RU2338249C1 - Rank sorter - Google Patents

Abstract

FIELD: computer engineering.

SUBSTANCE: providing simultaneous conversion of unsorted serial set of n+1 analog signals x₁, ...,x_n+1 into their parallel set sorted by their rank markers and conversion of unsorted parallel set of n+1 analog signals z₁,...,z_n+1 (z₁<x_j; i,j∈{1,...,n+1}) into their serial set sorted by their rank markers. The device consists of n+1 relators each one containing closing and opening keys, two devices for selection/storing, MIN-element, MAX-element, Boolean invertor.

EFFECT: device functionality enhancement.

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Description

The invention relates to automation and analog computing and can be used to build functional units of analog computers, means of automatic regulation and control, analog processors, etc.

Known rank sorters (see, for example, figure 1 in the description of the invention to the patent of the Russian Federation 2240598, CL G06G 7/25, 2004), which convert an unsorted parallel set of n + 1 analog signals into a sequential set sorted by their rank features these signals.

The reason that impedes the achievement of the technical result indicated below when using well-known rank sorters includes limited functionality, due to the fact that joint conversion of an unsorted parallel set of n + 1 analog signals into their sequential set sorted by their rank characteristics and conversion of unsorted sequential set are not performed other n + 1 analog signals in their parallel set sorted by their rank features.

The closest device of the same purpose to the claimed invention in terms of features is the rank sorter adopted for the prototype (Fig. 1 in the description of the invention to RF patent 2284573, class G06G 7/25, 2006), which contains n relators and converts unsorted sequential set of n + 1 analog signals x ₁ , ..., x _{n + 1} into a parallel set of these signals sorted by their rank characteristics.

The reason that impedes the achievement of the technical result indicated below when using the prototype is limited functionality due to the fact that joint conversion of an unsorted serial set of n + 1 analog signals x ₁ , ..., x _{n + 1} to their sorted by their to rank signs, a parallel set and conversion of an unsorted parallel set of n + 1 analog signals z ₁ , ..., z _{n + 1} (z _i <x _j ; i, j∈ {1, ..., n + 1}) into their sequential set sorted by their rank characteristics.

The technical result of the invention is to expand the functional capabilities by providing a joint transform unsorted sequential set of n + 1 analog signals x _1, ..., x _{n + 1} in their sorted by their ranking signs parallel set and converting unsorted parallel set n + 1 analog signals z ₁ , ..., z _{n + 1} (z _i <x _j ; i, j∈ {1, ..., n + 1}) into their sequential set sorted by their rank characteristics.

релятора подключен к g-му параллельному выходу рангового сортировщика, последовательный вход и первый, второй настроечные входы которого соединены соответственно с информационным входом первого релятора и объединенными первыми, объединенными вторыми управляющими входами всех реляторов, особенность заключается в том, что в него дополнительно введен аналогичный упомянутым (n+1)-й релятор, подключенный информационным входом и первым, вторым управляющими входами соответственно к первому выходу n-го релятора и первому, второму настроечным входам рангового сортировщика, i-й

параллельный вход и последовательный, (n+1)-й параллельный выходы которого соединены соответственно с опорным входом i-го и первым, вторым выходами (n+1)-го реляторов.The specified technical result during the implementation of the invention is achieved by the fact that in a rank sorter containing n relators, each of which contains a closing and opening keys combined by outputs, two sampling / storage devices, a MIN element, a MAX element and a Boolean inverter connected to the output and input, respectively the recording input of the first sample / storage device and the recording input of the second sample / storage device, the second control input of the relator, the first control input of which is formed by the control input of a closing, disconnecting key, in each relay the first, second inputs and the output of the MAX element are connected respectively to the second, first inputs of the MIN element and the information input of the second fetch / store device, connected by the output to the information input of the first fetch / store device, the output of which is connected to the input a disconnecting key connected by the output to the second input of the MIN element, the first input and output of which are connected respectively to the information input and the first output of the relator, the reference input and the second output to which are formed respectively by the input of the closing key and the output of the second sampling / storage device, the first output of each previous relator is connected to the information input of the subsequent relay, and the second output of the gth

the relator is connected to the gth parallel output of the rank sorter, the serial input and the first, second tuning inputs of which are connected respectively to the information input of the first relator and the combined first, combined second control inputs of all relators, the peculiarity is that it is additionally equipped with a similar (n + 1) -th relator connected by an information input and the first, second control inputs respectively to the first output of the n-th relay and the first, second tuning sorter moves rank, i-th

parallel input and serial, (n + 1) -th parallel outputs of which are connected respectively to the reference input of the i-th and first, second outputs of the (n + 1) -th relators.

In Fig.1 and Fig.2 presents respectively a diagram of the proposed rank sorter and timing diagrams of the tuning signals.

и первый выход релятора 1_n+1 подключены соответственно к i-му параллельному входу, i-му параллельному и последовательному выходам рангового сортировщика, последовательный вход и первый, второй настроечные входы которого образованы соответственно информационным входом релятора 1₁ и объединенными первыми, объединенными вторыми управляющими входами реляторов 1₁,..., 1_n+1.Rank sorter contains n + 1 relators 1 ₁ , ..., 1 _{n + 1} . Each relator contains a closing and opening keys 2 ₁ and 2 ₂ , a first and a second retrieval / storage device 3 ₁ and 3 ₂ , a MIN 4 element, a MAX 5 element and a Boolean inverter 6, the first, second inputs and output of element 5 being connected respectively to the second, first inputs of element 4 and the information input of the device 3 ₂ connected to the recording input and output respectively to the input of the inverter 6 and the information input of the device 3 ₁ , the recording input and output of which are connected respectively to the output of the inverter 6 and the input of the key 2 ₂ connected by the output to out to the key 2 ₁ and the second input of element 4, the first input and output of which are connected respectively to the information input and the first output of the relator, the reference input, the first, second control inputs and the second output of which are formed respectively by the input of the key 2 ₁ , the key control input 2 ₁ , 2 ₂ , recording input and device output 3 ₂ . The first output of each previous relator connected to data input subsequent relator, and a reference input, a second output relator 1 _i

and the first output of the relator 1 _{n + 1 are} connected respectively to the i-th parallel input, the i-th parallel and serial outputs of the rank sorter, the serial input and the first, second tuning inputs of which are formed respectively by the information input of the relator 1 ₁ and the combined first, combined second control inputs of relators 1 ₁ , ..., 1 _{n + 1} .

сигнала y₂ на последовательный вход рангового сортировщика подается аналоговый сигнал (напряжение) х_j>z₁,..., z_n+1 из несортированного последовательного набора сигналов x₁,..., x_n+1. Если y₁=1 (y₁=0), то ключ 2₁ замкнут (разомкнут), а ключ 2₂ разомкнут (замкнут). При y₂=1 (y₂=0) устройства 3₂ и 3₁ работают соответственно в режимах выборки (хранения) и хранения (выборки). Элементы 4 и 5 воспроизводят базовые операции бесконечнозначной логики (БЛ): соответственно БЛ-конъюнкцию (min) и БЛ-дизъюнкцию (max), то есть осуществляют выбор соответственно наименьшего и наибольшего из двух аналоговых сигналов, действующих на их входах. Тогда напряжения на первом и втором выходах релятора 1_i

будут определяться рекуррентными выражениямиThe work of the proposed rank sorter is as follows. An unsorted parallel set of analog signals (voltages) z ₁ , ..., z _{n + 1,} respectively, is fed to its first, ..., (n + 1) -th parallel inputs. Binary signals y ₁ , y ₂ ∈ {0,1} (Fig. 2) are respectively supplied to its first and second tuning inputs, and the duration Δt of a high level of signal y ₂ must satisfy the condition Δt >> (n + 1) τ, where τ is the duration of the delay introduced by element 4. During the period T _j

signal y ₂ , an analog signal (voltage) x _j > z ₁ , ..., z _{n + 1} from an unsorted serial set of signals x ₁ , ..., x _{n + 1} is supplied to the serial input of a rank sorter. If y ₁ = 1 (y ₁ = 0), then key 2 ₁ is closed (open), and key 2 _{2 is} open (closed). When y ₂ = 1 (y ₂ = 0), devices 3 ₂ and 3 ₁ operate respectively in the sampling (storage) and storage (sampling) modes. Elements 4 and 5 reproduce the basic operations of infinite-valued logic (BL): respectively, the BL conjunction (min) and the BL disjunction (max), that is, they select the smallest and largest of the two analog signals acting on their inputs, respectively. Then the voltage at the first and second outputs of the relator 1 _i

will be determined by recurrence expressions

и

and

есть номер момента времени t_j (фиг.2); V_i0=z_i; W_0j=x_j. В представленной ниже таблице приведены значения выражений (1) при n=3.where the symbols ∨ and · denote the operations max and min, respectively;

there is the number of time t _j (figure 2); V _i0 = z _i ; W _0j = x _j . The table below shows the values of expressions (1) for n = 3.

V ₁₁ = x ₁ V ₁₂ = x ₁ ∨x ₂ V ₁₃ = x ₁ ∨x ₂ x ₃ V ₁₄ = x ₁ ∨x ₂ ∨x ₃ ∨x ₄ W ₁₁ = z ₁ W ₁₂ = x ₁ x ₂ W ₁₂ = x ₁ x ₂ W ₁₄ = x ₁ x ₄ ∨x ₂ x ₄ ∨x ₃ x ₄ V ₂₁ = z ₁ ∨z ₂ V ₂₂ = x ₁ x ₂ V ₂₃ = x ₁ x ₂ ∨x ₁ x ₃ ∨x ₂ x ₃ V ₂₄ = x ₁ x ₂ ∨x ₁ x ₃ ∨x ₁ x ₄ ∨x ₂ x ₃ ∨x ₂ x ₄ ∨x ₃ x ₄ W ₂₁ = z ₁ z ₂ W ₂₂ = z ₁ ∨z ₂ W ₂₃ = x ₁ x ₂ x ₃ W ₂₄ = x ₁ x ₂ x ₄ ∨x ₁ x ₃ x ₄ ∨x ₂ x ₃ x ₄ V ₃₁ = z ₁ z ₂ ∨z ₃ V ₃₂ = z ₁ ∨z ₂ ∨z ₃ V ₃₃ = x ₁ x ₂ x ₃ V ₃₄ = x ₁ x ₂ x ₃ ∨x ₁ x ₂ x ₄ ∨x ₁ x ₃ x ₄ ∨x ₂ x ₃ x ₄ W ₃₁ = z ₁ z ₂ z ₃ W ₃₂ = z ₁ z ₂ ∨z ₁ z ₃ ∨z ₂ z ₃ W ₃₃ = z ₁ ∨z ₂ ∨z ₃ W ₃₄ = x ₁ x ₂ x ₃ x ₄ V ₄₁ = z ₁ z ₂ z ₃ ∨z ₄ V ₄₂ = z ₁ z ₂ ∨z ₁ z ₃ ∨z ₂ z ₃ ∨z ₄ V ₄₃ = z ₁ ∨z ₂ ∨z ₃ ∨z ₄ V ₄₄ = x ₁ x ₂ x ₃ x ₄ W ₄₁ = z ₁ z ₂ z ₃ z ₄ W ₄₂ = z ₁ z ₂ z ₃ ∨z ₁ z ₂ z ₄ ∨z ₁ z ₃ z ₄ ∨z ₂ z ₃ z ₄ W ₄₃ = z ₁ z ₂ ∨z ₁ z ₃ ∨z ₁ z ₄ ∨z ₂ z ₃ ∨z ₂ z ₄ ∨z ₃ z ₄ W ₄₄ = z ₁ ∨z ₂ ∨z ₃ ∨z ₄

Given the data given in the table, it is easy to derive direct expressions for V _{i (n + 1)} and W _{(n + 1) j} :

есть количество неповторяющихся БЛ-конъюнкций x_k(n+2-i)...x_k(n+1), определяемое как число сочетаний из n+1 по n+1-i;

есть количество неповторяющихся БЛ-конъюнкций z_kj...z_k(n+1), определяемое как число сочетаний из n+1 по j-1. При i=n+2-r выражение (2) совпадает с видом поисковой функции (функция (6.7) на стр.117 в книге Левин В.И. Бесконечнозначная логика в задачах кибернетики. М.: Радио и связь, 1982 г.), которая реализует алгоритм выделения из множества {x₁,..., x_n+1} элемента х^(r) заданного ранга r∈{1,..., n+1) (x⁽¹⁾≤...≤x⁽ⁿ⁺¹⁾; {x⁽¹⁾}U...U{x⁽ⁿ⁺¹⁾}={x₁,..., x_n+1}). При j=r выражение (3) совпадает с видом упомянутой поисковой функции, которая в этом случае реализует алгоритм выделения из множества {z₁,..., z_n+1} элемента z^(r) заданного ранга r∈{1,..., n+1}(z⁽¹⁾≤...≤z⁽ⁿ⁺¹⁾; {z⁽¹⁾}U...U{z⁽ⁿ⁺¹⁾}={z₁,..., z_n+1}). Таким образом, в момент времени t_n+1 на первом,..., (n+1)-ом параллельных выходах предлагаемого сортировщика и на его последовательном выходе в моменты времени t₁,...,t_n+1 соответственно имеем V_1(n+1)=x⁽ⁿ⁺¹⁾,..., V_(n+1)(n+1)=x⁽¹⁾ сортированный параллельный набор сигналов х₁,..., х_n+1 и W_(n+1)1=z⁽¹⁾,..., W_(n+1)(n+1)=z⁽ⁿ⁺¹⁾ сортированный последовательный набор сигналов z₁,..., z_n+1.where x _{k (n + 2-i)} ≠ ... ≠ x _{k (n + 1)} ∈ {x ₁ , ..., x _{n + 1} }; z _kj ≠ ... ≠ z _{k (n + 1)} ∈ {z ₁ , ..., z _{n + 1} };

there is the number of non-repeating BL conjunctions x _{k (n + 2-i)} ... x _{k (n + 1)} , defined as the number of combinations from n + 1 to n + 1-i;

is the number of non-repeating BL conjunctions z _kj ... z _{k (n + 1)} , defined as the number of combinations of n + 1 by j-1. For i = n + 2-r, expression (2) coincides with the form of the search function (function (6.7) on p. 117 in the book Levin V.I. Infinite-valued logic in cybernetics problems. M: Radio and communication, 1982) , which implements an algorithm for extracting from the set {x ₁ , ..., x _{n + 1} } an element x ^{(r) of a} given rank r∈ {1, ..., n + 1) (x ⁽¹⁾ ≤ ... ≤ x ^{(n + 1)} ; {x ⁽¹⁾ } U ... U {x ^{(n + 1)} } = {x ₁ , ..., x _{n + 1} }). For j = r, expression (3) coincides with the form of the mentioned search function, which in this case implements an algorithm for extracting from element {z ₁ , ..., z _{n + 1} } the element z ^{(r) of a} given rank r∈ {1 ,. .., n + 1} (z ⁽¹⁾ ≤ ... ≤z ^{(n + 1)} ; {z ⁽¹⁾ } U ... U {z ^{(n + 1)} } = {z ₁ , .. ., z _{n + 1} }). Thus, at time t _{n + 1} at the first, ..., (n + 1) -th parallel outputs of the proposed sorter and at its sequential output at times t ₁ , ..., t _{n + 1,} respectively, we have V _{1 (n + 1)} = x ^{(n + 1)} , ..., V _{(n + 1) (n + 1)} = x ⁽¹⁾ sorted parallel set of signals x ₁ , ..., x _{n + 1} and W _{(n + 1) 1} = z ⁽¹⁾ , ..., W _{(n + 1) (n + 1)} = z ^{(n + 1)} sorted sequential set of signals z ₁ , ..., z _{n + 1} .

The above information allows us to conclude that the proposed rank sorter has wider functionality compared to the prototype, as it provides joint conversion of an unsorted sequential set of n + 1 analog signals x ₁ , ..., x _{n + 1} into their sorted by their rank featured a parallel set and conversion of an unsorted parallel set of n + 1 analog signals z ₁ , ..., z _{n + 1} (z _i <x _j ; i, j∈ {1, ..., n + 1}) into their sorted according to their rank attributes, a sequential set.

Claims (1)

Rank sorter containing n relators, each of which contains closing and opening keys combined by outputs, two fetch / store devices, MIN element, MAX element and Boolean inverter connected to the output and input respectively to the recording input of the first fetch / storage device and the recording input of the second sampling / storage device, the second control input of the relator, the first control input of which is formed by the control input of the closing, opening keys, in each relay the first, second inputs and output element and MAX are connected respectively to the second, first inputs of the MIN element and the information input of the second fetch / store device, connected by an output to the information input of the first fetch / store device, the output of which is connected to the input of the disconnecting key, connected by the output to the second input of the MIN element, the first input and the output of which is connected respectively to the information input and the first output of the relator, the reference input and the second output of which are formed respectively by the input of the closing key and the output of the second device and sampling / storage, the first output of each previous relator is connected to the information input of the subsequent relator, and the second output of the gth

the relator is connected to the gth parallel output of the rank sorter, the serial input and the first, second tuning inputs of which are connected respectively to the information input of the first relator and the combined first, combined second control inputs of all relators, characterized in that it is additionally inputted similar to the mentioned (n +1) -th relator connected to the information input and the first, second control inputs respectively to the first output of the nth relator and the first, second tuning inputs of ranks th sorter, i-th

parallel input and serial, (n + 1) -th parallel outputs of which are connected respectively to the reference input of the i-th and first, second outputs of the (n + 1) -th relators.

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