DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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230 DESIGN AND ANALYSIS OF ANALOG FILTERS: classical filter types presented so far to meet given magnitude response specifications, and have the worst Filter Selectivity and Shaping Factor, their phase response and corresponding phase delay and group delay, and the time domain responses as well, are by far vastly superior to all other filter types considered so far. It is in this sense that Butterworth and Chebyshev filters are compromises between the two extremes of Bessel and elliptic filters. The performance of Butterworth filters is closer to that of Bessel filters than are Chebyshev filters: the phase response is more linear but the order required to meet given magnitude response specifications is greater. Conversely, the performance of Chebyshev filters, Types I and II, fall between Butterworth and elliptic filters: Type II being closer to Butterworth and Type I closer to elliptic. 7.9 CHAPTER 7 PROBLEMS 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 Similar to Examples 7.1 through 7.5, determine, using (7.18), the transfer function of a sixth-order Bessel filter with a normalized delay of unity. Repeat Problem 7.1 for a seventh-order Bessel filter. Repeat Problem 7.1 for an eighth-order Bessel filter. Similar to Example 7.6, determine the transfer function of a third-order Bessel filter with a time delay of 1 ms. Determine the transfer function (the order is to be determined) of a Bessel filter with the following specifications: time delay at low frequencies of 2 ms, and a minimum time delay of 1.8 ms at 400 Hz. Determine the transfer function (the order is to be determined) of a Bessel filter with the following specifications: time delay at low frequencies of and a minimum time delay of at 80 kHz. Using the MATLAB function BESSELDE, determine the transfer function of a second-order Bessel filter with and Using the MATLAB function BESSELDE, determine the transfer function of a third-order Bessel filter with and Using the MATLAB function BESSELDE, determine the transfer function of a fourth-order Bessel filter with and Chapter 7 Bessel Filters
A Signal Processing Perspective 231 7.10 7.11 7.12 7.13 7.14 7.15 7.16 7.17 7.18 7.19 Using MATLAB functions BESSELFS and BESSELSF, determine the Filter Selectivity and Shaping Factor for the Bessel filter of Problem 7.7. Using MATLAB functions BESSELFS and BESSELSF, determine the Filter Selectivity and Shaping Factor for the Bessel filter of Problem 7.8. Using MATLAB functions BESSELFS and BESSELSF, determine the Filter Selectivity and Shaping Factor for the Bessel filter of Problem 7.9. Similar to Example 7.8, using the MATLAB function BESSELOR, determine the minimum required order to meet the following set of specifications: Similar to Example 7.8, using the MATLAB function BESSELOR, determine the minimum required order to meet the following set of specifications: Using the MATLAB function BESSELDE, determine the transfer function for the filter of Problem 7.13. Express H(s) as a constant over a polynomial in s. Using the MATLAB function BESSELDE, determine the transfer function for the filter of Problem 7.14. Express H(s) as a constant over a polynomial in s. By referring to Figure 7.6, and making use of frequency scaling, what would be the phase deviation from linear, in degrees, for a 4th-order Bessel filter with an at f = 2000 Hz? By also making use of Figure 7.7, what percentage error in the phase response does this phase deviation represent? By referring to Figure 7.6, and making use of frequency scaling, what would be the phase deviation from linear, in degrees, for a 6th-order Bessel filter with an at f = 3000 Hz? By also making use of Figure 7.7, what percentage error in the phase response does this phase deviation represent? Refer to the tenth-order impulse response plotted in Figure 7.9. Suppose that a particular measure for effective time duration yields 4 s for the tenth-order impulse response. Also suppose that the peak value of the impulse response is 0.46. Determine the effective time duration and the peak value of the tenthorder impulse response for the following values of 3 dB cutoff frequency: Section 7.9 Chapter 7 Problems
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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 10 PASSIVE FILTERS In this
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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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