Page 10 - Analog and Digital Filter Design

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Contents

Sullen and Key Lowpass Filter 133
Denormalizing Sullen and Key Filter Designs 135
State Variable Lowpass Filters 136
Cauer and Inverse Chebyshev Active Filters 137
Denormalizing State Variable or Biquad Designs 138
Frequency Dependent Negative Resistance (FDNR) Filters 1 40
Denormalization of FDNR Filters 144
References 146
Exercises 146

5
CHAPTER Highpass Filters 147
Passive Filters 147
Formulae for Passive Highpass Filter Denormalization 150
Highpass Filters with Transmission Zeroes 152
Active Highpass Filters 1 54
First-Order Filter Section 156
Sullen and Key Highpass Filter 157
Using Lowpass Pole to Find Component Values 158
Using Highpass Poles to Find Component Values 158
Operational Amplifier Requirements 159
Denormalizing Sullen and Key or First-Order Designs 159
State Variable Highpass Filters 161
Cauer and Inverse Chebyshev Active Filters 162
Denormalizing State Variable or Biquad Designs 166
Gyrator Filters 167
Reference 171
Exercises 172

6
CHAPTER Bandpass Filters 173
Lowpass to Bandpass Transformation 173
Passive Filters 174
Formula for Passive Bandpass Filter Denormalization 178
Passive Cauer and Inverse Chebyshev Bandpass Filters 180
Active Bandpass Filters 182
Bandpass Poles and Zeroes 182
Bandpass Filter Midband Gain 185
Multiple Feedback Bandpass Filter 187
Denormalizing MFBP Active Filter Designs 188
Dual Amplifier Bandpass (DABP) Filter 190
Denormalizing DABP Active Filter Designs 191
State Variable Bandpass Filters 192