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Application of Lattice Codes Over Channels with State

Ghasemi-Goojani, Shahab | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43697 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Behroozi, Hamid
  7. Abstract:
  8. Although in the network information theory most of results are based on applying random codes, one of the important challenges is to design linear structured codes that achieves the performance close to the performance of random codes. Recently, it is shown that lattice codes can be designed as good codes for quantization and also capacity-achieving in additive white Gaussian noise (AWGN) channel. Due to such a good performance, lattice codes can be designed properly and applied in various problems in network information theory.In this work, we study the performance of lattice codes for the following problems:1. Gaussian multiple access channel (MAC) with state: A joint source channel coding problem of transmitting linear functions of two correlated Gaussians in the presence of known interference at the transmitter over an additive Gaussian noise multiple access channel (MAC). Here, a lattice-based coding scheme is presented and its achievable distortion is analyzed. In addition, two lower bounds on the achievable distortion are derived.2. State-dependent Gaussian broadcast channel (BC): The goal is to recover the messages at the receivers with the maximum reliable rates. We show that lattice codes can achieve the capacity region over the Gaussian BC with state.3. State-dependent Gaussian interference channel (IC): The goal is to achieve the capacity region using lattice codes. First, we present an outer bound for the sum-capacity. Then, by utilizing lattice codes, we prove that if noise variances and transmitters powers satisfy some certain conditions, we can achieve the sum-capacity of the channel.
  9. Keywords:
  10. Capacity Region ; Media Access Control (MAC)Layer ; Lattice Codes ; Channel with State ; State-Dependent Gaussian Broadcast Channel ; State-Dependent Gaussian Interference Channel

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