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现有的数字信号处理教材大多数没有对用双线性变换法设计数字滤波器的原理给出充分而完全的物理概念解释,这在一定程度上影响了学生对理论与方法的系统掌握。考虑到教学中理工结合的需要,根据笔者的教学体会,可以从模拟滤波器与数字滤波器相似的网络结构出发,根据对模拟滤波器网络结构的数字化导出双线性变换公式,从而在此基础上很容易地讨论双线性变换法模拟频率与数字频率之间的转换关系,这样有助于学生对双线性变换法的原理与方法的全面理解与掌握。
Most existing digital signal processing textbooks do not give a full and complete explanation of the physical concept of the principle of designing a digital filter by the bilinear transformation, which to a certain extent affects students’ systematic mastery of theory and method. Taking into account the teaching needs of the combination of science and technology, according to the author’s teaching experience, analog filters and digital filters can be similar to the network structure, based on the analog filter network structure derived bilinear transformation formula, which based It is easy to discuss the relationship between the bilinear transformation method analog frequency and the digital frequency conversion, which will help students to understand and master the principles and methods of bilinear transformation.