88021
シラバス更新日
2014年3月18日

2014年6月17日
アクセス指標

講義概要

This course provides basic knowledge on digital signal processing. Digital signal processing plays an important role in analysis of various information systems. It is assumed that the student is familiar with complex variables and Fourier theory. Topics include discrete-time signals and systems, sampling theorem, z-transform, discrete-time Fourier transform (DFT), fast Fourier transform (FFT) algorithms, digital filters, and multi-dimensional signal processing.

講義の目的

This course provides basic knowledge on digital signal processing for understanding and analyzing information systems. Topics include discrete-time signals and systems, sampling theorem, the z-transform, discrete-time Fourier transform (DFT), fast Fourier transform (FFT) algorithms, digital filters, and multi-dimensional signal processing.

講義計画

01.信号の離散時間表現 / Discrete-time representation of signals
02.離散時間フーリエ変換 / Discrete-time Fourier transform
03.z変換 / z-transfom
04.離散フーリエ変換 / Discrete Fourier transform (DFT)
05.高速フーリエ変換 / Fast Fourier transform (FFT) algorithms
06.アナログシステムとディジタルシステム / Analog and digital systems
07.FIRディジタルフィルタ / FIR digital filters
08.IIRディジタルフィルタ / IIR digital filters
09.2次元信号と2次元フーリエ変換 / Two-dimensional signals and two-dimensional Fourier transform
10.2次元線形システム / Two-dimensional linear systems
11.2次元標本化定理 / Two-dimensional sampling theorem
12.2次元離散フーリエ，変換画像処理への応用 / Two-dimensional discrete Fourier transform, Application to image processing

教科書・参考書等

Lecture notes will be handed out in class.

関連科目・履修の条件等

It is assumed that the student is familiar with complex variables and Fourier theory.

成績評価

Assignments, midterm and final examinations.