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Linear Time-Invariant(LTI) system Video Lecture | Network Theory (Electric Circuits) - Electrical Engineering (EE)
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FAQs on Linear Time-Invariant(LTI) system Video Lecture - Network Theory (Electric Circuits) - Electrical Engineering (EE)
| 1. What is a Linear Time-Invariant (LTI) system? |  |
| 2. How can I determine if a system is LTI? | |
Ans. To determine if a system is LTI, you need to check for linearity and time invariance. For linearity, you can apply the superposition principle: if the response to a sum of inputs is equal to the sum of the responses to each input, the system is linear. For time invariance, you can apply a time shift to the input and observe if the output shifts correspondingly without changing its form.
| 3. What are the advantages of using LTI systems in analysis? | |
Ans. LTI systems are advantageous because they can be analyzed using powerful mathematical tools like the Laplace Transform and Fourier Transform. These tools simplify the analysis of complex systems by transforming differential equations into algebraic equations. Additionally, LTI systems have predictable behavior, making them easier to design and control.
| 4. What is the impulse response of an LTI system? | |
Ans. The impulse response of an LTI system is the output of the system when the input is an impulse function (also known as the Dirac delta function). It completely characterizes the system's behavior, as any input signal can be expressed as a combination of scaled and shifted impulses. By convolving the input signal with the impulse response, you can find the output of the system.
| 5. How do I use convolution to analyze LTI systems? | |
Ans. Convolution is a mathematical operation used to determine the output of an LTI system given its impulse response and an input signal. The convolution of two functions (the input signal and the impulse response) is computed by flipping one function, shifting it, and integrating the product over time. This process combines the effects of the input signal over time, allowing you to calculate the system's output.
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Apr 10, 2025
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