SU1619242A1 - Generator of basic function systems - Google Patents

Abstract

The invention relates to automation and computing and can be used in the analysis and synthesis of signals in information transmission systems. The aim of the invention is to extend the functionality of the generator by generating systems of functions of arbitrary dimension. The generator contains counters 6.7, shift registers 8, elements 9, and adder 10 modulo two. The order of connecting the bit inputs of the number of the generator function system to the bit inputs of the shift registers, as well as controlling the counting coefficient of the counters from the input of setting the dimension of the system of generator functions, makes it possible to form a system of functions of arbitrary dimension. 3 il. S8

Description

The invention relates to automation and computing and can be used in the analysis and synthesis of signals in information transmission systems.

The aim of the invention is to extend the functionality of the generator by generating systems of derivative-dimension functions.

FIG. 1 is a functional diagram of the generator for FIG. 2 - timing diagrams for explaining the operation of the generator of systems of basic functions; Fig. 3 shows the system of basic functions (), which is generated by the generator when the code number 1110000 is fed to the input of the system number of functions.

The generator contains input 1 of the number of the system of functions, clock input 2, input 3 of the dimension of the system of functions, functional output 4, output 5 of the function number, counters 6 and 7, shift registers 8, elements 9 and adder 10 modulo two.

The proposed generator of systems of basic functions implements a method of forming basic functions through the product of n generating functions (in the case of forming systems of Walsh functions — Rademacher functions) in accordance with the expression:

d; (i)

 F

J p to

, N-1,

where d) (j) is the value of the ith bit in the binary representation of the index j of the generated function F,, 2, ..., n; n log2N, where} is the rounding operation towards the larger integer d; ,, 1, ..., p-1. The constituents of the function F ,, are determined by setting N samples of the generator F according to the expression:

F (K, S) F (1, K-S) modN, where S is the reference number of the function,, N-1,

FIG. 2 shows the following voltage plots: clock input (a) output of the last discharge of counter 6 (b); output of the first bit 7 (c) output of the second bit of the counter 7 (g); the output of the third digit of the counter 7 (d) the output of the first digit of the register 8, shift (e); output of the first bit of register 8 shift (s); first exit

five

0

five

0

five

0

five

0

five

bit register 8 "shift (k); functional output of the generator (l).

The generator works as follows.

Counter 6 counts the clock pulses arriving at its input and generates a period that determines the duration (dimension) of the generated function Fj. At the beginning of each period (at the front of the overflow pulse of counter 6), the state of input 1 of the number of the function system is polled, which is fixed in the shift registers 8, and the registers are switched to the shift mode of the information recorded in them (towards the least significant bits), forming the function F (Fig. 2e) at the output of the first digit of the shift register 8, forming the function F (Fig. 2i) at the output of the first bit of the shift register 82 and forming the function F4 at the output of the first bit of the 8 shift register (Fig. 2k). From the outputs of the first bits n of the 8 shift registers, the constituent functions F19 Fz and F4 are fed to the inputs of elements AND 9, where an action equivalent to raising to a power of 0 or 1 is performed on them, depending on the value of the signal fed to another input of elements AND of the bit outputs of counter 7, which performs the binary decomposition of the index of the generated function F. Modulator two at modulator 2 produces the values of the generated function F: (Fig. 2l).

The change in the dimension of the generated system of functions (the number of functions in the system and the number of samples of the function in the existence interval) is carried out by changing the conversion factors of the second and first counters, respectively. The conversion factors for these counters are controlled by input 3.

Claims (1)

Invention Formula The generator of systems of basic functions containing two counters, n shift registers (, 2Nj, where N is the dimension of the system of functions, f-y is the operation of rounding towards a larger integer) jn elements AND, the modulo two, and the counting input of the first counter is The clock input of the generator is connected to the clock inputs of all shift registers, the overflow output of the first counter is connected to the counting input of the second counter, with the control inputs for recording all the shift registers, the serial output of the 1st (, n) shift register the first input of the 1st member and the second counter output is output funkschta generator room bitwise coupled to second inputs of respective AND gates, the outputs of AND gates are connected to respective inputs of adder modulo two sum output modulo two is the information output of the generator, in order to expand the functionality of the generator by generating systems of functions of arbitrary dimension jth (, N-1) the bit input 1 shift register is connected to Yu () modN3 M with a bit input of the number of the generator function system, the inputs of the first and second counter counting coefficient settings are connected to the input of the dimension of the generator function system. b in y d e and to l gi 2 012 J, 4  ; B f fr1 i1-j Fig.Z