Chapter 7 Filter Design Techniques ◆7.0 Introduction 7.1 Design of Discrete-Time IIR Filters From Continuous-Time Filters 7.2 Design of FIR Filters by windowing 7.3 Examples of FIR Filters design by the Kaiser window method 7.4 Optimum Approximations of FIR Filters 7. 5 Examples of FIR Equiripple Approximation 7.6 Comments on Iir and FIr Discrete-Time Filters
2 Chapter 7 Filter Design Techniques ◆7.0 Introduction ◆7.1 Design of Discrete-Time IIR Filters From Continuous-Time Filters ◆7.2 Design of FIR Filters by Windowing ◆7.3 Examples of FIR Filters Design by the Kaiser Window Method ◆7.4 Optimum Approximations of FIR Filters ◆7.5 Examples of FIR Equiripple Approximation ◆7.6 Comments on IIR and FIR Discrete-Time Filters
Filter Design Techniques 7.0 Introduction
3 Filter Design Techniques 7.0 Introduction
7.0 Introduction Frequency-selective filters pass only certain frequencies Any discrete-time system that modifies certain frequencies is called a filter We concentrate on design of causa Frequency-selective filters
4 7.0 Introduction ◆Frequency-selective filters pass only certain frequencies ◆Any discrete-time system that modifies certain frequencies is called a filter. ◆We concentrate on design of causal Frequency-selective filters
Stages of Filter Design Determine the specification of the desired properties of the system The approximation of the specifications using a causal discrete-time system The realization of the system Our focus is on second step A Specifications are typically given in the requency domain
5 Stages of Filter Design ◆Determine the specification of the desired properties of the system. ◆The approximation of the specifications using a causal discrete-time system. ◆The realization of the system. ◆Our focus is on second step ◆Specifications are typically given in the frequency domain
Frequency-Selective Filters ◆ Ideal lowpass filter W<w 0,1。<lw<兀 SIn w n 0<n<O 元- 2丌
6 Frequency-Selective Filters ◆Ideal lowpass filter ( ) = w w w w H e c j w c l p 0, 1, 0 wc − 2 − − wc 2 ( ) jw H e 1 ( ) = − n n w n h n c l p , sin