Implementation of digital filters in the residue number system

Kaplun, Dmitry; Gulvanskiy, V. V.; Klionskiy, Dmitry M.; Kupriyanov, M. S.; Veligosha, A. V.

doi:10.1109/eiconrusnw.2016.7448159

Cited by 6 publications

(7 citation statements)

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“…The calculation of the output sample in a separate unit of the modular digital filter reads in the form [12]…”

Section: Methodsmentioning

confidence: 99%

“…The choice of the form of the base system of the finite residue ring algebra was determined by the nature of the problem being solved and was given in [9,[12][13][14]. For the considered problem it was important to not simply justify the method of the base system selection, but also to determine the optimal structure for the developed DF.…”

Section: Methodsmentioning

confidence: 99%

“…The second group includes the methods and algorithms of digital filtering based on residue number codes. Multiple studies [11][12][13] have described the methods for constructing non-positional digital filters that are based on algebraic structures, possessing the properties of ring and field.…”

Section: Of 14mentioning

confidence: 99%

“…The scaling allowed us to reduce the hardware costs since the conversion of the output samples of the modular DF will be carried out not on 10 bases, but on the 6 bases 1 6 ,..., p p The applied scaling method has been described in detail in [12].…”

Section: Values Of the Coefficientsmentioning

confidence: 99%

“…First, we obtained the response of the positional digital filter ( Figure 5) Let us consider the situation of when the scaling method, proposed in [12], is used in the modular DF. In this case, the scaling factor is determined by the Equation (10) and for the selected RNS base system, it was To estimate the accuracy of calculating the output sample of the modular DF, it was necessary to multiply the obtained results by the correction factor [12]. The results of this estimation are shown in Figure 6.…”

Section: Values Of the Coefficientsmentioning

confidence: 99%

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Optimization of the FIR Filter Structure in Finite Residue Field Algebra

et al. 2018

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This paper introduces a method for optimizing non-recursive filtering algorithms. A mathematical model of a non-recursive digital filter is proposed and a performance estimation is given. A method for optimizing the structural implementation of the modular digital filter is described. The essence of the optimization is that by using the property of the residue ring and the properties of the symmetric impulse response of the filter, it is possible to obtain a filter having almost a half the length of the impulse response compared to the traditional modular filter. A difference equation is given by calculating the output sample of modules p1 … pn in the modified modular digital filter. The performance of the modular filters was compared with the performance of positional non-recursive filters implemented on a digital signal processor. An example of the estimation of the hardware costs is shown to be required for implementing a modular digital filter with a modified structure. This paper substantiates the expediency of applying the natural redundancy of finite field algebra codes on the example of the possibility to reduce hardware costs by a factor of two. It is demonstrated that the accuracy of data processing in the modular digital filter is higher than the accuracy achieved with the implementation of filters on digital processors. The accuracy advantage of the proposed approach is shown experimentally by the construction of the frequency response of the non-recursive low-pass filters.

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“…The calculation of the output sample in a separate unit of the modular digital filter reads in the form [12]…”

Section: Methodsmentioning

confidence: 99%