Improving calculation accuracy of digital filters based on finite field algebra

Abstract

The applications of digital filters based on finite field algebra codes require their conjugation with positional computing structures. Here arises the task of algorithms and structures developed for converting the positional notationcodes to finite field algebra codes. The paper proposes a method for codes conversion that possesses several advantages over existing methods. The possibilities and benefits of optimization of the computational channel structure for digitalfilter functioning based on the codes of finite field algebra are shown. The modified structure of computational channelis introduced. It differs from the traditional structure by the fact that there is no explicit code converter in it. Themain principle is that the "reference" values of input samples, which are free from the error of the analog-digital converter, are used as input samples. The proposed approach allows achieving a higher quality of signal processingin advanced digital filters