A Practical Approach using Python
This course provides an in-depth exploration of the fundamental principles of Signals and Systems, with an emphasis on practical implementation using Python. Designed for students, professionals, and researchers, it offers a comprehensive understanding of both the theoretical concepts and computational techniques required to analyze and process signals and systems.
What you’ll learn
- Critically evaluate different types of signals and system properties using mathematical models..
- Design and implement signal processing operations (e.g., convolution, filtering) in Python..
- Analyze and interpret signals in time and frequency domains using Fourier, Laplace, and Z-transforms..
- Synthesize real-world solutions by applying systems theory and Python-based simulations..
Course Content
- Fundamentals of Signals and classification of signals –> 10 lectures • 1hr 55min.
- Fourier Series Representation of Periodic Signals –> 8 lectures • 45min.
- Frequency Domain Representation: Fourier Transform –> 8 lectures • 51min.
- Laplace Transform: Definition and region of convergence –> 8 lectures • 1hr 18min.
- Z-Transform –> 6 lectures • 1hr.
- Sampling and Reconstruction Sampling theorem and its significance –> 4 lectures • 34min.
- Applications and Case Studies –> 4 lectures • 4min.
Requirements
This course provides an in-depth exploration of the fundamental principles of Signals and Systems, with an emphasis on practical implementation using Python. Designed for students, professionals, and researchers, it offers a comprehensive understanding of both the theoretical concepts and computational techniques required to analyze and process signals and systems.
The course begins with an introduction to the core concepts of signals and systems, including classifications, properties, and operations on continuous and discrete signals. Through hands-on coding in Python, learners will apply these concepts to solve real-world signal processing problems. The course covers key topics such as convolution, Fourier analysis, Laplace transforms, and Z-transforms, ensuring a thorough understanding of both time and frequency domain analysis.
Learners will gain proficiency in using Python libraries such as NumPy, SciPy, and Matplotlib to simulate, analyze, and visualize signals and systems. The course progresses to advanced topics, such as system stability, filtering techniques, and real-time signal processing applications. By the end of the course, participants will have developed both the theoretical knowledge and practical coding skills necessary to tackle complex signal processing challenges in diverse fields, including communications, control systems, biomedical engineering, and data science.
This course is ideal for individuals with a basic understanding of Python programming and a keen interest in learning about signals and systems.