Due to the inherently low duty cycle of ion mobility spectrometry (IMS) experiments that sample from continuous ion sources, a range of experimental advances have been developed to maximize ion utilization efficiency. The use of ion trapping and accumulation approaches prior to the ion mobility drift tube has demonstrated significant gains over discrete sampling from continuous sources but have traditionally relied upon a signal averaging (SA) to attain analytically useful signal-to-noise ratios (SNR). Multiplexed (MP) techniques based upon the Hadamard transform offer an alternative experimental approach by which ion utilization efficiency can be elevated from approximately 1 to approximately 50%. Recently, our research group demonstrated a unique multiplexed ion mobility time-of-flight (MP-IMS-TOF) approach that incorporates ion trapping and can extend ion utilization efficiency beyond 50%. However, the spectral reconstruction of the multiplexed signal using this experiment approach requires the use of sample-specific weighting designs. Such general weighting designs have been shown to significantly enhance ion utilization efficiency using this MP technique, but cannot be universally applied. By modifying both the ion trapping and the pseudorandom sequence (PRS) used for the MP experiment, we have eliminated the need for complex weighting matrices. For both simple and complex mixtures, SNR enhancements of up to 13 were routinely observed as compared to the SA-IMS-TOF approach. In addition, this new class of PRS provides a 2-fold enhancement in the number of ion gate pulses per unit time compared to the traditional HT-IMS experiment.