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Advanced Coding
  • Turbo codes
  • LDPC codes
  • PA/GPA codes
  • TPC codes

  • Coding Theory
  • ML analysis
  • Iterative analysis
  • Channel capacity
  • Decoding algorithms

  • Wireless
  • PA on Rayleigh
  • Thresholds for Rayleigh

  • Optical Fiber
  • PA for OFC
  • ML bounds
  • Channel capacity

  • Data Storage
  • TPC/LDPC on PR
  • TPC on Lorentzian
  • Thresholds for ISI

  • Networks
  • Routing protocols
  • ARQ
  • Client/Server programming


  • Coding Theory

      Analysis from the Maximum Likelihood Perspective:

    Distance spectrum and interleaving gain:
    • Distance spectrum and interleaving gain for PA codes (paper) and GPA codes (paper).
    Union bounds:
    • Average ensemble bounds using the Union bounding technique for PA codes on AWGN channels (paper), non-dispersive uncorrelated Rayleigh fading channels (paper), and optical fiber communication channels like Chi-square, asymmetric Gaussian channels (paper).
    Simple bounds (due to Divsalar):
    • Eb/No thresholds of the simple bounds for PA codes (paper) and GPA codes (paper).

      Coding Analysis from the Iterative Perspective:

    Existance and computation of thresholds of codes using density evolution (DE):
    • Thresholds of LDPC, turbo and TPC/SPC codes on partial response (PR) channels using density evolution with Gaussian approximation (GA) (paper).
    • Thresholds of PA codes on AWGN channels (paper1, paper2) and non-dispersive uncorrelated Rayleigh fading channels (paper).
    • Thresholds of GPA codes on AWGN channels (paper).

      Channel Capacity:

    Channel capacities for various channels:
    • The ultimate channel capacity (optimal channel input) and the practical channel capacity (equal probable of channel input) of Chi-square channels in optical fiber communications. Both soft- and hard- decision is considered. Several values of the system parameter $M$ are investigated (paper).

      Decoding Algorithms:

    Code graph (Tanner graph) and message-passing decoding algorithms.
    • Message-passing decoding alorithms of TPC/SPC codes (paper).
    • Sum-product (Message-passing) decoding and min-sum decoding for cycle-free convolutional codes like $1/(1+D^n)$ (paper).

    » Resume                

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