Title | ||
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Bounds on maximum throughput for digital communications with finite-precision and amplitude constraints |
Abstract | ||
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The problem of finding the maximum achievable data rate over a linear time-invariant channel is considered under constraints different from those typically assumed. The limiting factor is taken to be the accuracy with which the receiver can measure the channel output. More precisely, the following problem is considered. Given a channel with known impulse response h(t), a transmitter with an output amplitude constraint, and a receiver that can distinguish between two signals only if they are separated in amplitude at some time t 0 by at least some small positive constant d, what is the maximum number of messages, Nmax, that can be transmitted in a given time interval [0,T]? Lower bounds on Nmax can be easily computed by constructing a particular set of inputs to the channel. The main result is an upper bound on Nmax for arbitrary h(t). The upper bound depends on the spread of h(t), which is the maximum range of values the channel output may take at some time t0>0 given that the output takes on a particular value α at time t=0. Numerical results are shown for different impulse responses, including two simulated telephone subscriber loop impulse responses |
Year | DOI | Venue |
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1990 | 10.1109/ICASSP.1988.196987 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
equality constraint,digital communication systems,finite-precision,linear time-invariant channel,signal processing,telephone subscriber loop,transmitter,linear-time algorithm,output amplitude constraint,accuracy,receiver,linear programs,telecommunication channels,information theory,maximum achievable data rate,simulated telephone subscriber loop,channel capacity,subscriber loops,impulse response,upper bound,digital communications,lower bound,maximum throughput,impulse responses,throughput,linear time invariant,telephony,transmitters,limiting factor,length measurement,time measurement | Information theory,Impulse response,Discrete mathematics,Transmitter,Mathematical analysis,Upper and lower bounds,Control theory,Communication channel,Impulse (physics),Amplitude,Channel capacity,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 3 | 1520-6149 |
Citations | PageRank | References |
4 | 2.47 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Michael L. Honig | 1 | 2971 | 411.29 |
Kenneth Steiglitz | 2 | 1128 | 660.13 |
Gopinath, B. | 3 | 166 | 85.04 |
Boyd, S.P. | 4 | 8 | 6.67 |