Title :
An improved ρDFIIt structure for digital filters with minimum roundoff noise
Author :
Li, Gang ; Wan, Chunru ; Bi, Guoan
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
fDate :
4/1/2005 12:00:00 AM
Abstract :
In this brief, a new efficient digital filter structure with minimum roundoff noise is derived. This structure can be block-diagrammed as the recently proposed direct-form II transposed (DFIIt) structure in ρ-operator, denoted as ρDFIIt, in which the first-order ρ operators are replaced with a set of second-order operators. The corresponding expression for the roundoff noise gain is obtained. The problem of how to choose these second-order operators is investigated in terms of minimizing the roundoff noise gain. Two design examples are given to illustrate the excellent performance of the proposed structure and to confirm the theoretical analysis.
Keywords :
digital filters; mathematical operators; noise; polynomials; digital filters; direct-form II transposed structure; finite word length; improved ρDFIIt structure; minimum roundoff noise; polynomial parametrization; roundoff noise gain; second-order operators; Bandwidth; Bismuth; Degradation; Digital filters; Equations; Helium; Low pass filters; Noise reduction; Performance analysis; Polynomials; Direct-form II transposed (DFIIt) structures; finite word length (FWL) effects; polynomial parametrization; roundoff noise gain;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.842416