The accuracy of hardware realization of transformation vector's rotation
UDC
[004.3+681.3]: 619.67Abstract
Development of algorithms and designing of devices for their realization are the important factor of increase of productivity of computing systems. Earlier the author had been submitted algorithm of inversion of a divider and application of algorithm for performance of normalization of a vector. Then the description of devices of normalization of a vector has been given and research of their accuracy is made. The device of normalization of a vector is a component of the device of vector’s rotation. The process of accumulation of errors in calculations investigated in the device of vector’s rotation by methods of the numerical analysis. The addition younger bits allocated for restriction of growth of errors in this device on adders for a mantissa to the basic bits. As a result of investigations the attitudes of between numbers of the basic and additional bits are established.
Keywords:
machine number, algorithm, convergence, regularity, profitability, device of vector’s rotation, error of calculationReferences
- Сверхбольшие интегральные схемы и современная обработка сигналов / Под ред. С. Гуна, Х. Уайтхауса, Т. Кайлата. М.: Радио и связь, 1989. 345 с. [Gun S., Uaythaus H., Kaylat T. (Eds.) Sverhbolshye integralnye shemy i sovremennaja obrabotka signalov [VSLI and Modern Signal Processing]. Moscow, Radio i svjaz', 1989, 345 p. (In Russian)]
- Бабенко В.Н. Способ повышения скорости сходимости процесса аннулирования одной компоненты двумерного вектора преобразованиями псевдовращения // Известия вузов. Сев.-Кавказ. регион. Технические науки. 2009. Спец. выпуск. С. 33-43. [Babenko V.N. Sposob povyshenija skorosti shodimosti processa annulirovanija odnoj komponenty dvumernogo vektora preobrazovanijami psevdovrashenija [The Way of increase speed of convergence process of nulling one component of binariate vector by transformation of psevdorotation]. Izvestija vuzov. Severo-Kavkazskij region. Tehnicheskie nauki [Proc. of the Universities. North-Caucasian region. Engineering], 2009, Spets. vypusk [Special Iss.], pp. 33-39. (In Russian)]
- Бабенко В.Н. Представление инверсии делителя в мультипликативной форме и ее применение // Известия вузов. Сев.-Кавказ. регион. Технические науки. 2010. № 6. С. 33-37. [Babenko V.N. Predstavlenie inversii delitelja v mul'tiplikativnoj forme i ee primenenie [View inversion of the divisor in a multiplicative form and its application]. Izvestija vuzov. Severo-Kavkazskij region. Tehnicheskie nauki [Proc. of the Universities. North-Caucasian region. Engineering], 2010, no. 6, pp. 33-37. (In Russian)]
- Бабенко В.Н. Алгоритм инверсии делителя // Экологический вестник научных центров Черноморского экологического сотрудничества. 2013. №4. Т. 1. С. 19-25. [Babenko V.N. Algoritm inversii delitelja [Inversion algorithm ivider]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekologicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2013, no. 4, vol. 1, pp. 19-25. (In Russian)]
- Бабенко В.Н. Накопление погрешностей при аппаратурной реализации алгоритма нормировки // Экологический вестник научных центров Черноморского экологического сотрудничества. 2014. № 2. С. 5-12. [Babenko V.N. Nakoplenie pogreshnostej pri apparaturnoj realizacii algoritma normirovki [Accumulation of errors at hardware realization of algorithm of normalization]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekologicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2014, № 2, pp. 5-12. (In Russian)]
- Годунов С.К. Решение систем линейных уравнений. Новосибирск: Наука, 1980. 177 с. [Godunov S.K. Reshenie sistem linejnyh uravnenij [Solution of systems of linear equations]. Novosibirsk, Nauka Publ., 1980, 177 p. (In Russian)]
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