2025Year

First Semester

Fundamentals of Digital Signal Processing

Lecture

Fundamentals of Digital Signal Processing

Z0400001 Fundamentals of Digital Signal Processing

SAITO Hidetoshi

2.0Credits

Tue.4Period

Shinjuku Remote

A) A high degree of specialized expertise　40%
B) The skills to use science and technology　60%
C) The ability to conduct research independently, knowledge pertaining to society and occupations, and sense of ethics required of engineers and researchers　0%
D) Creative skills in specific areas of specialization　0%

This lecture is a graduate-level of signal processing fundamentals and more advanced related topics and applications. In this lecture, it intends to introduce the important methods and usefulness in signal processing. Students acquire the analysis and representation of various digital signal processing systems. This lecture needs the several knowledge of applied mathematics for complex analysis, Fourier series and Hilbert spaces. It is suitable for a wide range of students involved with or interested in signal processing applications through this lecture. On the completion of this lecture, the students should be able to:
1. have an awareness of the signal processing methods of various continuous waveforms
2. have an awareness of the discrete-time (digital) signal processing methods of data sequences
3. have an awareness of the methods for data analysis, signal enhancement and reduction, signal detection and estimation.

It is desirable that you learn the basics or related topics of following subjects in undergraduate education; signal processing, electronic circuitry, communication systems and so forth.

Support for self-learning using ICT

1. Introduction to signal processing

Signal analysis for continuous-time signals (real and complex signals)

2. Frequency analysis for continuous-time signals

The Fourier series and transform

Periodic input functions - the Fourier series

Aperiodic input functions - the Fourier transform

3. Window functions for band-limiting frequency

Frequency-domain and time-domain analysis technique using band-limiting

The transfer characteristics of several window functions

4. Signal analysis between time-domain and frequency-domain responses

The Frequency and impulse responses of a given linear system

Convolution properties

5. Nyquist sampling theorem and Nyquist criterion

Sampling band-limited signals at a frequency greater than the Nyquist frequency

6. The discrete Fourier transform (DFT)

Fast Fourier Transform (FFT)

Inverse Discrete Fourier Transform (IDFT)

Discrete Fourier Transform Errors

7. Statistical properties of random variables

Conditional probability and Bayes' Theorem

Random variable

Probability distribution functions and central limit theorem

8. Random Signals and Processes

Stationary and non-stationary processes

Ergodic process

9. The spectral power density of a random process and the Wiener-Khinchin theorem

Random processes and the autocorrelation functions

The spectral power densities of the random processes

The Wiener-Khinchin theorem relating the power spectrum of a stationary random signal and its correlation function

10. Discrete Fourier transform and its applications

Basics and properties of DFT

DFT as a linear transformation

11. Causal signals and information theory

Signals and systems from the viewpoint of causality

Causality signal and mutual information

12. The Differentiator and integrator

The discrete-time convolution sum

The z-transform

Linear system input/output relationships with random inputs

13. The design of FIR and IIR filters

Frequency response, poles and zeros

The design of FIR filters

The design of IIR filters

Direct-form filter structures

14. Minimum and non-minimum phase systems

Systems with minimum and non-minimum phase behavior

Minimum-phase signals and filters

15. Reviewing of the lecture

However, several themes covered in this lecture may be changed or revised depending on the course year. In such cases, notification will be given at the first class. In addition, every teaching materials will be uploaded to "KU-LMS" in advance for the preparatory study. So please read the relevant parts and make preparations such as researching unclear parts. After every class, you will be given assignments to deepen your understanding. Based on the knowledge gained in this lecture, please review the unclear points and solve the assignments on your own. As for the preparatory study for the 15th class, please review all the previous classes.

Students must submit a report at the end of term about a theme related to signal processing in their own research fields. In this report, the topic is selected from the peer-reviewed English literature in academic journals or reviewed conference proceedings. The selected literature must be registered with the database of Elsevier's Scopus website.

The assignment for a learning subject will be explained in the teaching material for a next lecture.

Uploads a teaching material (handout) to "KU-LMS" every lecture.

B. P. Lathi and Zhi Ding, "Modern Digital and Analog Communication Systems (4th International Edition)," Oxford University Press, July 2009.

Available:19:30-20:15 (every Tuesday during the first semester except National Holidays or substitute public holidays)
Location: A-2274 (the 22nd floor of the Shinjuku school building)
Please directly contact me by e-mail using the contact e-mail address.
If this lecture is provided by remote teaching and learning by utilizing internet, e-mail is the only contact method.
The contact e-mail address will be notified to students after the first lecture.

It will be suitable for those who want to deepen their understanding of digital signal processing one step further.

Not applicable

NA (N/A)

Electrical Engineering and Electronics Program