Abstract-In this paper, we propose a novel detection algorithm for the elementary signal estimator of an IDMA system considering channel estimation error. To develop the algorithm, we derive new probability density function of decision variable reflecting channel estimation error and modify the conventional algorithm based on it. Through computer simulations, it is shown that the proposed algorithm achieves lower bit error rate than the conventional one. This performance enhancement is provided with negligible increase of its computational complexity.Index Terms-IDMA system, Channel estimation error, Elementary signal estimator.