Title :
2-D state-space digital filters with error spectrum shaping
Author :
Hinamoto, Takao ; Karino, Shuji ; Kuroda, Naoki
Author_Institution :
Fac. of Eng., Hiroshima Univ., Japan
Abstract :
This paper treats error spectrum shaping in 2-D state-space digital filters. A technique is developed for reducing roundoff noise by means of N-order diagonal error feedback consisting of a FIR digital filter. The reduction of roundoff noise is carried out by minimizing a quadratic form. The optimal solution is then obtained analytically in a closed form. A numerical example is also given to illustrate the utility of the proposed technique
Keywords :
feedback; filtering theory; roundoff errors; state-space methods; two-dimensional digital filters; 2D state-space digital filters; FIR digital filter; N-order diagonal error feedback; error spectrum shaping; quadratic form minimisation; roundoff noise reduction; Digital filters; Electronic switching systems; Finite impulse response filter; IIR filters; Linear matrix inequalities; Low pass filters; Noise reduction; Noise shaping; Quantization; State feedback;
Conference_Titel :
Circuits and Systems, 1996. ISCAS '96., Connecting the World., 1996 IEEE International Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3073-0
DOI :
10.1109/ISCAS.1996.541838