trudyniisiТруды НИИСИSRISA Proceedings2225-73493033-6422НИЦ «КУРЧАТОВСКИЙ ИНСТИТУТ» - НИИСИ10.25682/NIISI.2025.3.0001trudyniisi-115Research ArticleИСКУССТВЕННЫЙ ИНТЕЛЛЕКТ И МАШИННОЕ ОБУЧЕНИЕARTIFICIAL INTELLIGENCE AND MACHINE LEARNINGФормирование матрицы проводимостей с помощью кусочно-постоянных сигналовCrossbar Array Programming Using Piecewise-Constant SignalsБесхлебноваГ. А.BeskhlebnovaG. A.beskhlebnova@niisi.ras.ruКотовВ. Б.KotovV. B.v1111111k1111@gmail.comНИЦ «Курчатовский институт» - НИИСИ, МоскваРоссия202528122025153ТРУДЫ НИИСИ. МАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ СЛОЖНЫХ СИСТЕМ: ТЕОРЕТИЧЕСКИЕ И ПРИКЛАДНЫЕ АСПЕКТЫ916Copyright © Бесхлебнова Г.А., Котов В.Б., 20252025Бесхлебнова Г.А., Котов В.Б.Beskhlebnova G.A., Kotov V.B.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.t-niisi.ru/jour/article/view/115

Для формирования матрицы проводимостей массива переменных резисторов необходима процедура произвольного изменения проводимостей резисторов массива при использовании ограниченного числа управляющих сигналов — напряжений на проводниках структуры типа кроссбар. Поскольку число проводников значительно меньше числа резисторов, такая процедура должна быть многошаговой. На каждом шаге происходит изменение проводимостей целевых резисторов, число которых не больше числа управляющих сигналов. При этом неизбежно меняются проводимости и некоторых нецелевых резисторов. Соответствующие изменения необходимо компенсировать. В работе рассмотрена процедура записи с использованием в качестве управляющих сигналов высокочастотных кусочно-постоянных сигналов. На основе анализа с использованием модели простого резисторного элемента показана возможность формирования произвольной (в известных пределах) матрицы проводимостей. На каждом шаге формируется (изменяется) строка или столбец матрицы. Обсуждаются условия, обеспечивающие выполнимость и удобство такой процедуры.

To program a crossbar array, we need to adjust the resistor conductance using a limited number of control signals, which are voltages applied to the crossbar lines. Since the number of lines is significantly smaller than the number of resistors, this is a multi-step procedure. At each step, the conductances of the selected resistors are adjusted. The number of such resistors is no greater than the number of control signals. This inevitably changes the conductivity of some half-selected resistors, too. These unwanted changes must be compensated for. We examined a crossbar programming procedure using high-frequency piecewise-constant control signals. Our analysis involved a simple resistive element model. We demonstrated that an arbitrary (within known limits) conductance matrix can be programmed. At each step, a row or column of the crossbar array is generated or adjusted. We discussed the feasibility and convenience of such a procedure.

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The authors declare that there are no conflicts of interest present.