In this paper, the capacity region of the linear deterministic interference channel with noisy channel-output feedback (LD-IC-NOF) is fully characterized. A capacity-achieving scheme is obtained using a random coding argument and three wellknown techniques: rate splitting, superposition coding and backward decoding. The converse region is obtained using some of the existing outer bounds as well...

We obtain the Shannon capacity region of the downlink (broadcast) channel in fading and additive white Gaussian noise (AWGN) for time-division, frequency-division, and codedivision. For all of these techniques, the maximum capacity is achieved when the transmitter varies the data rate sent to each user as their channels vary. This optimal scheme requires channel estimates at the transmitter; dy...

We provide an overview of the extensive recent results on the Shannon capacity of single-user and multiuser multiple-input multiple-output (MIMO) channels. Although enormous capacity gains have been predicted for such channels, these predictions are based on somewhat unrealistic assumptions about the underlying time-varying channel model and how well it can be tracked at the receiver, as well a...

The Marton-Gelfand-Pinsker inner bound on the capacity region of broadcast channels was extended by HanCosta to include arbitrarily correlated sources where the capacity region is replaced by an admissible source region. The main arguments of Han-Costa are correct but unfortunately the authors overlooked an inequality in their derivation. The corrected region is presented and the absence of the...

Research in the past decade has established capacity theorems for point-to-point bosonic channels with additive thermal noise, under the presumption of a conjecture on the minimum output von Neumann entropy. In the first part of this thesis, we evaluate the optimum capacity for free-space line-of-sight optical communication using Gaussian-attenuation apertures. Optimal power allocation across a...

cation exchange capacity and specific surface area are among some of the important soil characteristics the direct measurement of which is laborious, costly and time consuming. therefore, fractal dimension of particle size distribution has been widely studied in relation with many such dynamic and static processes as transmission of water and solutes, water holding capacity, heat storage and co...

One fundamental problem in the field of network coding is to determine the network coding capacity of networks under various network coding schemes. In this thesis, we address the problem with two approaches: matroidal networks and capacity regions. In our matroidal approach, we prove the converse of the theorem which states that, if a network is scalar-linearly solvable then it is a matroidal ...

!"#$$%" &'()*(a b Contributions • new inner bound (largest region) • new outer bound (not tightest, but computable) • capacity for deterministic channels (also semi-deterministic) • 1.8 bit gap result for Gaussian channels (preliminary simulations show smaller gap) Tx 1 Tx 2 Rx 1 Rx 2 [2] A. Avestimehr, S. Diggavi, and D. Tse, " A deterministic model for wireless relay networks an its capacity,...

In this paper, some new results on the multiple-access wiretap channel (MAC-WT) are provided. Specifically, first, we investigate the degraded MAC-WT, where two users transmit their corresponding confidential messages (no common message) to a legitimate receiver via a multiple-access channel (MAC), while a wiretapper wishes to obtain the messages via a physically degraded wiretap channel. The s...

Space-division multiple-access (SDMA) systems that employ multiple antenna elements at the base station can provide much higher capacity than single-antenna-element systems. A fundamental question to be addressed concerns the ultimate capacity region of an SDMA systemwherein a number of mobile users, each constrained in power, try to communicate with the base station in a multipath fading envir...