Express Paper
Low-Frequency Limits of Cross-Talk Cancellation Systems Under Robustness Constraints
Express Paper · Paper 460 · May 2026
Abstract
The low-frequency performance of cross-talk cancellation (CTC) systems is fundamentally limited by the condition
number of the plant matrix, which indicates the robustness of the inverse system in the absence of regularisation.
This condition number, in turn, depends on the relationship between loudspeaker spacing, listener distance, and
acoustic wavelength. This paper derives a simple approximate expression for the low-frequency limit of CTC
performance, defined for a given maximum affordable condition number as a function of these parameters. The
increase in condition number is also shown to be directly related to the increase in array effort relative to the
minimum achievable array effort. The formulation is derived for a centred listener, demonstrating the methods
applicability to listener-position-adaptive cross-talk cancellation systems.
