Todays Agenda 1. Filter Transfer function Orders of filter Zeroes and Poles Different Sketch Examples 2. Butterworth Filter Magnitude response of Butterworth filter Magnitude response for various order Graphical construction for determining poles

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Orders of filter The filter transfer function T(s) can b e written as the ratio of two polynomials as The polynomials in the numerator and denominator can b e factored, and T(s) can be expressed in the form

Zeroes and Poles

Zeroes and Poles

Orders of filter

Butterworth Filter First order low pas shown in figure. What needs?

Magnitude Response

Various Order of Butterworth Filter

Examples:

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