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Sectional table look-up based arc-tangent function realization method and device

A technology of arctangent function and look-up table method, which is applied in the field of mobile communication, can solve problems such as calculation result errors, achieve the effect of reducing calculation cost, reducing calculation amount, and ensuring data accuracy

Inactive Publication Date: 2016-12-14
INST OF AUTOMATION CHINESE ACAD OF SCI
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

Slope function of actan(x) It is a non-linear decreasing function. The curve of actan(x) shows a trend of fast first and then slow. If the table item adopts a linear interval, there will be a large error in the calculation result between 0-1

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  • Sectional table look-up based arc-tangent function realization method and device
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  • Sectional table look-up based arc-tangent function realization method and device

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Embodiment Construction

[0061] The technical problems solved by the embodiments of the present application, the technical solutions adopted and the technical effects achieved are clearly and completely described below in conjunction with the accompanying drawings and specific embodiments. Apparently, the described embodiments are only some of the embodiments of the present application, not all of them. Based on the embodiments in the present application, all other equivalent or obviously modified embodiments obtained by persons of ordinary skill in the art without making creative efforts fall within the protection scope of the present application. The embodiments of the present application can be embodied in many different ways as defined and covered by the claims.

[0062] It should be noted that, in the following description, many specific details are given for the convenience of understanding. It may be evident, however, that the present application may be practiced without these specific details...

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Abstract

The invention discloses a sectional table look-up based arc-tangent function realization method and device. The realization method includes: determining an arc-tangent function lookup table according to the size of inputted data; determining an index value according to a high value of the inputted data, determining an angle compensation value according to a low value of the inputted data, and determining initial angle and compensation slope in the lookup table according to the index value; determining arc-tangent angle according to the initial angle, compensation slope and angle compensation value so as to realize the arc-tangent function. Through the realization method and device, the technical problem about how to realize the arc-tangent function of infinite interval is solved, calculation in the angle solving process of the arc-tangent function is reduced, calculation cost is reduced under the condition that data accuracy is assured, and limited storage space is saved.

Description

technical field [0001] The embodiment of the present application relates to the technical field of mobile communication, and specifically relates to a method for realizing an arctangent function based on a segmented table lookup method and a device for realizing an arctangent function based on a segmented table lookup method, but is by no means limited thereto. Background technique [0002] The implementation design of the commonly used arctangent function includes the Taylor formula expansion method and the look-up table method. For the process of calculating actan(x) using the Taylor formula expansion method, when x<1, use When calculating actan(x), the convergence is very fast, that is, a relatively accurate value can be achieved by calculating a few items; when x>1, use Convergence is very slow when calculating actan(x). This requires many calculations to achieve the required accuracy. With this method, it is necessary to construct a large number of multipliers fo...

Claims

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Application Information

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IPC IPC(8): G06F1/03
CPCG06F1/03G06F2101/04
Inventor 洪冰清郭晨王晓琴
Owner INST OF AUTOMATION CHINESE ACAD OF SCI
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