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(English) || Example 2.1 & 2.3 || Convolution of Finite & Infinite series Discrete Time LTI System 00:00 Introduction 00:05 LTI System 02:45 Convolution explained 04: 30 Discrete Time LTI System 08:00 Problem solving strategy 09:30 Finite Series Examples 09:45 Example 2.1 15:00 Mathematical and Tabula methods 17:55 Infinite Series Example 22:00 Example 2.3 Example 2.1: Consider an LTI system with impulse response h[n] and input x[n], as illustrated in Figure 2.3(a). For this case, since only x[O] and x[1] are nonzero, eq. (2.6) simplifies to the expression y[n] = x[O]h[n- 0] + x[1]h[n - 1] = 0.5h[n] + 2h[n- 1]. (2.8) Example 2.3: Consider an input x[n] and a unit impulse response h[n] given by x[n] = anu[n], h[n] = u[n], Let x[n] = 8[n] + 28[n- 1] - 8[n- 3] and h[n] = 28[n + 1] + 28[n- 1]. In this video, we dive into Ex 2.1, where we explore the fascinating world of convolution in discrete time LTI systems. Understanding convolution is crucial for analyzing systems with impulse responses, and we break it down step-by-step. Whether you're a student or a professional, this video will provide you with the tools you need to master LTI systems. Join us as we unravel the complexities of these concepts and empower your learning journey! #Convolution #LTISystems #DiscreteTime #alexandersadiku #ImpulseResponse #alexandersadiku #example 2.1 #SignalProcessing #Engineering #MathTutorial #LearnWithUs Playlist: • Signals & Systems (English)(Oppenheim) # / @electricalengineeringacademy Electrical Engineering Academy Email [email protected] WhatsApp 923454030919