Modeling BLER Performance of Punctured Turbo Codes

Abstract

In this thesis the author constructed a mathematical model using a continuous and differentiable expression, that approximates the BLER (Block Error Rate) performance of punctured turbo codes for different (SNR) Signal to Noise ratios, block lengths and MCS (Modulation and Coding Schemes) rates.

The model can be used for two different purposes. First, the model can be used to replace look-up tables in system level simulators; bringing the advantage of introducing a continuous set of block lengths and MCS rates, not available in look-up tables. Second, with the help of this function communications systems can be optimized using analytical methods based on differentiation.

The construction of the mathematical model was developed for the particular case of the Turbo Code (13, 15)8 and QPSK modulation; but the derivation of the model can be generalized to other Turbo Codes and modulation types. The model was also applied to a different link configuration using 16 QAM modulation.