Cascaded-parallel adaptive notch filter based on orthogonal decomposition

In this paper, rational orthogonal basis functions are introduced to realize cascaded-parallel structure of adaptive notch filters (ANF) in the case of identifying and separating multiple sinusoids from wideband signals. The structural orthogonality provides good tradeoff between convergence speed and computational complexity. A simplified mean square output error (MSOE) updating algorithm is derived for the cascade-parallel realization. Simulation results confirm that the proposed structure converges faster compared with the cascade realizations with the same computational complexity.