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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.
References
eeoe-dsp-8.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: IIR Filter
Definition: Infinite Impulse Response filter used for efficient signal processing in applications such as noise removal and frequency shaping.
Term: Impulse Invariant Method
Definition: A technique that maps the impulse response of a continuous system to a discrete one, preserving time-domain characteristics.
Term: Bilinear Transform Method
Definition: A mapping technique from the s-plane to the z-plane allowing for the conversion of analog filters into digital filters while avoiding aliasing.
Term: Frequency Response
Definition: Describes how the output of a system responds at different frequencies, indicating which frequencies are passed or attenuated by the filter.