一、滤波器的图示及分析 二、等效结构 三、基本的FIR滤波器结构 四、基本的IIR滤波器结构 五、基本结构的MATLAB实现 六、全通滤波器 七、IIR和FIR的格型结构

一、预备知识 二、双线性变换 三、低通IIR滤波器设计 四、高通、带通、带阻IIR数字滤波器设计 五、IIR滤波器的谱变换 六、基于加窗傅立叶级数的FIR滤波器设计 七、数字滤波器的计算机辅助设计 八、用Matlab进行数字滤波器设计

一、傅立叶变换－离散时间傅立叶变换（Discrete-Time Fourier Transform，DTFT)（定义、收敛条件、性质）– 离散傅立叶变换（Discrete Fourier Transform，DFT)（定义、性质） 二、Z变换（定义、收敛条件、逆变换、性质）

一､ 数字系统的概念 按一定方式联系起来的一群事物所构成的总 体，称为系统。能够对数字信息进行传递，加工， 处理的电子设备，称为数字系统。 如果把数字系统比喻成一个人,那么数据处 理器就像人的手和脚,能够完成各种操作。但要 想完成一个复杂的工作必须由大脑协调控制；控 制器在数字系统中就起到了大脑的作用

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The dtft provides a frequency-domain representation of discrete-time signals and lti discrete-time systems Because of the convergence condition, in many cases. the dtft of a sequence may not exist as a result. it is not possible to make use of such frequency-domain characterization in these cases Copyright C 2001, S K. Mitra

It is nearly impossible to design a linear￾phase IIR transfer function It is always possible to design an FIR transfer function with an exact linear-phase response Consider a causal FIR transfer function H(z) of length N+1, i.e., of order N:

Later in the course we shall review various methods of designing frequency-selective filters satisfying prescribed specifications We now describe several low-order FIR and IIR digital filters with reasonable selective frequency responses that often are satisfactory in a number of applications

The simple filters discussed so far are characterized either by a single passband and/or a single stopband There are applications where filters with multiple passbands and stopbands are required The comb filter is an example of such filters

Stability Condition in Terms of the Pole Locations A causal LTI digital filter is BIBO stable if and only if its impulse response h[n] is absolutely summable, i.e., We now develop a stability condition in terms of the pole locations of the transfer function H(z)