Title | ||
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Upper bounds on the capacity of discrete-time blockwise white Gaussian channels with feedback |
Abstract | ||
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Although it is well known that feedback does not increase the capacity of an additive white Gaussian channel, Yanagi (1992) gave the necessary and sufficient condition under which the capacity Cn,FB (P) of a discrete time nonwhite Gaussian channel is increased by feedback. In this correspondence we show that the capacity Cn,FB (P) of the Gaussian channel with feedback is a concave function of P, and give two types of inequalities: both 1/α Cn,FB(αP) and Cn,FB(αP)+½ln 1/α are decreasing functions of α>0. As their application we can obtain two upper bounds on the capacity of the discrete-time blockwise white Gaussian channel with feedback. The results are quite useful when power constraint P is relatively not large |
Year | DOI | Venue |
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2000 | 10.1109/18.841195 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
sufficient condition,gaussian channel,running head: gaussian channel capacity with feedback key words: gaussian channel,concave function,upper bound,feedback,discrete-time blockwise white gaussian,additive white gaussian channel,blockwise white gaussian channel,capacity,capacity cn,discrete time nonwhite gaussian,power constraint p,discrete time,decoding,computer science,gaussian noise,gaussian processes,white noise,signal processing,stochastic processes,channel capacity | Discrete mathematics,Combinatorics,Upper and lower bounds,Concave function,White noise,Gaussian process,Decoding methods,Discrete time and continuous time,Channel capacity,Gaussian noise,Mathematics | Journal |
Volume | Issue | ISSN |
46 | 3 | 0018-9448 |
Citations | PageRank | References |
2 | 0.41 | 6 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Han Wu Chen | 1 | 8 | 2.03 |
K. Yanagi | 2 | 2 | 0.41 |