Asymptotic Analysis of Successive versus Parallel Interference Cancellation Schemes for Block Precoded OFDM

This contribution derives the theoretical asymptotic performance of successive interference cancellation (SIC) and parallel interference cancellation (PIC) decoding schemes in the context of Linear Precoded OFDM systems. Linear Precoding consists in multiplying by a N K isometric matrix a K-dimensional vector obtained by serial to parallel conversion of a symbol sequence to be transmitted. Using new tools, borrowed from the so-called Free Probability Theory, the Signal to Interference plus Noise Ratio at each iteration of the non-linear detection process is derived when N ∞ and K N α 1 assuming both ergodic and non-ergodic fading channels. These asymptotic results aim at adjusting the different parameters involved in the two decoding schemes.