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Design of IIR filters
The document discusses the design of Infinite Impulse Response (IIR) filters, outlining the differences between IIR and Finite Impulse Response (FIR) filters. It covers various design methods, including the impulse invariant method, backward difference method, and bilinear transform, detailing their advantages and disadvantages. Additionally, it explains how to apply these methods to design low-pass, high-pass, and other filter types, emphasizing the importance of ensuring filter stability in digital applications.
In this document
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Introduction to IIR filter design, presented by Elena Punskaya, with adaptation from various professors.
Comparison of IIR and FIR filters, focused on Infinite Impulse Response (IIR) characteristics.
Discusses IIR filters as a class of Linear Time-Invariant (LTI) filters emphasizing recursive properties.
Explains the complexity of determining filter coefficients directly, the reliance on analog to digital conversion.
Details the Impulse Invariant method including steps and issues in designing high-pass or band-stop filters.
Focus on mapping poles for stability while transforming an analog filter to digital using the Impulse Invariant method.
Summarizes advantages and disadvantages of the Impulse Invariant method, particularly aliasing issues.
Introduction to the matched z-transform method and comparison with the impulse invariant method.
Describes the backward difference method for s-to-z transformation and its stability issues.
Introduces the bilinear transform as a popular approach to convert analog filters to digital.
Discusses properties of the bilinear transform, including frequency mapping and stability guarantees.
Steps to apply the bilinear transform to design digital filters based on analog specifications.
Example of designing a first-order digital filter using the bilinear transform, showcasing calculations.
Techniques to design high-pass, band-pass, and band-stop filters from low-pass filters.
A closing statement thanking participants.
