Symposium on Information Theory.

[15]  Amos Lapidoth.  On phase noise channels at high SNR , 2002, Proceedings of the IEEE Information Theory Workshop.

[16]  M. Magarini,et al.  The Information Rate Transferred Through the Discrete-Time Wiener's Phase Noise Channel , 2012, Journal of Lightwave Technology.

[17]  Gerhard Kramer,et al.  Multi-sample receivers increase information rates for Wiener phase noise channels , 2013, 2013 IEEE Global Communications Conference (GLOBECOM).