remove some deprecated dependencies
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---
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title: MATLAB 函数 —— gaussdesign
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tags:
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- MATLAB
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- 翻译
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- 成型滤波器
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- 滤波器
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categories:
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- - MATLAB
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- - 翻译
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- 帮助文档
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mathjax: true
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copyright: true
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abbrlink: a2967b00
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date: 2020-11-26 15:56:26
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---
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`gaussdesign`:高斯 FIR 脉冲成型滤波器设计
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# 语法
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`h = gaussdesign(bt,span,sps)`
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<!-- more -->
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# 说明
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`h = gaussdesign(bt,span,sps)` 设计一个低通 FIR 高斯脉冲成型滤波器,并返回滤波器系数向量 `h`。滤波器有 `span` 个符号,每个符号包含 `sps` 个样本。滤波器的阶次,也即 `sps * span` 必须是偶数。[举例](#Examples-01)
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# 示例
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## GSM GMSK 数字蜂窝通信系统的高斯滤波器<span id="Examples-01"></span>
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指定用于传输比特位的调制是高斯最小频移键控(GMSK)脉冲。此脉冲的 3-dB 带宽等于比特率的 `0.3` 倍,滤波器的符号数为 `4`,每个符号 `8` 个采样点。
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```m
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bt = 0.3;
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span = 4;
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sps = 8;
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h = gaussdesign(bt,span,sps);
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fvtool(h,'impulse')
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```
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<div align="center">
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<img src="https://josh-blog-1257563604.cos.ap-beijing.myqcloud.com/img/2020-11-26-matlab-gaussdesign/2020-11-26-matlab-gaussdesign-010-GaussianFilterForAGSMGMSKDigitalCellularCommunicationSysExample-01.png?imageMogr2/thumbnail/!100p|watermark/2/text/QEpvc2ggR2Fv/fontsize/15/dissolve/60/gravity/southeast/dx/5/dy/5"/>
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</div>
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# 输入参数
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## `bt` - 3-dB带宽符号时间积
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3-dB 单边带带宽(以 Hz 为单位)和符号时间(以秒为单位)的乘积,指定为**正实标量**。较小的 `bt` 值会产生较大的脉冲宽度。
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**数据类型**:`double` | `single`
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## `span` - 符号数
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符号数,指定为**正整数标量**(默认为 3)。
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**数据类型**:`double` | `single`
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## `sps` - 每个符号的样本数
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每个符号周期的样本数(上采样因子),指定为**正整数标量**(默认为 2)。
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**数据类型**:`double` | `single`
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# 输出参数
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## `h` - FIR 滤波器系数
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高斯脉冲成型滤波器的 FIR 系数,以**行向量**的形式返回。系数已被归一化,因此标称通带增益始终为 1。
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**数据类型**:`double` | `single`
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# 参考
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[1] Krishnapura, N., S. Pavan, C. Mathiazhagan, and B. Ramamurthi. “A baseband pulse shaping filter for Gaussian minimum shift keying.” *Proceedings of the 1998 IEEE International Symposium on Circuits and Systems*. Vol. 1, 1998, pp. 249–252.
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[2] Rappaport, Theodore S. *Wireless Communications: Principles and Practice.* 2nd Ed. Upper Saddle River, NJ: Prentice Hall, 2002.
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# 另请参阅
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[`rcosdesign`](https://ww2.mathworks.cn/help/signal/ref/rcosdesign.html)
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---
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在 R2013b 中推出
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---
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原文参考:[https://ww2.mathworks.cn/help/signal/ref/gaussdesign.html](https://ww2.mathworks.cn/help/signal/ref/gaussdesign.html)
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