Digital Signal Processing | 7. IIR Filters: Impulse Invariant and Bilinear Transform Methods of Design by Pavan | Learn Smarter
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7. IIR Filters: Impulse Invariant and Bilinear Transform Methods of Design

IIR filters are efficient digital filters with infinite impulse responses, relying on both current and past inputs as well as past outputs. The chapter explores the Impulse Invariant and Bilinear Transform methods for designing IIR filters, highlighting their applications in various fields like audio processing and communication. Each method has distinct advantages and limitations based on factors such as filter order and frequency accuracy.

Sections

  • 7

    Iir Filters: Impulse Invariant And Bilinear Transform Methods Of Design

    This section discusses Infinite Impulse Response (IIR) filters, focusing on the Impulse Invariant and Bilinear Transform methods for designing them.

    Learning Practice

  • 7.1

    Introduction

    This section introduces Infinite Impulse Response (IIR) filters, explaining their efficiency and methods for design.

    Learning Practice

  • 7.2

    Iir Filters: Overview

    IIR filters use feedback from past outputs and current inputs, allowing them to efficiently approximate analog filters with infinite impulse responses.

    Learning Practice

  • 7.3

    Impulse Invariant Method

    The Impulse Invariant Method converts analog filters into digital filters by ensuring that their impulse responses match.

    Learning Practice

  • 7.3.1

    Steps In The Impulse Invariant Method

    The Impulse Invariant Method is a technique for converting analog filters into digital filters by ensuring that their impulse responses match.

    Learning Practice

  • 7.3.2

    Mapping Analog To Digital

    This section explains the relationship between analog and digital frequencies during the Impulse Invariant Transformation process.

    Learning Practice

  • 7.3.3

    Advantages And Limitations

    This section outlines the advantages and limitations of the Impulse Invariant Method for designing IIR filters.

    Learning Practice

  • 7.4

    Bilinear Transform Method

    The Bilinear Transform Method is a technique for converting analog filters into digital filters, mapping the entire s-plane to the z-plane to prevent aliasing.

    Learning Practice

  • 7.4.1

    Bilinear Transformation Equation

    The Bilinear Transformation Equation provides the relationship between the analog s-domain and digital z-domain for filter design.

    Learning Practice

  • 7.4.2

    Steps In The Bilinear Transform Method

    This section outlines the steps involved in the Bilinear Transform Method for converting analog filters into digital filters, emphasizing the significance of frequency warping in the process.

    Learning Practice

  • 7.4.3

    Frequency Pre-Warping

    Frequency pre-warping adjusts critical frequencies in analog filters before applying the bilinear transform to ensure accurate digital representations.

    Learning Practice

  • 7.4.4

    Advantages And Limitations

    The section discusses the advantages and limitations of the Bilinear Transform Method for IIR filter design.

    Learning Practice

  • 7.5

    Comparison Of Impulse Invariant And Bilinear Transform Methods

    This section compares the Impulse Invariant and Bilinear Transform methods for designing IIR filters, focusing on their frequency mapping and use cases.

    Learning Practice

  • 7.6

    Applications Of Iir Filters Designed By Impulse Invariant And Bilinear Transform Methods

    This section outlines various applications of IIR filters designed using Impulse Invariant and Bilinear Transform methods across different fields.

    Learning Practice

  • 7.7

    Conclusion

    The conclusion highlights the key differences between the Impulse Invariant and Bilinear Transform Methods for designing IIR filters and their respective applications.

    Learning Practice

References

eeoe-dsp-7.pdf

Class Notes

Memorization

What we have learnt

  • IIR filters can achieve the...
  • The Impulse Invariant Metho...
  • The Bilinear Transform Meth...

Final Test

Revision Tests