Active noise cancellation system utilizing a diagonalization filter matrix

Estimated output signals of the reference signals are generated using an estimated filter path transfer function that provides an estimated effect on sound waves traversing a physical path, the estimated filter path transfer function performing processing according to a diagonalization matrix and reference signals. Anti-noise signals are generated from the reference signals using an adaptive filter driven by learning unit signals received from a learning algorithm unit, the learning unit signals based in part on error output signals generated from the estimated output signals, the anti-noise signals including signals per sound zone and per reference signal, each sound zone including a microphone and one or more loudspeakers. A sum across references is performed on the anti-noise signals to generate a set of output signals per sound zone. The set of output signals are processed by the diagonalization matrix to generate a set of output signals per loudspeaker.