Print

2018　Linear Circuits

Font size  SML

Register update notification mail Add to favorite lecture list
Academic unit or major
Undergraduate major in Information and Communications Engineering
Instructor(s)
Nakamoto Takamichi  Takagi Shigetaka 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon5-6(S421)  Thr5-6(S421)  
Group
-
Course number
ICT.I207
Credits
2
Academic year
2018
Offered quarter
2Q
Syllabus updated
2018/3/20
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

This course focuses on analyses both in time and frequency domains indispensable for circuit analysis. Topics are Fourier and Laplace transforms, linearity and time-invariant circuit, frequency response of linear time-invariant circuit, nodal and mesh analyses and two-port circuit network. Furthermore, this course includes distributed constant circuit as well as lumped constant circuit and the concept of impedance matching. Students will be able to understand analysis methods of lumped constant and distributed constant circuits both in time and frequency domains and to obtain fundamental knowledge of linear circuits.
Knowledge of linear circuit is required for designing electronic circuits indispensable for realizing a modernized information system. Moreover, its concept is widely applicable to designs of various linear systems beyond circuit fields.

Student learning outcomes

By the end of this course, students will be able to
1) analyze circuits using Fourier and Laplace transforms.
2) analyze linear time-invariant circuits.
3) understand impulse and step responses.
4) analyze two-port networks.
5) understand distributed-constant circuits and utilize them.
6) understand the concept of impedance matching and consider it for circuit designs.

Keywords

Linear time-invariant circuit, Laplace transform, Impulse response, Distributed-constant circuit, Impedance matching

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

Class flow

Review the content of previous class, explain the content of each class using many examples and then describe the advanced content. Students are sometimes given exercise problems at the end of class.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Complex muti-dimensional vectors and orthognal functions Explain basic mathematics for linear circuits (1)
Class 2 Fourier series, Fourier transform and Laplace transform Explain basic mathematics for linear circuits (2)
Class 3 Linear circuit elements and linear circuits Explain the concept of linearity and time invariance.
Class 4 Circuit theories Explain circuit theories.
Class 5 Nodal analysis and mesh analysis Explain methods of nodal analysis and mesh analysis using example circuits.
Class 6 Analyses of LCR circuits Explain how to analyze LCR circuits using Laplace transform.
Class 7 Stability and temporal response of linear time-invariant circuit (impulse response and step response) Explain stability of linear time-invariant circuit, its impulse response and its step response.
Class 8 Test level of understanding with exercise problems Test level of understanding for classes 1–7.
Class 9 Two-port networks (Z matrix, Y matrix, F matrix, S matrix, Combination of 2-port networks) Explain Z, Y, F and S matrcies using examples.
Class 10 Properties of two-port networks (Reciprocal theorem, Properties of two-port reactance network) Explain reciprocal theorem and two-port reactance networks.
Class 11 Structures of two-port networks (Fundamentals of filters) Explain various types of filters as a representative of two-port networks.
Class 12 Synthesis of filter circuits (LC two-port networks) Explain how to synthesize filter circuits.
Class 13 Distributed-constant circuits and lumped-constant circuits Derive differential equation of distributed canstant circuits.
Class 14 Reflection and transmission of distributed-constant circuits, standing wave Explain reflection and trasmission of distributed-constant circuit and their analogies with other phyhsical phenomona.
Class 15 Maximum power transfer theorem and impedance matching Explain the concept of impedance matching and its applications to other physical phenomena.

Textbook(s)

Disitrbute course materials during classes if neccesary.

Reference books, course materials, etc.

Linear circuit theory, Shigetaka Takagi, Asakura shoten, ISBN 978-4-254-22163-3 C3055(Japanese)
Fundamentals of circuit theory, Ken Yanagisawa, Denki gakkai, ISBN4-88686-204-7 C3054(Japanese)

Assessment criteria and methods

Students' ability of analysis methods for linear and time-invariant cirucuits will be assessed by midterm and final examinations. Midterm examation 50% and final examination 50%.

Related courses

  • ICT.I203 ： Electric Circuits
  • ICT.I312 ： Linear Electronic Circuits

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students must have successfully completed Electric circuits (ICT .I203) or have equivalent knowledge.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Takamichi Nakamoto nakamoto[at]nt.pi.titech.ac.jp (Ex. 5017),
Shigetaka Takagi takagi[at]ict.e.titech.ac.jp

Office hours

Contact by e-mail or phone in advance to sckedule an appointment.

Page Top