基于Walsh函数系的椭圆球面波脉冲波形重构方法.pdf

第6期
Vol. 7 No6
2012年12月
Journal of CAEIT
Dec.2012
ンいとといいい
程与应
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基于 Walsh函数系的椭圆球面波脉冲波形重构方法
牟健,王红星
(海军航空工程学院电子信息工程系,山东烟台264001)
摘要:目前PSWF的脉冲产生方法在硬件实现方面有着编程复杂,计算量大,资源消耗多等制约
因素,因此亟需一种适合实时产生PSWF脉冲信号的方法。通过分析 Walsh函数系的特点和产生
原理,提出了一种基于 Walsh函数系的PSWF脉冲波形重构方法。其中, Walsh系数可以通过已有
的PSWF数值点与P编号的 Walsh矩阵求解得出,再截取所需精度的 Walsh系数参与重构PSWF
脉冲波形,从而达到降低存储量的目的。由于 Walsh码型中的±1与数字电路中的O1有着天然对
应的关系,重构时只需将 Walsh系数相加减,从而降低计算量。仿真结果表明,利用 Walsh函数系
可以較好地重构FSWF脉冲波形,且算法简单,避免了乘法运算,降低了计算量和存储量,有利于工
程实现。
关键词:Walh函数;楠國球面波函数;存储量;计算量;平移复制
中图分类号:TN911.7文献标识码:A
doi:10.3969/i.issn.1673-5692.2012.06.016
A Reconstructing Method of PSWF Pulse Waveform using
Walsh Functions
MU Jian WANG Hong-xi
ng
(Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University
Shandong Yantai 264001, China)
Abstract: The current realization methods of Pswfpulse in the hardware is constrained by complexity of
programming, heavy large calculation, resource consumption, therefore a suitable real-time pulse signal
generating method of PSWF is necessary. By analyzing the characteristics and principle of Walsh func
tions, this paper proposed a reconstruction method of PSWF pulse waveform based on Walsh functions
which can be solved by the existing PSWF data points and P-numbered Walsh matrix. Interception of the
required accuracy of Walsh functions involved in the reconstruction of PSWF pulse waveform achieves the
goal of reducing memory size. The Walsh codes 1 have a natural corresponding relationship to 0
codes of digital circuits, thus the amount of computation could be reduced by addition and subtraction of
the Walsh coefficients. The simulation results show that, according to the engineering requirements of ac
curacy, the use of Walsh functions could better reconstruct the PSWF pulse waveform. The algorithm
simplified by avoiding the multiplication, can reduce the amount of computation and storage requirement
and provides a easy way of engineering realization
Key words: walsh functions; prolate spherical wave functions(PSWF); memory size; calculation quan
tity; translation copy
收稿日期:2012-07-09修订日期:2012-11-08
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