H. Liao, Multiple access channels, Ph. D. Dissertation, Department of Electrical Engineering, University of Hawaii, Honolulu, 1972.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....j;u;k 1: Proof See Appendix D. 2 It is worth noting that the achievable rate vector regions given by Theorem 4. 1 for the U user Gaussian multiple access channel and the U user Gaussian broadcast channel are 18 exactly the capacity de ning achievable rate regions given for these channels in [1, 21] and [4, 14] respectively. We next extend Theorems 3.1 and 4.1 so as to allow di erent information to be sent over di erent ow graphs between a source destination pair (s; d) The basic idea is to colocate virtual source destination pairs at the same pair of nodes s and d, in the above scheme. ....

H. Liao, \Multiple access channels," Ph.D. Thesis, Department of Electrical Engineering, University of Hawaii, Honolulu, 1972.

.... the question: How much information can wireless networks transport It is a triumph of information theory that the capacity regions for some systems have been characterized, as for example the Gaussian broadcast channel [10, 11, 12, 13] shown in Figure 1, and the Gaussian multiple access channel [14, 15] shown in Figure 2. Recently, for a network with a single source destination pair, the asymptotic rate has been characterized as the number of nodes in a bounded domain is increased, while excluding them from open neighborhoods of the source and destination; see [16] Y Y 2 m Figure ....

H. Liao, Multiple access channels. PhD thesis, University of Hawaii, Honolulu, HA, 1972. Department of Electrical Engineering.

....k=m (q) j (u) q) j;u;k 1: Proof See Appendix D. 2 It is worth noting that the achievable rate vector regions given by Theorem 4. 1 for the U user Gaussian multiple access channel and the U user Gaussian broadcast channel are exactly the capacity de ning achievable rate regions given in [1, 17] and [3, 12] respectively for these channels. We next extend Theorems 3.1 and 4.1 so as to allow di erent information to be sent over di erent ow graphs between a source destination pair (s; d) The basic idea is to colocate virtual source destination pairs at the same pair of nodes s and d, in ....

H. Liao, \Multiple access channels," Ph.D. Thesis, Department of Electrical Engineering, University of Hawaii, Honolulu, 1972.

....input distributions. The capacity region of the asynchronous multiple access channel with arbitrarily large shifts between time indices is the closure of C [16, 17] whereas if shifts are bounded or the multiple access channel is synchronous then its capacity is the closure of the convex hull of C [18, 19]. In this paper we consider only asynchronous channels. It follows that any point in the interior of the capacity region must be in R[W ; P X 1 P X 2 Delta Delta Delta PXM ] for some P X 1 P X 2 Delta Delta Delta PXM . 5 Hence we may (and will) assume that P X 1 P X 2 Delta Delta ....

H. Liao, Multiple Access Channels. PhD thesis, Department of Electrical Engineering, University of Hawai, 1972.

....X Y . its output Z is the (real) sum of its inputs, Z = X Y . We assume that the channel is block synchronous, i.e. that the two users can align the beginning of their code words. It is well known and follows from the general capacity formulas for discrete memoryless multiple access channels [1, 2, 3] that the Shannon capacity region C S of this channel is the pentagon described by 0 RX 1, 0 R Y 1, and 0 RX R Y 3=2, as shown in Fig. 2. More precisely, for any rate tuple (RX ; R Y ) 2 C S , ffl 0, and n n(ffl) there exists a code C (n) X (n) Y (n) f0; 1g n Theta ....

H. Liao, Multiple Access Channels. PhD thesis, Department of Electrical Engineering, University of Hawai, 1972.

....p XM ] 4) where the union is over all product input distributions. Poltyrev [1] and Hui and Humblet [2] showed that the asynchronous 1 capacity region is the closure of C. The closure of the convex hull of C is the synchronous capacity region which was first proved by Ahlswede [3] and Liao [4] and subsequently, as a special case of a more general result, by Slepian and Wolf [5] In many instances C is already convex and, hence, the synchronous and the asynchronous capacity region coincide. Nevertheless, there are channels where this is not the case [6] For a fixed input distribution ....

H. Liao, Multiple Access Channels. PhD thesis, Department of Electrical Engineering, University of Hawai, 1972.

....strategy for implementing practical systems. We suppose at first that the channel is discrete time and frame synchronous, with power constraint P = P 1 ; Delta Delta Delta ; PM ) where P i is the power constraint for user i, and noise variance oe 2 (see Figure 1) Its capacity region [1] [8] is the subset of R M containing the rate M tuples (R 1 ; Delta Delta Delta ; RM ) with nonnegative components satisfying X i2S R i 1 2 log 2 (1 P i2S P i oe 2 ) 8S f1; Delta Delta Delta ; Mg: 1) There are points 1 in this capacity region that are known to be achievable ....

H. Liao, Multiple Access Channels. PhD thesis, Department of Electrical Engineering, University of Hawai, 1972.

No context found.

H. Liao, Multiple access channels, Ph. D. Dissertation, Department of Electrical Engineering, University of Hawaii, Honolulu, 1972.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC