SU1239727A1 - Device for performing spectral analysis - Google Patents

Abstract

The invention relates to specialized computing equipment for determining the characteristics of binary-non-stationary random processes. The purpose of the invention is to expand the functionality by calculating the mutual Walsh spectrum and its real and imaginary parts. The block diagram of the device contains N (bipolar) keys (N is the number of the transformation), the generator of the Walsh functions, integrators, groups of blocks of globalization, a group of adders. The operation of the device is based on the existing communication between the arithmetic mutual correlation function and the Walsh mutual spectrum. 1 il. (L with 1C with: about 1C

Description

The invention relates to specialized computer equipment for determining the characteristics of dual-non-stationary random processes.

 The purpose of the invention is to expand the functionality by calculating the mutual Walsh spectrum and its real and imaginary parts,

The drawing shows a block diagram of a device for spectral analysis.

1239727 S.

a, p (t)) wai (p, t)

 . .- one; N 2

five

Wai () - Walsh-Kaczmazha functions;

O is the sign of the add operation

modulo two; p is the number of cyclic 10 shift;

 - the whole part. Accordingly, the mutual Walsh power spectrum of the processes x (t) and y (t) is the sum of two terms. The scheme contains N (bipolar) key, the first of which is 1 (N is the number of the transformation) , by the Walsh form of Vm (c), isomorphically displays the real, and the second, the imaginary parts of the mutual Fourier spectrum.

20 In turn, the relationship between the estimate of the mutual arithmetic correlation function R ((f) of the processes x (t) and y (t) and the mutual logical

non-generator 2 Walsh functions, N integrators 3, groups of blocks 4 and 5 summation, group of (two-input) adders 6.

The operation of the device is based on the existing connection between the arithmetic mutual correlation function R and the Walsh mutual spectrum M ,, „. As known.

the correlation function Rutz (t) of these 25 processes can be phased out in a matrix form as follows: - 1 -

 I and the matrix without a constant component has the form

-

1239727 S.

the correlation function Rutz (t) of these 25 processes can be phased out in a matrix form as follows: - 1 -

O 3/4 2/4 1/4 O 3/4 2/4 1/4 O 1/4 -2/4 -1/4 O 1/4 -2/4 -1/4 O -1/4 - 2/4 1/4 O -1/4 -2/4 1/4 O -3/4 2/4 -1/4 O -3/4 2/4 -1/4

In turn, the coefficients of decomposition C (Sc on matrices and L can be expressed in terms of the Walsh coefficients C. Then from (2) the real part Rg of the mutual Walsh spectrum is

e.) RwRxij, and mn-im 1 part

I w

W X1 |

F RX ,,

-Nlrxj

Applying to (3) (4) the identity relation WW Е (the identity matrix) has

correlation function. (), Simultaneously with the clock frequency on the device operation, the following occurs:

 The input of the device, which connects the equal inputs of keys 1 from the generator to the information inputs of the keys of the torus 2 Walsh function, goes to voltage 1, and ordinates arrive at the clock frequency in the form of analog voltage

2/4 -3/4 2/4 -3/4 2/4 -1/4 2/4 -1/4 2/4 1/4 2/4

2/4 / 4

one

1/4 3/4 3/4

.-.

one

N WR, (PR ,, C;

L w- ra ;; i9 with ;;;;:

where (- Walsh coefficients

from

Ryy are the connection matrices between Suu and the conversion coefficients for P — the communication matrix between C and the conversion coefficients for L. N 8. The communication matrices are

correlation function. () Simultaneously with the clock frequency of the up-downs that vary according to the law of Walsh functions, as a result of which the keys 1 either repeats the input voltage, if there is a voltage on the control input of the keys, 1, or an inverting voltage the control input is zero. The voltages thus transformed from the outputs of the keys 1 are fed to the inputs of the integrators 3. This transformation takes place during the time T., where T is the interval of setting the Walsh functions. At the end of time T, the output of the integrators 3 contains voltages proportional to the coefficients C). These voltages are applied in accordance with the type of matrices i and 9 to the corresponding inputs of summation blocks 4 and -5, where they are summed up in accordance with the weights of the row elements of the FE and F matrixes, with the result that voltages proportional to the real part of the mutual spectrum RgWyij, and at the outputs of the second group of summation blocks 5 - the imaginary part of the mutual Walsh spectrum. Thus, for example, to form R.gW. so that the voltage at the output of this block is equal to N 8

s. .ax / VW

where and,, Ug ,, and

VHZ

voltage off

Dov of the first, second and sixth integrators 3, which are proportional, C (i), T.e. Cyd), CJ2), CJ6).

t 2G -2 T b T

The sum of the same values is valid. and imaginary I (j Wj, parts to .Topax 6 at their output, get the ordinates of the mutual Walsh spectrum

W

, y (i) ReW, (i) + i “w, y (i).

j 10 15 20 25 DA

five

Q

As a generator of Walsh functions, a parallel generator circuit is used, consisting of a binary counter and addition modulo two.

Claims (1)

Invention Formula A spectral analysis device containing N integrators (N is the conversion size), the i-ro input (i 15 N) of the integrator is connected to the i-ro output of the key, the control input of which is connected to the output of the i-th Walsh function of the Walsh function generator, and the information inputs of the keys are connected and are the information input of the device, so that, in order to expand the functional possibilities by calculating the mutual Walsh spectrum and its real and imaginary parts, the first, two, and second groups of blocks are added vani, and a group of adders, moreover, the output of the i-ro integrator is connected to the i-th inputs of the summation blocks of the first and second group, and the outputs ix of the summation blocks of the first and second groups are connected respectively to the first and second inputs of the i-ro adder group, out: One of which is the output of the Walsh component of the device. Shooter A. Baranov. Editor E, Papp Tehred O. Sopko Proofreader E. Sirohman Order 3398/50 Circulation 671 Subscription VNIIPI USSR State Committee for inventions and discoveries 113035, Moscow, Zh-35, Raushsk nab, 4/5 Production and printing company, Uzhgorod, st. Project, 4 W) (y {0) W) (y (1} V / W {H-1)