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Initial Value Theorem of Z transform Video Lecture | Signals and Systems - Electrical Engineering (EE)
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FAQs on Initial Value Theorem of Z transform Video Lecture - Signals and Systems - Electrical Engineering (EE)
| 1. What is the Initial Value Theorem of Z transform? |  |
Ans. The Initial Value Theorem of Z-transform states that the initial value of a discrete-time signal can be determined by taking the limit of the Z-transform as the variable z approaches infinity.
| 2. How is the Initial Value Theorem used in practice? | |
Ans. In practice, the Initial Value Theorem is used to determine the initial value of a discrete-time signal by finding the constant term in the Laurent series expansion of the Z-transform as z approaches infinity.
| 3. Can the Initial Value Theorem be used for all types of signals? | |
Ans. The Initial Value Theorem is applicable to signals that have a finite initial value. For example, it can be used to determine the initial value of a causal signal, but it cannot be applied to signals with an infinite initial value.
| 4. What are the limitations of the Initial Value Theorem? | |
Ans. The Initial Value Theorem has a few limitations. Firstly, it can only be applied to signals with a finite initial value. Additionally, it cannot be used if the Z-transform has poles at z = 0. Lastly, it may not provide accurate results for signals with a rapidly changing initial value.
| 5. How does the Initial Value Theorem relate to the Laplace transform? | |
Ans. The Initial Value Theorem of Z-transform is analogous to the initial value theorem of the Laplace transform. Both theorems provide a way to determine the initial value of a signal by analyzing the behavior of the transform as the variable approaches infinity. However, the Laplace transform is applicable to continuous-time signals, while the Z-transform is used for discrete-time signals.
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Nov 06, 2024 Last updated |
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