Welcome to Lecture 47 of the course "Digital Signal Processing" by Prof.David Koilpllai
Full Course: https://study.iitm.ac.in/es/course_pages/EE3101.html

Video Overview
This lecture explores the Convolution Theorem within the framework of the Discrete-Time Fourier Transform (DTFT), a cornerstone concept in signal processing. We derive and explain how convolution in the time domain corresponds to multiplication in the frequency domain, illustrating its practical significance through examples including ideal low-pass filtering and delay systems. Additionally, we prove and discuss the Parallel Theorem, connecting its implications to system analysis. This session equips you with a deep understanding of how convolution and the DTFT interplay to simplify the analysis and design of discrete-time systems.

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