Design of Crosstalk Cancellation Filters: Combining Inverse Filtering and Optimal Control

Crosstalk cancellation (CTC) systems are crucial for loudspeaker-based reproduction of binaural signals. Two common paradigms for designing CTC filters exist. The first paradigm is based on inverse filtering, which utilizes convex optimization to obtain FIR CTC filters. The second paradigm is based on methods from optimal control, such as H-2 or H-infinity synthesis, to obtain optimal IIR filters in state-space form. In this contribution, we study similarities and differences of both paradigms. Based on our findings, we show how to state FIR CTC filter optimization problems advantageously to address the inherent trade-off between channel separation and equalization in an enhanced way.