8. IIR Filters: Simple Design Example
The chapter details the design of a low-pass IIR filter using two methods: the Impulse Invariant Method and the Bilinear Transform Method. It explains how to derive the z-domain transfer function from an analog filter and describes the implementation of the designed filter using Python. Key points include the analysis of frequency response and filter characteristics, emphasizing the practical applications of digital filter design methods in signal processing.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- IIR filters are essential for efficient signal processing tasks such as noise removal and signal enhancement.
- Two common methods for designing digital IIR filters from analog filters are the Impulse Invariant Method and the Bilinear Transform Method.
- The performance of a filter can be analyzed through its frequency response, which defines how it behaves in the frequency domain.
Key Concepts
- -- IIR Filter
- Infinite Impulse Response filter used for efficient signal processing in applications such as noise removal and frequency shaping.
- -- Impulse Invariant Method
- A technique that maps the impulse response of a continuous system to a discrete one, preserving time-domain characteristics.
- -- Bilinear Transform Method
- A mapping technique from the s-plane to the z-plane allowing for the conversion of analog filters into digital filters while avoiding aliasing.
- -- Frequency Response
- Describes how the output of a system responds at different frequencies, indicating which frequencies are passed or attenuated by the filter.
Additional Learning Materials
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