In this paper, we describe linear successive interference cancellation (SIC
) based on matrix-algebra, We show that linear SIC schemes (single-stage an
d multistage) correspond to linear matrix filtering that can be performed d
irectly on the received chip-matched filtered signal vector without explici
tly performing:the interference cancellation, This leads to an analytical e
xpression for calculating the resulting bit-error rate which is of particul
ar Use for short-code systems, Convergence issues are discussed, and the co
ncept of epsilon-convergence is introduced to determine the number of stage
s required for practical convergence for both short and long codes.