Calculation method with high-accuracy phase and small-memory capacitance lookup

A calculation method and storage capacity technology, applied in calculation, special data processing applications, instruments, etc., can solve the problem of expansion of the size of the phase map table, achieve the effect of reducing capacity and realizing high-precision phase calculation

Active Publication Date: 2015-05-20
NAT UNIV OF DEFENSE TECH
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Problems solved by technology

The quadrant-limited phase map reduction method can reduce the size of the phase map to a quarter of the complete p...

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  • Calculation method with high-accuracy phase and small-memory capacitance lookup
  • Calculation method with high-accuracy phase and small-memory capacitance lookup
  • Calculation method with high-accuracy phase and small-memory capacitance lookup

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[0044] Assuming that the value range of I and Q is [-1,+1], 16-bit quantization, the phase calculation accuracy requirement is Δφ=0.1 degree, and the size of the phase mapping table M=1K storage units.

[0045] According to the table look-up calculation method of high-precision phase and small storage capacity of the present invention, the number of iterations is 4 times, and the phase calculation accuracy actually obtained is that the phase error is not greater than 0.0879 degrees, which meets the requirement that the phase calculation accuracy requirement is that the error is not greater than 0.1 degrees , while meeting the requirement that the size of the phase mapping table is 1K storage units. Compared with the existing method, according to the ordinary direct look-up table method, the phase accuracy of 0.1 degree can be achieved, and the size of the complete phase mapping table needs 2 22 storage units, that is, 4M storage units, cannot meet the size requirement of the p...

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Abstract

The invention provides a calculation method with a high-accuracy phase and the small-memory capacitance lookup. According to the technical scheme of the invention, the calculation method comprises the following steps: firstly, pretreatment process, namely, calculating the quantization position width and an iteration number value of a target point coordinate value, and constructing a phase mapping table; secondly, coordinate iterative process, namely, calculating a lookup coordinate of a target point; thirdly, lookup process, namely, looking up a phase value corresponding to the coordinate by utilizing a phase mapping table; and fourthly, phase retrieval process, namely, calculating a final phase result. The calculation method is capable of greatly improving the phase calculation accuracy under the condition of same memory capacitance with a phase mapping table in a traditional lookup table method, or greatly reducing the scale of the phase mapping table under the condition of keeping the same phase calculation accuracy, or simultaneously greatly improving the phase calculation accuracy and greatly reducing the scale of the phase mapping table.

Description

technical field [0001] The invention relates to fields involving a large number of phase calculations, such as radar, communication, navigation and positioning, and particularly relates to a method for phase calculation using a lookup table. Background technique [0002] Calculating the phase value corresponding to a spatial coordinate point is a common digital signal processing process, such as angle calculation in radar detection, phase calculation of modulation constellation points in communication, and position angle calculation in navigation and positioning. In order to simplify the phase calculation process, especially to simplify the phase calculation process in hardware (such as a direct digital frequency synthesizer), the phase calculation method usually used is a look-up table method. The table look-up method quantifies the coordinates of the target in the Cartesian coordinate system respectively, and establishes a mapping table from the quantized value of the coor...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 杨军高凯朱江邹建彬
Owner NAT UNIV OF DEFENSE TECH
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