Finding impulse response

Thread starter yoyo
Start date Dec 7, 2005
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Impulse Impulse response Response

In summary, impulse response is the output of a system when it is stimulated by a short, high-intensity input signal. It is important in science because it provides a way to understand the behavior and characteristics of a system by analyzing its response to an impulse. Impulse response can be measured experimentally or calculated mathematically. It can be used to predict the behavior of a system, but it may not accurately predict the behavior of nonlinear systems. Some applications of impulse response in science include acoustic engineering, signal processing, and neuroscience. However, it has limitations such as assuming linearity and being dependent on the quality of input signals and measurement methods.

Dec 7, 2005

yoyo

can someone show me how to find the impulse response h(t)?

questions: Determine the impulse response h(t) for the system characterized by the differential equation
y(2)(t) + 2 y(1)(t) + 17 y(t) = x(2)(t) + 5 x(1)(t) + 18 x(t)

thanks

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Dec 8, 2005

LeBrad

How about taking the Laplace transform, solving for y/x, and then transforming back?

1. What is impulse response and why is it important in science?

Impulse response is the output of a system when it is stimulated by a short, high-intensity input signal. It is important in science because it provides a way to understand the behavior and characteristics of a system, such as a physical or biological system, by analyzing its response to an impulse.

2. How is impulse response measured or calculated?

Impulse response can be measured experimentally by applying a short, high-intensity input signal to the system and recording its output. It can also be calculated mathematically using complex equations and models that represent the system's behavior and properties.

3. Can impulse response be used to predict the behavior of a system?

Yes, impulse response can be used to predict the behavior of a system, especially in linear systems where the response to a complex input signal can be decomposed into simpler impulse responses. However, it may not accurately predict the behavior of nonlinear systems.

4. What are some applications of impulse response in science?

Impulse response has many applications in various fields of science, such as in acoustic engineering to model the response of a room or in signal processing to remove echoes from audio signals. It is also used in neuroscience to study the response of neurons to stimuli.

5. Are there any limitations or drawbacks to using impulse response in scientific research?

One limitation of using impulse response in scientific research is that it assumes the system being studied is linear, which may not always be the case. Additionally, the accuracy of the results depends on the quality of the input signal and the precision of the measurement or calculation methods used.