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Information transmission between two communicators with relative motion. (English) Zbl 0576.94002

Summary: In information transmission between two communicators with relative motion, the information transmission rate and efficiency are influenced by the Doppler effect and the relativistic effect. The received signal power \(P'=\alpha P\) is established for a sound or radio channel; then, taking the Doppler effect into account, the capacity of the AWGN Shannon channel and the capacity region for the AWGN multiple-access channel with and without feedback are determined. Influences of the Doppler effect and the relativistic effect on the asymmetry in information transmission efficiency are also discussed; it is found that the asymmetry favors the information transmission from a stationary transmitter to a moving receiver for the AWGN channel with the relativistic Doppler effect, while it favors that from the moving to the stationary for the AWGN channel with only the classical Doppler effect.

MSC:

94A05 Communication theory
83A05 Special relativity
94A15 Information theory (general)
94A40 Channel models (including quantum) in information and communication theory
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References:

[1] T. P. Gill, The Doppler Effect; T. P. Gill, The Doppler Effect
[2] Jarett, K.; Cover, T., Asymmetries in relativistic information, IEEE Trans. Inform. Theory, IT-27, 152-159 (Mar. 1981)
[3] Shannon, C. E., Communication in presence of noise, (Proc. IRE, 37 (Jan. 1949)), 10-21
[4] Wyner, A. D., Recent results in the Shannon theory, IEEE Trans. Inform. Theory, IT-20, 2-10 (Jan. 1974)
[5] Cover, T., Some advances in broadcast channel, (Viterbi, A., Theory and Applications. Theory and Applications, Advances in Communication Systems, Vol. 4 (1975), Academic: Academic San Francisco)
[6] Cover, T., An achievable rate region for the multiple-access channel with feedback, IEEE Trans. Inform. Theory, IT-27, 292-298 (May 1981)
[7] Gaarder, N.; Wolf, The capacity region of a multiple-access discrete memoryless channel can increase with feedback, IEEE Trans. Inform. Theory, IT-21, 100-102 (Jan. 1975)
[8] Cover, T.; Leung, S., A scheme for enlarging the capacity region of multiple-access channels using feedback, (Tech. Rep. 17 (Mar. 1976), Dept. of Statistics, Stanford Univ: Dept. of Statistics, Stanford Univ Stanford, Calif)
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