Optimal Design of Sine Wave Approximation in Multiwave Signal Generators

Chen Kai-zhou; Hu Jun-wen; Yin Feng

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Optimal Design of Sine Wave Approximation in Multiwave Signal Generators

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- Optimal Design of Sine Wave Approximation in Multiwave Signal Generators
- Acta Electronica Sinica Issue 2, Pages: 23-27(1984)
- 作者机构：
  
  西北电讯工程学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：1984
- 稿件说明：
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[1]陈开周,胡俊文,殷峰.多波形信号发生仪中正弦波形逼近的优化设计[J].电子学报,1984(02):23-27.

Chen Kai-zhou, Hu Jun-wen, Yin Feng. Optimal Design of Sine Wave Approximation in Multiwave Signal Generators[J]. Acta Electronica Sinica, 1984, (2): 23-27.
[1]陈开周,胡俊文,殷峰.多波形信号发生仪中正弦波形逼近的优化设计[J].电子学报,1984(02):23-27. DOI：

Chen Kai-zhou, Hu Jun-wen, Yin Feng. Optimal Design of Sine Wave Approximation in Multiwave Signal Generators[J]. Acta Electronica Sinica, 1984, (2): 23-27. DOI：

摘要

在电路设计中产生正弦信号的方法

通常用折线函数进行逼近。当折线的段数n选定后

子区间的端点如何分布

方能使非线性失真系数γ最小化?我们用最优化方法较圆满地解决了这一问题。第一、推证出γ的计算公式

第二、由此公式

应用最优化方法

得出了较优的数值结果和通用计算程序。对于n=6的结果

我们还具体做了实验和测试

效果较好。

Abstract

An optimization method is used to minimize the nonlinear distortion coefficient y in approximating a sine wave by a broken-line with n broken points. The coefficient depends on the distribution of the n points provided n is given.A new formula for computing Y has been derived

and a general program has been obtained. An experiment for n=6 shows that the coefficient V obtained by this method is much smaller than the ones by any other methods. This method also holds for some other wave forms in addition to the sine wave.

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