Abstract
Upper and lower bounds are derived on the reliability function of the additive white Gaussian noise channel with output fed back to the transmitter over an independent additive white Gaussian noise channel. Special attention is paid to the regime of very low feedback noise variance and it is shown that the reliability function is asymptotically inversely proportional to the feedback noise variance. This result shows that the noise in the feedback link, however small, renders the communication with noisy feedback fundamentally different from the perfect feedback case. For example, it is demonstrated that with noisy feedback, linear coding schemes fail to achieve any positive rate. In contrast, an asymptotically optimal coding scheme is devised, based on a three-phase detection/retransmission protocol, which achieves an error exponent inversely proportional to the feedback noise variance for any rate less than capacity.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
