基于最小方差低通fir滤波器课程设计说明书

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1、中北大学课程设计说明书学院：信息与通信工程学院专业：生物医学工程题目：基于最小方差低通FIR滤波器课程设计任务书1．设计目的：根据所学的数字信号处理和MATLAB相关知识，用最小方差法设计一个低通FIR滤波器。2．设计内容和要求（包括原始数据、技术参数、条件、设计要求等）：实现最优化设计，调节这些零点的分布，使得实际滤波器的频率响应Hd(ejω)与理想滤波器的频率响应Hd(ejω)之间的最大绝对误差最小。3．设计工作任务及工作量的要求〔包括课程设计计算说明书(论文)、图纸、实物样品等〕：（1）查阅文献资料，了解相关知识；（2）确定设计方法；（3）编写

2、MATLAB程序，并上机调试；（4）撰写课程设计说明书。课程设计任务书4．主要参考文献：1阎石.数字电子技术基础.北京：高等教育出版社，1998；2王远.模拟电子技术.北京：机械工业出版社，2001；3陈汝全.电子技术常用器件应用手册.北京：机械工业出版社，2003；4毕满清.电子技术实验与课程设计.北京：机械工业出版社，2006；5张俊谟.单片机中级教程-原理与应用.北京：北京航空航天大学出版社，2002；5．设计成果形式及要求：提供课程设计说明书一份；MATLAB程序；6．工作计划及进度：2013年12月23日~12月25日：查阅资料；12月26

3、日~12月27日：确定设计方案；12月28日~12月31日：编写程序，上机调试；2014年1月1日~1月2日：完成课程设计说明书；1月3日：答辩。系主任审查意见：签字：年月日中北大学2010届课程设计说明书目录1设计目标········································································12低通FIR滤波器技术指标··························································13低通FIR滤波器的设计···········

4、·················································13.1低通FIR滤波器阶数的估计······················································13.2最小方差线性相位的误差························································13.3参数、、L的确定·····················································23.4参数、的确定············

5、···········································33.5参数中北大学2010届课程设计说明书的确定···································································34用直接型结构实现································································115用FDATOOL分析························································

6、··········116误差分析········································································126.1误差产生的原因································································126.2误差的理论计算································································126.3用FDATOOL分析不同字长对其幅频响应和相频响应的影响····

7、························137总结············································································148参考文献········································································15中北大学2010届课程设计说明书中北大学2010届课程设计说明书1设计目标根据所学的数字信号处理和MATLAB相关知识，用最小方差法设计一个低通FIR滤波器。从FIR数字滤波器的系统函

8、数可以看出，极点都是在z平面的原点，而零点的分布是任意的。不同的分布将对应不同的频率响应，最优化设计实际上就