Oblique generalizations of the Walsh basis

Ismagilov, I. I.

doi:10.3103/s0735272710120010

Cited by 7 publications

(1 citation statement)

References 3 publications

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“…It should be noted that a wide application during the solution of a number of DSP problems are found by DOT in various ordered systems of discrete Walsh functions [4][5][6][7]. A number of generalizations is proposed concerning the systems of discrete Walsh functions for the use in DSP, including the oblique-angled variants, among which we note [8][9][10][11][12][13]. The efficiency of discrete transformation application with respect to Walsh discrete function systems and their generalizations in DSP is related to the high speed of corresponding fast transformation algorithms.…”

Section: Introductionmentioning

confidence: 99%

General method of synthesis by PLIC/FPGA digital devices to perform discrete orthogonal transformations

Ismagilov

Khasanova

Zakharov

et al. 2018

J. Fundam and Appl Sci.

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A general method is proposed to synthesize digital devices in order to perform discrete orthogonal transformations (DOT) on programmable logic integrated circuits (PLIC) of FPGA class. The basic and the most "slow" operation during DOT performance is the operation of multiplying by a constant factor (constant)-OMC. To perform DOT digital devices are implemented at the use of the same type of IP-cores, which allow to realize OMC. According to the proposed method, OMC is determined on the basis of picturing set over the elements of the Galois field. Due to the distributed computing of nonlinear polynomial function systems defined over the Galois field in PLIC/FPGA architecture, the reduction in the estimates of time complexity concerning OMC performance is achieved. Each non-linear polynomial function, like OMC, is realized on the basis of the same type of IP-cores according to one of the structural schemes in accordance with the requirements for the device to perform DOT. The use of IP cores significantly reduces the cost of designing a device that implements DOT in the PLIC/FPGA architecture.

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Section: Introductionmentioning

confidence: 99%

General method of synthesis by PLIC/FPGA digital devices to perform discrete orthogonal transformations

Ismagilov

Khasanova

Zakharov

et al. 2018

J. Fundam and Appl Sci.

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Algorithms of quasi evaluation of polynomial trend of the digital signals based on oblique discrete walsh transformations

Ismagilov

Khasanova

2016

2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)

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Optimization of Interaction of Industrial Enterprises and Marketing Network

Ajupov¹,

Kurilova²,

Ivanov³

2015

ASS

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The article is devoted to the economic and mathematical optimization of the inter-action of industry and trade and supply chains. The main optimization criteria are the minimization of costs goods-movement, minimizing the time of delivery of goods, maximizing boot storage and transport facilities. Formed by the interaction of an optimization algorithm, which allows to determine the appropriate scope of supply and the optimal size of the order, to find the optimal supply chain and calculate the parameters of the supply and movement of goods.

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Oblique generalizations of the Walsh basis

Cited by 7 publications

References 3 publications

General method of synthesis by PLIC/FPGA digital devices to perform discrete orthogonal transformations

General method of synthesis by PLIC/FPGA digital devices to perform discrete orthogonal transformations

Algorithms of quasi evaluation of polynomial trend of the digital signals based on oblique discrete walsh transformations

Optimization of Interaction of Industrial Enterprises and Marketing Network

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