## Design and Analysis of Analog Filters: A Signal Processing PerspectiveDesign and Analysis of Analog Filters: A Signal Processing Perspective includes signal processing/systems concepts as well as implementation. While most books on analog filter design briefly present the signal processing/systems concepts, and then concentrate on a variety of filter implementation methods, the present book reverses the emphasis, stressing signal processing concepts. Filter implementation topics are presented in Part II: passive filters, and operational amplifier active filters. However, greater emphasis on signal processing/systems concepts is included in Part I of the book than is typical. This emphasis makes the book very appropriate as part of a signal processing curriculum. Useful Aspects of Design and Analysis of Analog Filters: A Signal Processing Perspective extensive use of MATLABŪ throughout, with many homework problems involving the use of MATLAB. - over 200 figures;
- over 100 examples;
- a total of 345 homework problems, appearing at the ends of the chapters;
- complete and thorough presentation of design characteristics;
- complete catalog of design approaches.
MATLABŪ Examples: A valuable relationship between analog filter theory and analysis and modern digital signal processing is made by the application of MATLAB to both the design and analysis of analog filters. Throughout the book, computer-oriented problems are assigned. The disk that accompanies this book contains MATLAB functions and m-files written specifically for this book. The MATLAB functions on the disk extend basic MATLAB capabilities in terms of the design and analysis of analog filters. The m-files are used in a number of examples in the book. They are included on the disk as an instructional aid. |

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### Contents

Chapter | 1 |

ANALOG FILTER DESIGN AND ANALYSIS CONCEPTS | 23 |

used two paragraphs above A physical realization will only approximate the filter | 27 |

On the accompanying disk standard 312 inch PC floppy there is over | 30 |

Chapter | 92 |

BUTTERWORTH FILTERS | 113 |

CHEBYSHEV TYPE I FILTERS | 131 |

CHEBYSHEV TYPE II FILTERS | 155 |

FREQUENCY TRANSFORMATIONS | 271 |

PASSIVE FILTERS | 329 |

ACTIVE FILTERS | 359 |

Introduction to MATLAB | 393 |

Contents of the Accompanying Disk | 409 |

The MATLAB mFile EXAMP6_2 m | 417 |

The MATLAB mFile EXAMP6_6 m | 423 |

433 | |

ELLIPTIC FILTERS | 177 |

BESSEL FILTERS | 215 |

OTHER FILTERS | 233 |

digital signal processing is made by the application of MATLAB to both the design | 440 |

### Common terms and phrases

3rd-order 4th-order all-pass Analog Filter Design attenuation axis bandpass filter bandstop filter bandwidth Bessel filter Butterworth filter Chapter Chebyshev filter Chebyshev polynomials Chebyshev Type coefficients component values Compute cutoff frequency defined delay response denominator denoted desired Determine and plot element values elliptic filter expressed as follows Filter Design Theorem Filter Selectivity filter with coc filter with normalized frequency scaling given group delay H(jw highpass filter Hilbert transform imaginary impedance scaling linear lowpass filter lowpass prototype filter m-file magnitude frequency response magnitude response magnitude-squared frequency response MATLAB function minimum order minimum required order normalized coc Note obtained Paley-Wiener Theorem parameters passband passband ripple peak phase delay phase response plot the magnitude poles and zeros rad/s Radian Frequency Figure radls resistor Section Shaping Factor shown in Figure signal specifications stopband transfer function transition band Type I filter unit impulse response unit step response vector