Reliable communication in the absence of a common clock

  • Authors:
  • Raymond W. Yeung;Ning Cai;Siu-Wai Ho;Aaron B. Wagner

  • Affiliations:
  • Department of Information Engineering, The Chinese University of Hong Kong, N.T., Hong Kong;The State Key Laboratory of ISN, Xidian University, Xi'an, Shaanxi, China and Department of Information Engineering, The Chinese University of Hong Kong, N.T., Hong Kong;Department of Electrical Engineering, Princeton University, Princeton, NJ and Department of Information Engineering, The Chinese University of Hong Kong, N.T., Hong Kong;School of Electrical and Computer Engineering, Cornell University, Ithaca, NY

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

We introduce the continuous time asynchronous channel as a model for time jitter in a communication system with no common clock between the transmitter and the receiver. We have obtained a simple characterization for an optimal zero-error self-synchronizable code for the asynchronous channel. The capacity of this channel is determined by both a combinatorial approach and a probabilistic approach. Our results unveil the somewhat surprising fact that it is not necessary for the receiver clock to resynchronize with the transmitter clock within a fixed maximum time in order to achieve reliable communication. This means that no upper limit should be imposed on the run lengths of the self-synchronization code as in the case of run-length limited (RLL) codes which are commonly used in magnetic recording.