Introduction to Digital Signal and System Analysis

Description

As marching into the digital era, many people in different sectors are quite keen to understand why this has happened. They hope to obtain basic principles about digital signals and associated digital systems. Instead of targeting advanced or expert level, they often hope to grasp the subject as efficient and effective as possible without undertaking impossible task under usually limited time and effort available. This book is written for those beginners who want to gain an overview of the topic, understand the basic methods and know how to deal with basic digital signals and systems.

Content

1. Digital Signals and Sampling
   1. Introduction
   2. Signal representation and processing
   3. Analogue-to-digital conversion
   4. Sampling theorem
   5. Quantization in an analogue-to-digital converter
2. Basic Types of Digital Signals
   1. Three basic signals
   2. Other basic signals
   3. Signal shifting, flipping and scaling
   4. Periodic signals
   5. Examples of signal operations
3. Time-domain Analysis
   1. Linear time-invariant (LTI) systems
   2. Difference equations
   3. Block diagram for LTI systems
   4. Impulse response
   5. Convolution
   6. Graphically demonstrated convolution
4. Frequency Domain Analysis
   1. Fourier series for periodic digital signals
   2. Fourier transform for non-periodic signals
   3. Properties of Fourier transform
   4. Frequency response
   5. Frequency correspondence when sampling rate is given
5. Z Domain Analysis
   1. z-transform and inverse z-transform
   2. Relationship between z-transform and Fourier transform
   3. Z as time shift operator
   4. Transfer function
   5. Z-plane, poles and zeros
   6. Stability of a system
   7. Evaluation of the Fourier transform in the z-plane
   8. Characteristics of 1st and 2nd order systems
6. Discrete Fourier Transform
   1. Definition of discrete Fourier transform
   2. Properties of DFT
   3. The fast Fourier transform (FFT)
7. Spectral Analysis by DFT
   1. Digital spectral analysis
   2. Spectra of harmonics
   3. Spectral leakage
   4. Windowing
   5. Performance of windows
   6. Applications of digital spectral analysis
8. Summary
9. Bibliography