SU647683A1 - Single-digit number squaring arrangement - Google Patents

Description

belt frequency, the outputs of the first and second differential frequency mixers are connected respectively to the inputs of the first and second frequency filters, the outputs of which are connected respectively to the inputs of the first and second frequency multipliers, the outputs of which are connected respectively to the first inputs of the first and second frequency mixers; second inputs which are connected to the output of the frequency shaping unit of the first and second summing frequency mixers are, respectively, the first and second outputs of the device. Fig. 1 shows a compressed scheme of the proposed device, and Figures 2-6 are frequency diagrams of its operation. The device contains (Fig. 1), a block for the third: the first bit of the square of the initial number 1, the block of formation of the lower bit of the square of the original number 2s first and second frequency mixers 3.4: first and Second frequency filters 5, 6, the first and second frequency multipliers 7, 8, the first and second summing frequency mixers-. 9, 10, a shift frequency shaping unit 11, a variable frequency pulse shaping unit 12,: Quad operation Let us consider an example of squaring numbers in the fourfold () number system of the 4eTefejD iHofi system, digits are encoded as follows; О 1о, 1-ij, S-ig ..З. The quadrator has one VHBD, a signal with a frequency f, (7: corresponding to the X number squared and two outputs, from which signals with frequencies I Ijj. Corresponding to the highest and least significant numbers of the quadrant; The initial number of X, The table below shows: the values of these bits. For all possible X ... The signal with frequency i. (in FIG. 2a, all possible values of this frequency are proved) corresponding to the number X being squared, goes to the inputs of the blocks forming the high and low bits of the square of the number X. In each the house of these blocks is the signal from the input of the submersible to the 1st input of the differential mixer (3.4). The second input of this differential mixer is supplied with the corresponding groups of variable frequency pulses, namely, in block I the first group of pulses, and in block 2 group of pulses (Fig. 2b, c). These groups of pulses are formed in a block forming variable pulse frequency groups 12, and are removed, respectively, from the 1st and 2nd output of this block. The groups of pulses are formed in such a way that the deviation of the group's asthto from frequency i Shropor is ionic for the first group - the value of the high bit of the square of the number X, and for the second group of the low bit of the square of the number of X. ) it can be seen that the proportionality coefficient is chosen to be equal, where the other is the frequency interval between the input frequencies ko 5i and 4 In accordance with this rule, and also taking into account the values of the high and low bits of the square of the number X From the table. jj is determined by the frequencies for both groups: for the t -f-j-faf Af group, f 2 2, and for the 2 group - f d + d, f +24 f., f g BJ yfg + gAf. In the spectra of the signals taken from the outputs of the difference mixers (3 and 4) there are Frequencies, which are the difference I x and the frequencies of group 1 and group 2 .. - .. In FIG. 3, 4, S, 6 shows the frequency diagrams of the quad operation in cases where different frequencies fjj ijj are present at the input — FIG. 3, f -fig. 4c, f -fig.5 g, i0, FIG. .6d, Diagram a in each case shows the frequency present at the input, and diagrams b. and in the first and rubbed frequency, mesh. The diagrams d and d show the spectra of the signals at the output of mixers 3 and 7, respectively. Next, in each of the blocks, the signal from the mixer output goes to the input of filters | 5 and 6 respectively in the 1st

and 2nd block) having a frequency response shown in diagram e. A signal is output from filter 5 whose frequency is proportional to the value of the high bit of the square of X (diagram g) and the frequency of the output of filter 6 is proportional to the value of the lower bit yes the square of the number X (diagram a).

However, if these signals are sent directly to the output of the circuit, then there will be an ambiguity in the coding of the input and output signals. To adjust the output signal frequencies, the following transformations are performed in accordance with the original coding system. In each block, the filter output signal (5 and b) is fed to frequency multiplier 7 and 8 with a multiplication factor (diagrams and and k). From the output of the multiplier, the signal goes to the first output of the summing mixer (9 and 10), to the second input of which the shear frequency i bv - i o i is applied, thereby shifting the signal to the original frequency range (diagram l. M)

As a result, at output 1, we obtain the frequency corresponding to the value of the higher bit of the number X (diagram l), and at output 2, the frequency c6 from 1b is the value of the lower breakdown X (diagram m). ;

The scheme of the proposed quadrator does not depend on which number system belongs to the number being squared. This circumstance takes on particular importance for number systems with a base of 1O, since in conventional matrix circuits, in this case, a significant increase in the number of equipment is required;

The proposed quadrator can be implemented on the basis of serially effected elements, built with fusion integrated hybrid technology, providing a speed of several megahertz.

Claims (2)

1. Multistable elements and their application under re, Sigorsky V.P., Sov. radio, M., 1971, 2. USSR author's certificate, № 338899, cl. Q About R 7/52. 1972, Out /g./ Fig.b FIG.