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- W1972951330 abstract "We seek the maximum number of users possible for multiuser, spread-spectrum radio systems, as the signal set is varied, under the following ideal conditions: 1) no fading; 2) synchronous system; 3) orthogonal signal set for each user; 4) matched-filter individual receivers; 5) no additive noise. Welch has given an upper bound on the number of vectors (or equivalently signals) w possible in a d -dimensional space, given the maximum cross-correlation magnitude C max between any vector pair. However, the error rate for the systems under study may depend on a suitably defined root-mean-square cross correlation C rms , rather than on the maximum cross correlation Cmax of a vector set. We extend Welch's results to d -dimensional vector sets of size w divided into alphabets of size A , the vectors of each alphabet being strictly orthogonal, and give the maximum size of such a vector set as function of C rms . We demonstrate that as Welch's limit is approached, all cross correlations must approach C max , and given precise limits on the way in which this must occur. Similarly, close to the present bounds (in terms of C rms ) all rms cross correlations must be close to C rms . Particular examples are given of signal sets close to the present bounds." @default.
- W1972951330 created "2016-06-24" @default.
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- W1972951330 date "1982-05-01" @default.
- W1972951330 modified "2023-09-24" @default.
- W1972951330 title "Bounds on the Number of Signals with Restricted Cross Correlation" @default.
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- W1972951330 doi "https://doi.org/10.1109/tcom.1982.1095535" @default.
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