Title :
A class of systolizable IIR digital filters and its design for proper scaling and minimum output roundoff noise
Author :
Lei, Shaw-Min ; Yao, Kung
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
10/1/1990 12:00:00 AM
Abstract :
A class of infinite impulse response (IIR) digital filters with a systolizable structure is proposed and its synthesis is investigated. The systolizable structure consists of pipelineable regular modules with local connections and is suitable for VLSI implementation. It is capable of achieving high performance as well as high throughput. This class of filter structure provides certain degrees of freedom that can be used to obtain some desirable properties for the filter. Techniques of evaluating the internal signal powers and the output roundoff noise of the proposed filter structure are developed. Based upon these techniques, a well-scaled IIR digital filter with minimum output roundoff noise is designed with a local optimization approach. The internal signals of all the modes of this filter are scaled to unity in the l2-norm sense. Compared to the Rao-Kailath (1984) orthogonal digital filter and the Gray-Markel (1973) normalized-lattice digital filter, this filter has better scaling properties and lower output roundoff noise
Keywords :
VLSI; digital filters; filtering and prediction theory; pipeline processing; roundoff errors; systolic arrays; IIR digital filters; VLSI implementation; high throughput; infinite impulse response; internal signal powers; local connections; local optimization; minimum output roundoff noise; pipelineable regular modules; scaling properties; systolizable structure; Algorithm design and analysis; Digital filters; Digital signal processing; IIR filters; Lattices; Signal design; Signal processing algorithms; Signal synthesis; Transfer functions; Very large scale integration;
Journal_Title :
Circuits and Systems, IEEE Transactions on
