抽取频域关系的正确推导

主要介绍序列信号抽取频域关系的正确推导。首先从学生课堂自行推导抽取频域关系时易犯的普遍错误出发,找出其错误的原因,然后从模拟域和数字域两个方面分别来推导它们的正确关系。在模拟域里,对模拟信号进行抽样,从抽样的角度来分析;而在数字域里,则是直接对序列信号进行分析。模拟域和数字域的两种推导方法,采用相对较为简单的采样定理法和卷积法。最后对两种推导方法得到的结果进行对比,并验证其正确性。

On the Formula of the Decimation in the Frequency-Domain

This paper mainly introduces the reasonable derivation of the relationship of decimation in the frequency-domain.Firstly,we begin with the faults which the students made in the classrooms by themselves when deriving the relationship. Secondly,we derive their correct relationships from the analog and the digital domain respectively. In the analog domain,we first sample the analog signal and then analyze it from the angle of the sample. While in the digital domain,we analyze the sequence signal directly. For the two deduced methods in analog and digital domain,in the paper we use relatively simple methods based on sampling and convolution. Finally,we compare the results of these two methods,and verify its accuracy.