Effect of Weight Distribution on Vector Symbol Decoder Performance
Nabeela Shaheen, Usana Tuntoolavest · 2018
To have the burst error correcting feature of nonbinary codes with low complexity decoding, Vector Symbol Decoder (VSD) uses non-binary codes with the structure of binary G and H matrix. VSD can always correct if the number of error symbols is at most two fewer than the minimum distance (d). For more errors, weight distribution plays an important role in the ability to correct. This paper aims to analytically compare the performance of different codes with the same d using their weight distributions. The goal is to select the nonbinary codes with better VSD decoding performance without simulations. For example, the (27,14,7) code has better correction capability than the (23,12,7) code from the proposed formula and confirmed by the simulation results. Additional simulation results in Rician fading channel with Doppler Effect also confirm that the first code is superior.