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Table 2 Modified state-space models of SSRLS

From: Robust adaptive algorithm for active control of impulsive noise

Sinusoidal model

Velocity model

Acceleration model

\( A = \left[\begin{array}{c}\hfill cos(wT) sin(wT)\hfill \\ {}\hfill - sin(wT) cos(wT)\hfill \end{array}\right] \)

\( A = \left[\begin{array}{cc}\hfill 1\hfill & \hfill T\hfill \\ {}\hfill 0\hfill & \hfill 1\hfill \end{array}\right] \)

\( A=\left[\begin{array}{ccc}\hfill 1\hfill & \hfill T\hfill & \hfill {\frac{T}{2}}^2\hfill \\ {}\hfill 0\hfill & \hfill 1\hfill & \hfill T\hfill \\ {}\hfill 0\hfill & \hfill 0\hfill & \hfill 1\hfill \end{array}\right] \)

\( C = \left[\begin{array}{cc}\hfill x^{\prime }(n)\hfill & \hfill 0\hfill \end{array}\right] \)

\( C = \left[\begin{array}{cc}\hfill x^{\prime }(n)\hfill & \hfill 0\hfill \end{array}\right] \)

\( C = \left[\begin{array}{ccc}\hfill x^{\prime }(n)\hfill & \hfill 0\hfill & \hfill 0\hfill \end{array}\right] \)