【摘要】 用非奇异下三角变换矩阵P,对数字滤波器的可控规范型结构进行状态变换,找出无溢出高效率低舍入噪声的状态空间结构,给出求解P的迭代算法.结果表明,新结构比最低单位舍入噪声结构节省n(n-1)/2个L位乘法器和n(n-1)/2个L位全加器.在附录中还给出了求解李亚普诺夫矩阵方程的新方法.更多还原

【Abstract】 By using a nonsigular lower triangle transformation matrix P to apply to the controllable canonicalform of a digital filter, a new method is presented for finding computationally efficient low roundoff noisestate-space structure without overflow for digital filters. An iterative procedure for solving P is derived, too. The re-suit indicates that the new structure saves n(n-1)/2 L-bits’ multipliers and n(n-1)/2 L-bits’ full-adders overthe minimum unit noise structure in L-bits wordlength hardware realization of nth-order digital filters. In the ap-pendix, A new method for solving Lyapunov matrix equation is provided.更多还原