Neil E. Cotter

Associate Professor (Lecturer)

Electrical and Computer Engineering Dept

University of Utah

Last Updated: 12/2/21

Filters

RC and RL filters

Gallery | (pdf)

Example 1 (pdf)

Example 2 (pdf)

Example 3 | (pdf)

Example 4 (pdf)

Example 5 (pdf)

RLC filters

Gallery | (pdf)

Frequency response

Example 1 (pdf)

Example 2 (pdf)

Example 3 | (pdf)

Example 4 (pdf)

Example 5 (pdf)

LC resonance | (pdf)

Example | (pdf)

Example 2 (pdf)

Qualitative response | (pdf)

Example 1 | (pdf)

Example 2 (pdf)

Example 3 | (pdf)

Example 4 | (pdf)

Example 5 | (pdf)

Frequency response design

Example 1 (pdf)

Idealized models

Generic model of Input/Output impedance

Cascaded gains

Ploes and zeros

Pole/zero superposition

Freq response from poles and zeros

Gain from dist to poles/zeros

ex 1 (pdf)

ex 2 (pdf)

Phase from angles of poles/zeros

ex 1

Active filters

Butterworth filter

Characteristics (pdf)

Chebyshev filter

Characteristics

Sallen-key filter

Characteristics (pdf)

Derivation (pdf)

Butterworth calculations (xlsx)

Bode plots

Db scale

Plot rules

Simple poles or zeros (pdf)

Conjugate pair of poles (pdf)

2-pole low-pass

Peak response magnitude derivation (pdf)

Peak response freq derivation (pdf)

Magnitude plot paper (pdf)

Phase plot paper (pdf)

MATLAB

Freq resp magnitude plot

FilterFreqRespMagPolesZerosLinScale.m

Freq resp phase plot

FilterFreqRespPhasePolesZerosLinScale.m

Magnitde Bode plot from poles and zeros

Plot_H_db_vs_log_w.m

Phase Bode plot from poles and zeros

Plot_Phase_vs_log_w.m