This letter considers the well-established Poisson impulse noise model with a random amplitude area distributed according to the /spl epsiv/-mixture Gaussian probability density function. This model is used to develop fast converging truncated Fourier-Bessel (FB) series expressions, required to evaluate accurately the performance of a binary phase-shift keying (BPSK) modulation scheme as part of a densely populated asynchronous direct-sequence code-division multiple-access (A/DS-CDMA) configuration. The average error probability of the correlation receiver is easily and quickly obtained here, even for the case of a large number of users (K=100), unlike earlier attempts in this area in which the use of other analysis approaches (e.g., closed-form approach or Taylor series expansion approach) could not exceed the limit of K=2 and K=24 in an /spl epsiv/-mixture impulsive and/or Gaussian noise environment, respectively.