DSP for MATLAB and LabVIEW. Volume III, Digital filter design
This book is Volume III of the series DSP for MATLAB and LabVIEW. Volume III covers digital filter design, including the specific topics of FIR design via windowed-ideal-lowpass filter, FIR highpass, bandpass, and bandstop filter design from windowed-ideal lowpass filters, FIR design using the trans...
| Main Author: | |
|---|---|
| Format: | Electronic |
| Language: | English |
| Published: |
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) :
Morgan & Claypool Publishers,
c2009.
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| Series: | Synthesis lectures on signal processing (Online) ;
# 6. |
| Subjects: | |
| Online Access: | View fulltext via EzAccess |
Table of Contents:
- Principles of FIR design
- Overview
- In previous volumes
- In this volume
- In this chapter
- Software for use with this book
- Characteristics of FIR filters
- Effect of filter length
- Effect of windowing
- Linear phase
- Impulse response requirement
- Four basic categories of FIR impulse response for linear phase
- Zero location in linear phase filters
- Linear phase FIR frequency content and response
- Design methods
- Basic scheme
- Three design methods
- The comb and moving average filters
- FIR realization
- Direct form
- Cascade form
- Linear phase form
- Cascaded linear phase form
- Frequency sampling
- References
- Exercises
- FIR design techniques
- Overview
- Software for use with this book
- Summary of design methods
- Filter specification
- FIR design via windowed ideal lowpass filter
- Windows
- Net frequency response
- Windowed lowpass filters-passband ripple and stopband
- Attenuation
- Highpass, bandpass, and bandstop filters from lowpass filters
- Improving stopband attenuation
- Meeting design specifications
- FIR design via frequency sampling
- Using the inverse DFT
- Using cosine/sine summation formulas
- Improving stopband attenuation
- Filters other than lowpass
- Hilbert transformers
- Differentiators
- Optimized filter design
- Equiripple design
- Design goal
- Alternation theorem
- A common design problem for all linear phase filters
- Weighted error function
- Remez exchange algorithm
- References
- Exercises
- Classical IIR design
- Overview
- Laplace transform
- Definition
- Convergence
- Relation to Fourier transform
- Relation to z-transform
- Time domain response generated by poles
- General observations
- Prototype analog filters
- Notation
- System function and properties
- Computed frequency response
- General procedure for analog/digital filter design
- Analog lowpass Butterworth filters
- Design by order and cutoff frequency
- Design by standard parameters
- Lowpass analog Chebyshev type-I filters
- Design by order, cutoff frequency, and Epsilon
- Design by standard parameters
- Lowpass analog Chebyshev type-II filters
- Design by order, cutoff frequency, and Epsilon
- Design by standard parameters
- Analog lowpass elliptic filters
- Design by standard parameters
- Frequency transformations in the analog domain
- Lowpass to lowpass
- Lowpass to highpass
- Transformation via convolution
- Lowpass to bandpass
- Lowpass to bandstop (notch)
- Analog to digital filter transformation
- Impulse invariance
- The bilinear transform
- MathScript filter design functions
- Prony's method
- IIR optimization programs
- References
- Exercises
- Software for use with this book
- File types and naming conventions
- Downloading the software
- Using the software
- Single-line function calls
- Multi-line m-code examples
- How to successfully copy-and-paste M-code
- Learning To use M-code
- What you need with MATLAB and LabVIEW
- Vector/matrix operations in M-code
- Row and column vectors
- Vector products
- Inner product
- Outer product
- Product of corresponding values
- Matrix multiplied by a vector or matrix
- Matrix inverse and pseudo-inverse
- FIR frequency sampling design formulas
- Whole-cycle mode filter formulas
- Odd length, symmetric (type I)
- Even length, symmetric (type II)
- Odd length, anti-symmetric (type III)
- Even length, symmetric (type IV)
- Half-cycle mode filters
- Odd length, symmetric (type I)
- Even length, symmetric (type II)
- Odd length, anti-symmetric (type III)
- Even length, anti-symmetric (type IV).