Arrangements are described for fitting a cochlear implant system to an implanted patient. A test stimulation sequence is delivered to the implanted patient which is based on a concatenated sequence of time shifted envelopes of sinusoidal amplitude modulated (SAM) signals that have a carrier frequency fc modulated by a jittered modulation frequency fm+&egr, where &egr is a frequency jitter component selected from a jitter range of [&minus&egr1,+&egr1]. Patient responses to the test stimulation sequence are simultaneously measured including an auditory steady-state response (ASSR) measurement signal and a psychophysical pitch discrimination response. The time shifted envelopes are adapted to avoid measurement artifacts in the ASSR measurement signal around the modulation frequency fm.