Complex exponentials: Oscillations and advantages

This lecture introduces complex exponentials as a powerful tool to represent oscillatory behavior in digital systems. Starting with the basics of discrete-time oscillations, the instructor explains the advantages of using complex numbers to simplify trigonometry and algebraic manipulations, showcasing how changing the phase of a cosine function becomes more straightforward. By the end of the lecture, students will have a solid understanding of how complex exponentials can enhance the analysis and design of digital systems.