SU1644176A1 - Cartesian-to-polar coordinates converter - Google Patents

Description

t

(21) 4696623/24

(22) 05.25.89

;, (46) 04.23.91. Vul. t 15 (72) V.N.Karpov and V.A.Popov

(53) 681.3 (088.8)

(56) For France's law P 2209147, cl. G 06 G 7/22, publ. 1974.

USSR author's certificate f 1001118, cl. G 06 G 7/22, 1981.

(54) DEVICE FOR TRANSFORMING RECTANGULAR COORDINATES TO POLAR

(57) The invention relates to computing. The purpose of the invention is to improve accuracy by eliminating

uncertainties of coordinate transformation in the whole range of their change. The coordinate transformation principle consists in balancing the X Sintf and Y cos Cf values with the help of a closed loop including a reversible counter 15, a digital-to-analog converter 14, a sine-cosine converter 13, switches 4, 5, a multiplication unit 12 and a smoothing filter. 16. The calculation of the module is carried out using a dividing unit 11. The device is clocked by a generator of 10 clock pulses. 1 il.

§

(ABOUT

The invention relates to computing and can be used in radar, navigation and other computing systems.

The purpose of the invention is to improve accuracy by eliminating the uncertainty of coordinate transformation in the whole range of their change.

. The drawing shows a block diagram of the proposed device.

The device contains from the first to the fifth switches 1-5, the inverter 6, the first 7 and the second 8 blocks of the module allocation, the comparator 9, the generator of 10 clock pulses, the division unit 11., the multiplication unit 12, the sine-cosine converter 13, digital-analog Converter 14, reversible counter 15, smoothing filter 16, inputs of coordinates Y, X

I

17, 18, the output of module 19 and the output of argument 20.

The initial state of the switches shown in the drawing corresponds to the absence of signals at their control inputs.

The device works as follows.

From the inputs 17 and 18 of the device, the signals corresponding to the values of the rectangular coordinates Y and X are fed to switch 1, and the switch 3 is fed to the rectangular coordinate Y and the inverted value of the rectangular coordinate X. The generator 10 clock pulses generates a sequence of control square-wave pulses with a duty cycle of 2 and a frequency of 1 / T, which exceeds the highest frequency of the spectrum of the converted signals.

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ABOUT

At the outputs of the sine-cosine converter 13, signals are formed; correspond to the cosine and sine of the argument (f.

During the first half of the period, the signal at the output of block 12 multiplying is equal to

 -X sin (. During the second half of the period it is equal to

U

12

Y cos

f.

These signals are fed to the input of the filter 16 and, depending on the polarity of the signal averaged over the period, fed to the control input of the switch 5, the generator 10 pulses are fed to the summing or subtracting input of the reversing counter 15. If the code in the counter is equal to the desired angle (0, then the signal at the output of the filter 16 will be equal to zero and the switch 5 will be open.

Comparator 9 provides control of switches 1 and 2 so that when conditions are met | Xf & Ј | v | to the inputs of dividing unit 11, signals are given corresponding to the values of X and cos (|, and at the output of dividing unit 11 a value of polar radius is formed

R

)

X

Cosp

and if conditions are met) x | Ј) Y (signals corresponding to the values of Y and sintp are supplied to the inputs of the division block 11, and at its output a value of polar radius is formed

at

P sin

 The proposed device provides reliable transformation of coordinates in the whole range of their change.

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0

five

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 about rmu l and inventions

A device for converting rectangular coordinates into polar coordinates, containing a clock pulse generator, a dividing unit, the input of which is connected through the first switch to the first and second inputs of the device, and the input of the divider through the second switch to the sine-cosine converter outputs, and a smoothing filter, characterized in that, in order to increase accuracy by eliminating the uncertainty of coordinate transformation in the whole range of their variation, an inverter, two modules for extracting a module, a third one, the fifth and fifth switches, a comparator, a multiplier, a reversible counter and a digital-to-analog converter, the output of which is connected to the input of a sine-cosine converter, is the output of the device argument, and the input is connected to the output of a reversible counter, the first and second inputs of the device are connected through appropriate blocks selection module with the inputs of the comparator, the output of which is connected to the control inputs of the first and second switches, the first input of the device through the inverter, and the second directly connected to and the formation inputs of the third switch, the output of which is connected to the first input of the multiplication unit, the second input of which is connected through the fourth switch to the sine-cosine converter, the output of the multiplication unit is connected to the control input of the fifth switch, the output of the clock generator is connected to the control the third and fourth switches, and through the fifth switch, to the summing and subtracting inputs of a reversible counter, and the output of the dividing unit is with the output of the device module.

Claims (1)

Claim A device for converting rectangular coordinates to polar coordinates, containing a clock generator, a division unit, the input of which is divisible through the first switch is connected to the first and second inputs of the device 10, and the input of the divider through the second switch is connected to the outputs of the sine-cosine converter, and a smoothing filter, characterized in that, with the aim of 15 increasing accuracy by eliminating the uncertainty of coordinate transformation in the entire range of their changes, an inverter, two module selection blocks, a third are introduced into it , the fourth and fifth switches, a comparator, a multiplication unit, a reversible counter and a digital-to-analog converter, the output of which is connected to the input of the sine-cosine converter and is the output of the device argument, and the input is the output of the reverse-counter, the first and second inputs of the device connected through the appropriate allocation blocks of the module 30 with the inputs of the comparator, the output of which is connected to the control inputs of the first and second switches, the first input of the device through an inverter, and the second directly connected 35 with the information inputs of the third switch, the output of which is connected to the first input of the multiplication unit, the second input of which is connected through the fourth switch with the outputs 4Q of the sine-cosine converter, the output of the multiplication unit through the smoothing filter is connected to the control input of the fifth switch, the output of the clock generator is connected with the control inputs of the third and fourth switches and through the fifth switch with inputs for adding and subtracting a reversible counter, and the output of the division unit S THE output device module.