Filter design i (z-transform)

OpenStax

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Difference equation

2 General formulas for the difference equation

3 Difference equation

4 Conversion to z-transform

5 Conversion to frequency response

7 Solving a lccde

8 Direct method

9 Homogeneous solution

10 Particular solution

11 Indirect method

The z transform: definition

Table of common z-transforms

Poles and zeros

Rational functions and the z-transform

2 Properties of rational functions

4 Discontinuities

7 Rational functions and the z-transform

The complex plane

1 Complex plane

2 Rectangular coordinates

Region of convergence for the z-transform

2 The region of convergence

3 Properties of the region of convergencec

5 Graphical understanding of roc

Understanding pole/zero plots on the z-plane

Zero locations of linear-phase fir filters

Discrete time filter design

Source: OpenStax, Intro to digital signal processing. OpenStax CNX. Jan 22, 2004 Download for free at http://cnx.org/content/col10203/1.4

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