Computer Science A (Hardware)
@Meiji University
Descriptions
In this practical course, you will learn the fundamentals of Fourier analysis and digital signal processing (DSP), which are widely applied in research and development fields. These techniques play an important role in many areas, such as algorithm design and system development. By actually working through the exercises, you will discover that this is a very deep and fascinating field.
Outlines
The course begins with an explanation of the mathematical foundations.
- Orthogonality of vectors and integral transforms
- Extension from real numbers to complex numbers
- Transformation from continuous signals to discrete signals
- Understanding and application of the Fast Fourier Transform (FFT) algorithm
In particular, Fourier analysis is sometimes called a "barrier subject" because of its complicated formulas. However, in this course we will use mathematical software (such as Maxima) to intuitively grasp the meaning of the equations.
Contents
Part 1: Course explanation, Report assignments, and an overview of the Fourier transform
Part 2: Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), and Digital Filters
- Digital Signal Processing Exercise (3)
- Digital Signal Processing Exercise (4)
- Digital Signal Processing Exercise (5)
- 64-point FFT Implementation