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

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...

AI Technical Summary

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 phase map, but for high-precision phase calculations, it still cannot solve the problem of expansion of the phase map size

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