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Linear Time Invariant (LTI) Systems Video Lecture | Signals and Systems - Electrical Engineering (EE)
FAQs on Linear Time Invariant (LTI) Systems Video Lecture - Signals and Systems - Electrical Engineering (EE)
| 1. What are the basic properties of Linear Time Invariant (LTI) systems? |  |
Ans.LTI systems have two fundamental properties: linearity and time invariance. Linearity means that the output of the system due to a weighted sum of inputs is equal to the weighted sum of the outputs due to each input individually. Time invariance means that if the input is delayed, the output is similarly delayed by the same amount, indicating that the system's behavior does not change over time.
| 2. How can I determine if a system is LTI? | |
Ans.To determine if a system is LTI, you can check for linearity by verifying if it satisfies superposition (i.e., the output for a sum of inputs equals the sum of the outputs for each input). To check time invariance, you can apply a time shift to the input and see if the output shifts by the same amount without changing its shape.
| 3. What is the significance of the impulse response in LTI systems? | |
Ans.The impulse response of an LTI system is the output when the input is an impulse function (Dirac delta function). It fully characterizes the system, as any input can be expressed as a convolution of the impulse response with the input signal, allowing for the analysis and design of LTI systems in both time and frequency domains.
| 4. How do I analyze LTI systems in the frequency domain? | |
Ans.LTI systems can be analyzed in the frequency domain using the Fourier Transform or the Laplace Transform. The system's behavior can be described by its frequency response, which is the Fourier Transform of its impulse response. This allows for easier analysis of stability, filtering, and system behavior under sinusoidal inputs.
| 5. What is the concept of stability in LTI systems? | |
Ans.Stability in LTI systems refers to the system's ability to produce bounded outputs for bounded inputs, known as BIBO (Bounded Input Bounded Output) stability. A system is stable if its impulse response is absolutely integrable, which means that the integral of the absolute value of the impulse response over all time is finite.
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