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XuetangX

Signals and Systems

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Overview






Discover the Fascinating World of Signals and Systems!

 

Embark on an enlightening expedition into the core of communication technology with our "Signals and Systems" course. This foundational course is designed to provide you with a comprehensive understanding of the principles and methodologies that govern the behavior of signals and the systems that process them.

 

**What You'll Learn**

 

1. **Foundations of Signals**: Begin your journey by exploring the essence of signals, delving into the differences between continuous-time and discrete-time signals. Understand the nuances of analog and digital signals and how they form the backbone of modern communication systems.

 

2. **System Analysis**: Uncover the characteristics of systems, particularly Linear Time-Invariant (LTI) systems. Learn how to analyze their behavior using mathematical models, and how these systems manipulate signals to perform various functions.

 

3. **Fourier Transform**: Master the art of Fourier analysis, a transformative tool that translates time-domain signals into the frequency domain. This powerful technique is crucial for understanding how signals behave over time and how they can be filtered and modified.

 

4. **Laplace and Z-Transforms**: Dive into the advanced transforms that extend the concepts of the Fourier Transform to handle more complex system analyses. These mathematical tools are indispensable for understanding the stability and response of systems.

 

5. **Sampling and Reconstruction**: Learn the techniques behind sampling, a fundamental process in digital signal processing. Understand the Nyquist theorem and how it prevents aliasing, ensuring accurate signal reconstruction.

 

6. **Modulation and Demodulation**: Gain insights into how signals are modulated to transmit information over various channels. Explore different modulation schemes and their demodulation processes, which are essential for the transmission of data in communication systems.

 

7. **Filter Design**: Understand the principles behind filter design, which is critical for signal processing. Learn how to create filters that can selectively pass or block certain frequencies, shaping the signal as needed.

 

**Practical Applications**

 

- **Communication Systems**: Apply your knowledge to understand how mobile phones, radios, and the internet transmit data.

- **Audio and Video Processing**: Learn how signals are manipulated in multimedia applications, from music equalizers to video compression.

- **Control Systems**: Grasp the fundamentals of feedback and control, essential for automated systems in industries and robotics.

- **Image Processing**: Explore the role of signal processing in image enhancement and analysis.

 

**Course Highlights**

 

- **Interactive Learning**: Engage with interactive simulations and practical examples that bring the theory to life.

- **Hands-on Projects**: Work on real-world projects that challenge you to apply your skills in innovative ways.

- **Expert Instructors**: Learn from experienced educators who are passionate about sharing their knowledge and insights.

- **Comprehensive Resources**: Access a wealth of learning materials, including lecture videos, reading materials, and quizzes to solidify your understanding.

 

**Why This Course Matters**

 

In today's interconnected world, the ability to understand and manipulate signals is more important than ever. Whether you're aiming for a career in engineering, data science, or any technology-driven field, a strong foundation in signals and systems is indispensable.

 

**Enroll Now!**

 

Don't miss the opportunity to supercharge your technical skills and embark on a path of endless possibilities. Join our "Signals and Systems" course and become a master of the signals that connect our world!




Syllabus

  • Chapter 1 Time-Domain Analysis of Continuous Signals and Systems
    • 1.1 Basic Signals
    • 1.2 Basic Operations on Continuous Signals
    • 1.3 Description of Continuous Systems
    • 1.4 Convolution Integral
  • Chapter 2 Time-Domain Analysis of Discrete Signals and Systems
    • 2.1 Basic Discrete Signals
    • 2.2 Basic Operations on Discrete Signals
    • 2.3 Description of Discrete Systems
    • 2.4 Convolution Sum
  • Chapter 3 Frequency-Domain Analysis of Continuous Signals and Systems
    • 3.1 Fourier Series
    • 3.2 Spectrum of Periodic Signals
    • 3.3 Spectrum of Non-Periodic Signals
    • 3.4 Properties of Fourier Transform
    • 3.5 Frequency-Domain Analysis of LTI Systems
    • 3.6 Sampling
  • Chapter 4 s-Domain Analysis of Continuous and Discrete Signals and Systems
    • 4.1 Laplace Transform
    • 4.2 Properties of Laplace Transform
    • 4.3 Inverse Laplace Transform
  • Chapter 5 z-Transform
    • 5.1 z-Transform
    • 5.2 Properties of Unilateral z-Transform
    • 5.3 Unilateral Inverse z-Transform
    • 5.4 The z-Domain Solutions of Difference Equations
    • 5.5 The Discrete System Block Diagram in z Domain
  • Final test

    Taught by

    Qin Xue, Fang Wang, and Juju Hu

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