ACTIVE_FILTERS_Theory_and_Design

Chapter 3
MultiFeedback Filters..............................................................................................73
3.1 Low-Pass Filters.............................................................................................73
3.2 High-Pass Filters ............................................................................................78
3.3 Higher-Order Filters.......................................................................................83
3.4 Band-Pass Filters............................................................................................90
3.4.1 Narrow-Band Band-Pass Filter ..........................................................92
3.4.1.1 Design Procedure................................................................94
3.4.1.2 Frequency Response ...........................................................95
3.4.2 Narrow-Band Band-Pass Filter with Two Op-Amps ......................102
3.4.2.1 Design Procedure..............................................................105
3.4.3 Deliyannis’s Band-Pass Filter..........................................................107
3.4.3.1 Design Procedure..............................................................111
3.5 Band-Reject Filters ......................................................................................114
3.5.1 Wide-Band Band-Reject Filters.......................................................114
3.5.2 Narrow-Band Band-Reject Filter.....................................................119
3.5.2.1 Design Procedure..............................................................121
3.5.3 MFB Narrow-Band Band-Reject Filter ...........................................123
3.6 Comments on MFB Filters ..........................................................................126
3.6.1 Low-Pass Filters...............................................................................126
3.6.2 High-Pass Filters ..............................................................................127
3.6.3 Band-Pass Filters..............................................................................127
Problems ................................................................................................................127
Chapter 4
Filters with Three Op-Amps .................................................................................129
4.1 State-Variable Filter .....................................................................................129
4.1.1 Low-Pass Filter ................................................................................130
4.1.1.1 Design Procedure..............................................................131
4.1.2 High-Pass Filter................................................................................137
4.1.2.1 Design Procedure..............................................................138
4.1.3 Narrow-Band Band-Pass Filter ........................................................149
4.1.3.1 Design Procedure..............................................................150
4.2 Biquad Filters...............................................................................................154
4.2.1 Narrow-Band Band-Pass Filter ........................................................155
4.2.1.1 Design Procedure..............................................................157
4.2.2 Low-Pass Filter ................................................................................159
4.2.2.1 Design Procedure..............................................................161
Problems ................................................................................................................166
Chapter 5
Sensitivity ..............................................................................................................169
5.1 Introduction ..................................................................................................169
5.2 Some General Properties .............................................................................171
5.3 Magnitude and Phase Sensitivities ..............................................................174