Abstract | ||
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It is well known that the performance of a data receiver for an intersymbol interference (ISI) channel can depend strongly on the detection delay δ. For a discrete-time communication system, this paper derives a lower bound on the bit-error probability as a function of δ. This “restricted delay bound” is governed by a “restricted-delay distance” d(δ). In many instances, it improves upon Forney's (1972) bound, which is governed by the minimum distance dmin. For instance, for partial-response channels, d(δ) does not converge to dmin even as δ→∞. For channels without spectral zeros, a finite detection delay suffices for d(S) to coincide with dmin. For all finite δ, d(δ) is determined by a finite number of error patterns and may be computed in a straightforward manner. Unlike dmin, d(δ) depends on the phase characteristics of the channel. Minimum phase is proved to maximize d(δ). The lower bound is generalized to discrete-time channels with colored noise and to continuous-time channels. The effect of transforming a continuous-time channel into a discrete-time channel is discussed. Transformation via a matched filter, as in the ISI canceller and a Viterbi detector due to Ungerboeck and MacKechnie (1973), is shown to result in poor restricted-delay properties. Implications of these results are illustrated by means of examples |
Year | DOI | Venue |
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1994 | 10.1109/26.293683 | Communications, IEEE Transactions |
Keywords | Field | DocType |
data communication equipment,delays,discrete time systems,interference suppression,intersymbol interference,matched filters,receivers,signal detection,ISI canceller,Viterbi detector,bit-error probability,colored noise,continuous-time channels,data receivers,discrete-time channels,discrete-time communication system,error patterns,intersymbol interference channel,lower bound,matched filter,partial-response channel,phase characteristics,restricted detection delay,restricted-delay distance | Intersymbol interference,Detection theory,Computer science,Upper and lower bounds,Communication channel,Electronic engineering,Interference (wave propagation),Decoding methods,Matched filter,Viterbi algorithm | Journal |
Volume | Issue | ISSN |
42 | 6 | 0090-6778 |
Citations | PageRank | References |
5 | 1.13 | 11 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. W. M. Bergmans | 1 | 76 | 12.54 |
F. M. J. Willems | 2 | 25 | 6.37 |
G. S. M. Kerpen | 3 | 5 | 1.13 |