SU1661799A2 - Device for root-mean-square values calculation - Google Patents

Abstract

The invention relates to automation and computing and can be used in various analog or digital-analog radio systems for estimating the length of a vector by quadrature components, in solving coordinate transformations, for determining the amplitude of a signal, etc. The device contains two allocation modules module, allocation unit a minimum signal; three maximum signal extraction units; a voltage divider; and two adders. The device generates an approximate estimate of the square root of the sum of the squares of the two quantities using weighted summation of the quadrature modules. The rms error of the device does not exceed 0.2%. 1 il.

Description

The invention relates to automation and computing, can be used in various analog radio systems for estimating the length of a vector by quadrature components, in solving problems of coordinate transformation, for determining the amplitude of a signal, and is an improvement of the device according to the author. No. 957228.

The purpose of the invention is to improve the accuracy of the device.

The drawing shows a block diagram of the device.

The device contains the first 1 and second 2 module allocation units, the first 3, the second 4 and the third 5 blocks for selecting the maximum module, the minimum signal extracting unit 6, the voltage divider 7, the three-input 8 and the additional 9 adders.

The device works as follows.

The first and second inputs of the device, which are, respectively, the inputs of the first 1 and second 2 blocks of the module allocation, are fed to the input signals x and y, and the signal | x | , and at the output of the block 2-signal | y |. At the output of the first block 3, the maximum signal is obtained signal

(x |, lyl),

and the output of the minimum signal extraction unit 6 is a signal

t min (| x |, lyl),

These signals arrive respectively at the first and third inputs of the adder 8, where they are summed up with the coefficients Ki and Kz, as well as additionally at the first and second inputs of the adder 9, where they are summed up respectively with the coefficients KB and KB. In addition, the output signal from the first block 3 of the selection of the maximum signal passed voltage divider 7 with a coefficient

Os

VI Yu Yu

Yu

dividing, is fed to the first input of the second signal extraction unit 4, the second input of which is supplied with the signal m from the signal extraction unit 6 of the minimum signal. Thus, at the output of the first signal extraction unit 4, the signal is max (K4 M, m). This signal is fed to the second input of the adder 8, where it is summed with the coefficient K2.

The third block of selection of the maximum signal 5 separates the maximum of the three voltages applied to its inputs from the output of the first block 3 of the selection of the maximum signal and from the outputs of the adders 8 and 9. The signal at the output of the third block 5 of the selection of the maximum signal is an approximate estimate of

X + Y2

and is equal to

Z max {M, K | M + Kzt + K2 max (K4 M, t), KsM + Ke t}.

For most practical tasks, it is necessary that the estimation with different x and y be effective, i.e. would have minimal variance. Ki-Ke coefficients are equal.

Ki 0.782; K2 0.401; Cs 0.223;

Q4 0.481; Ks 0.901; Ke 0.434.

With these coefficients, the mean value of the estimate Z and its dispersion are respectively

0

five

0

five

0

, 998Zo, О2-3.576-10 6 Zo2 From this relation it follows that the relative mean square error of the device is

 Iq o / z z0 uj9

The maximum and minimum values of the evaluation are

 ; , 994 Zo.

The relative maximum deviations of the estimate from the mean value do not exceed the values

, 2% and 4%.

Claims (1)

The invention The device for extracting the square root of the sum of the squares of two quantities according to auth.St. No. 957228, characterized in that, in order to improve the accuracy, a third maximum signal extractor and an additional adder connected by a first input to the output of the minimum signal extractor are entered into it, and a second input to the output of the first extractor maximum signal and the first input of the third block extracting the maximum signal connected by the second and third inputs to the outputs of the three-input and additional adders, respectively, and the output connected to the output of the device,