Course title
Analog Filter Design

Course content
This course provides basic knowledge in analog filter design. It will include:
1) synthesis of filter transfer function
2) basic active filter components
3) active-RC filter design and simulation

Note that this course is only available in a face-to-face classes.
Due to the limitation of workstations, the number of student will be limited to 8. The students will be selected based on students skill and motivation.

Students who wish to take this course should contact the lecturer in advance (see the contact address bellow).
Purpose of class
This course aims to make the students understand the basic function of analog filters as well as design steps in active filter implementations.
Goals and objectives
  1. Students can derive the transfer function of first and second order low-pass filters for a given specification
  2. Students can use frequency transformation technique to derive various type filters from a prototype low-pass filter
  3. Student can design an active-RC filter based on a given specification
  4. Student can verify the filter's frequency characteristic using simulator
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Quis & Exercise Midterm project Final project Total.
1. 5% 10% 10% 25%
2. 5% 10% 10% 25%
3. 5% 10% 10% 25%
4. 5% 10% 10% 25%
Total. 20% 40% 40% -
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introduction:
1. What is filters?
2. Types of filters
3. Why analog?
4. Simulation
Find and read literature on filter's function. 60minutes
Simulator installation 60minutes
Review of the class 60minutes
2. Operational amplifiers:
1. How it works
2. Inverting and non-inverting amplifiers
3. Effect of non-idealities
4. Frequency response (bode-plot)
Read literature on operational amplifier. Review the meaning of bode-plot. 100minutes
Review of the class 80minutes
3. First-order filter:
1. Transfer function
2. Lossy and lossless integrator
3. Bilinear transfer function
4. Frequency response
Read literature on the meaning of transfer function and its frequency response. 100minutes
Review of the class 80minutes
4. First-order filter design exercise:
Designing first order filters for different specifications. Design considerations and verification.
Prepare the circuit simulator and try to run simple analysis. 100minutes
Review of the class 80minutes
5. Second-order filter:
1. Transfer function and design parameters
2. Frequency response
3. Transient response
Read literature on second order transfer function 100minutes
Review of the class 80minutes
6. Second-order filter design practice:
1. Second-order circuit (using 3-port RC)
2. Design considerations and verification
Prepare the circuit simulator and try to analyze a first-order filter. 100minutes
Review of the class 80minutes
Preparation of midterm presentation 100minutes
7. Midterm project presentation

Second-order filter with transmission zeros
1. Transfer function
2. Circuit implementation
3. Design example and verification
Prepare for midterm presentation 100minutes
Review of the class 80minutes
8. High-order filter (Butterworth):
1. Butterworth pole locations
2. Butterworth filter design
3. Frequency transformation
Read literature on Butterworth characteristic and frequency transformation 120minutes
Review of the class 80minutes
9. High-order filter:
1. Leapfrog simulation
2. Cascade design
Read literature on leapfrog simulation 100minutes
Review of the class 80minutes
10. High-order filter design practice:
1. Derivation of prototype low-pass filter
2. Frequency transformation
3. Leapfrog simulation / cascade design
Prepare the circuit simulator and try to analyze a second-order filter. 100minutes
Review of the class 80minutes
11. High-order filter design practice:
1. Circuit implementation
2. Verification
3. Design refinement
Review the contents of second-order circuit implementation 100minutes
Refine your design 100minutes
12. High-order filter design practice:
1. Noise analysis and consideration
2. Stability consideration
Run a simple noise analysis on the simulator 60minutes
Read literature on feedback stability 100minutes
Preparation of final presentation 100minutes
13. Final project presentation Prepare for presentation 100minutes
14. Discussion and wrap-up Review of presentation 60minutes
Summarize design problems 60minutes
Total. - - 2600minutes
Evaluation method and criteria
Quiz and excercise 20 pts + presentations 80 pts = 100 pts. (total point)

To earn the credits of this course, student shall:
1. Get at least 60% of the total point
2. Presenting in both midterm and final presentations

In case of practical exams, students will earn 60% of the score if they can correctly design the circuit and perform adequate simulations.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
"Active Filters for Integrated Circuits", W.Heinlein/H. Holmes
"Operational Amplifiers", George Clayton/Steve Winder
1. Understand the meaning of transfer function and its frequency/transient response
2. Understand the basic of electronic circuits and their analysis (bias, small-signal, transient analysis)
3. Have experience using circuit simulator
4. Have experience in electronic work/experiment
Office hours and How to contact professors for questions
  • Wednesday 15:00-17:00
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic problem-solving skills
  • Non-social and professional independence development course
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
Education related SDGs:the Sustainable Development Goals
Last modified : Sat Mar 02 04:32:32 JST 2024