Analysis of LTI Systems using Z Transform | Signals and Systems | NerdyBug | 2024
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Hey, Fellow Nerds!
In this video, we dive into analyzing Linear Time-Invariant (LTI) systems using the powerful tool of the Z Transform. We'll explore essential concepts, including causality and stability of discrete-time systems. By applying the unilateral Z Transform, we'll focus on analyzing causal systems that are defined by linear constant coefficient difference equations. Tune in to master the Z Transform and strengthen your understanding of LTI system analysis!
🔥Full series: • Signals and Systems
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📅 Chapters:
00:00:00 Introduction
00:00:21 Analysis of LTI Systems
00:04:34 Causality
00:10:10 Example Problems
00:12:02 Stability
00:12:47 Example Problems
00:14:32 Stability of Causal Systems
00:16:07 Example Problems
00:20:06 Analysing LTI Systems Characterised by Difference Equations
00:24:41 Example Problems
00:48:39 Unilateral Z Transform
00:54:08 Example Problems
00:57:42 Convolution Property
00:58:55 Time Delay
01:05:19 First Difference
01:06:21 Time Advance
01:10:22 Example Problems
01:17:24 Initial and Final Value Theorems
01:18:05 Example Problems
📚 Recommended Reading:
For more in-depth study, refer to the standard textbook:
"Signals and Systems" by Alan V. Oppenheim and Alan S. Willsky.
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