Error spectrum shaping in 2-d recursive digital filters using error feedback with quadrant-symmetric or antisymmetric coefficients
Takao Hinamoto, Naoki Kuroda, Toshitaka Kuma · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1999
This paper treats error spectrum shaping for two-dimensional recursive digital filters. A technique is developed to obtain the optimal error feedback coefficients that minimize the noise variance at the filter output. The error feedback coefficients are constrained to be quadrant-symmetric or antisymmetric in order to reduce the number of multiplications required to about one fourth. The optimal solution of the error feedback coefficients is characterized in closed form. A least-squares discrete space optimization procedure is then applied to obtain the optimal integer solution. This makes it possible to simplify the hardware and to reduce the implementation cost. Finally, a numerical example is given to demonstrate the effectiveness of the proposed technique. © 1998 Scripta Technica, Electron Comm Jpn Pt 3, 82(2): 37–47, 1999