DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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A Signal Processing Perspective 307 Case III Consider the case where is complex, that is, where To determine the corresponding bandstop filter poles, let It follows that or the two poles corresponding to the one lowpass prototype pole, are where and i.e., is the polar magnitude of, and is the angle of, where Note that may be expressed as follows: Therefore, Section 9.4 Lowpass-to-Bandstop Transformation
308 DESIGN AND ANALYSIS OF ANALOG FILTERS: and If there is a pole in the lowpass prototype at there will also be one at resulting in the following two poles in the bandstop transfer function: and Note that and Therefore, the lowpass-to-bandstop transformation results in two pair of complex-conjugate poles for every complex-conjugate pair of poles in the lowpass prototype. It should be noted that two pair of conjugate imaginary zeros at are also introduced for every complex-conjugate pair of poles in the lowpass prototype. Note also that for practical lowpass prototype poles that the corresponding bandstop transfer function poles will have imaginary parts centered around See the following examples for illustrations of this. In summary, one pair of complex-conjugate poles in the lowpass prototype, results in the following poles in the bandstop transfer function: and Chapter 9 Frequency Transformations
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DESIGN AND ANALYSIS OF ANALOG FILTE
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Design and Analysis of A Signal Pro
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PREFACE nalog filters, that is cont
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The term “approximation” is use
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PREFACE Chapter 1. 2. INTRODUCTION
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6.7 6.8 6.9 6.10 6.11 6.12 TABLE OF
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CHAPTER 1 INTRODUCTION Iimportance
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CHAPTER 2 ANALOG FILTER DESIGN AND
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114 DESIGN AND ANALYSIS OF ANALOG F
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130 (f) (g) (h) DESIGN AND ANALYSIS
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CHAPTER 5 CHEBYSHEV TYPE II FILTERS
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6. 1 INTRODUCTION CHAPTER 6 ELLIPTI
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CHAPTER 7 BESSEL FILTERS Although a
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CHAPTER 8 OTHER FILTERS In this cha
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APPENDIX B CONTENTS OF THE ACCOMPAN
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APPENDIX D THE MATLAB m-FILE EXAMP6
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A Active filters, 359-390 advantage
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