On the capacity of the Gaussian channel with a finite number of input levels

An analytic confirmation of an observation made by G. Ungerboeck (1965) that approximately optimal performance on a Gaussian channel with capacity C can be obtained with about 2/sup C+1/ levels is given. In particular, the results imply that by using about 2/sup C-1/ levels, a rate of nearly C-1 bit...

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Veröffentlicht in:IEEE transactions on information theory 1990-11, Vol.36 (6), p.1426-1428
Hauptverfasser: Ozarow, L.H., Wyner, A.D.
Format: Artikel
Sprache:eng
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Zusammenfassung:An analytic confirmation of an observation made by G. Ungerboeck (1965) that approximately optimal performance on a Gaussian channel with capacity C can be obtained with about 2/sup C+1/ levels is given. In particular, the results imply that by using about 2/sup C-1/ levels, a rate of nearly C-1 bit can be achieved, and that by using 2/sup C+1/ levels a rate of about C-0.4 bits can be achieved.< >
ISSN:0018-9448
1557-9654
DOI:10.1109/18.59937