Near-far resistance of linear receivers in chip-asynchronous CDMA systems with random signatures

This letter quantifies the robustness of linear receivers, such as the minimum mean-squared error and the decorrelating receivers against the near-far problem in chip asynchronous direct-sequence code-division multiple-access systems with random signatures, where both of those linear receivers achieve the optimum near-far resistance. Due to asynchronism of the system, different symbols of a user see different interference structures which affect their performance differently. Thus, instead of concentrating on any particular symbol of a user, we analyze the average optimum near-far resistance of a randomly selected symbol of that user by providing simple tight upper and lower bounds on it.