Undergraduate course on signals and systems(Course-II)

🎉 Course Title: Signals & Systems: From Basics to Advanced Techniques (Course-2)

🚀 Headline: Master Transformation Techniques in Continuous Time: Fourier Series, Fourier Transform, Laplace Transform + Sampling 📐🌀

Introduction: Welcome to the second part of our comprehensive journey through the world of Signals & Systems! This undergraduate course is a natural sequel to our foundational course on the subject. If you're an electrical, electronics, instrumentation, or bio-medical engineering student, understanding transformation theory is key to excelling in signal processing and system analysis. This course builds upon the basics covered in "Signals & Systems: Introduction," so having that knowledge is essential for a seamless learning experience. 🎓

Course Overview:

• Fourier Series (📈)

  • Unveil the secrets of converting complex, periodic signals into simpler sinusoidal components in the frequency domain.
  • Learn how to analyze and synthesize periodic signals using an infinite combination of harmonic frequencies.

• Fourier Transform (🔬)

  • Step into the world of aperiodic signals with the Fourier transform, a pivotal tool in analog communication systems and filter design.
  • Explore how to represent and process non-periodic signals using their frequency spectrum.

• Laplace Transform (🔢)

  • Discover the versatility of the Laplace transform, a mathematical gem that overcomes some limitations of Fourier techniques.
  • Understand the role of Laplace transforms in control systems and analog network analysis by learning about system transfer functions.

• Sampling Theorem (📱)

  • Bridge the gap between continuous and discrete signals with the sampling theorem, setting the stage for advanced topics in digital signal processing.

Course Structure:

1. Fourier Series:

   • Understanding periodic signals in terms of their constituent sinusoidal components.
   • Orthogonality and completeness of Fourier series.

2. Fourier Transform:

   • Converting a signal from time domain to frequency domain for various applications in communication systems.
   • Applications, properties, and the inverse Fourier transform.

3. Laplace Transform:

   • Mastering the Laplace transform technique for solving differential equations.
   • Understanding system stability and performance analysis through transfer functions.

4. Sampling Theorem:

   • Learning about the conditions under which a continuous-time signal can be perfectly reconstructed from its sampled versions.

Instructor Profile:

Mr. Udaya Bhaskar is not just an experienced university faculty member but also a seasoned GATE and ESE examination trainer with over 16 years of teaching prowess. His expertise spans across key areas of electronics, including signal processing, semiconductors, and digital design. With his dynamic teaching style and deep subject knowledge, Mr. Bhaskar is the perfect guide to accompany you on your learning journey in Signals & Systems. 🏫

Why Take This Course?

• Real-world Applications: Gain practical insights into how these concepts are applied in real-world scenarios across various engineering disciplines.
• Advanced Understanding: Elevate your knowledge beyond the basics to tackle complex signal processing tasks.
• Expert Instruction: Learn from an educator with extensive experience and a passion for sharing complex ideas in an accessible manner.
• Interactive Learning: Engage with the material through a mix of theoretical explanations, practical examples, and interactive exercises.

🎧 Enroll now to transform your understanding of signals and systems and unlock new opportunities in your engineering career! 🚀📚