Iterative design of l_p digital filters

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Introduction to iterative design of l_p digital filters

0.1 Introduction

1 Digital filter design

2 The irls algorithm

3 Finite impulse response (fir) l_p design

4 Infinite impulse response (iir) l_p design

5 Introduction to finite impulse response filters

6 Linear phase l_p filter design

6.1 Four types of linear phase filters

6.2 Irls-based methods

6.3 Modified adaptive Irls algorithm

7 Complex l_p problem

8 Magnitude l_p problem

9 L_p error as a function of frequency

10 Constrained least squares (cls) problem

11 Introduction to infinite impulse response filters

13 Least squares design of iir filters

13.1 Traditional optimization methods

13.2 Equation error linearization methods

13.3 Levy's method

13.4 Prony-based equation error linearization

13.5 Prony's method

13.6 Padé's method

13.7 Prony-based filter design methods

13.8 Iterative prefiltering linearization methods

13.9 Sanathanan-koerner ( SK ) method

13.10 Method of sid-ahmed, chottera and jullien

13.11 Steiglitz-mcbride iterative algorithm

13.12 Jackson's method

13.13 Soewito's quasilinearization method

14 L_p approximation

16 Appendix: optimization theory

17 Appendix: more on prony and pade

18 Appendix: matlab code

19 Notation conventions

Source: OpenStax, Iterative design of l_p digital filters. OpenStax CNX. Dec 07, 2011 Download for free at http://cnx.org/content/col11383/1.1

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