Detrmine the unit impulse response

Thread starter gabel
Start date Feb 6, 2011
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Impulse Impulse response Response Unit

In summary, the unit impulse response is the output of a system when an impulse is applied as the input. It is determined by applying an impulse input and is important because it provides information about the behavior of a system. It is different from frequency response, which represents the behavior at different frequencies, but can be used to calculate it. The unit impulse response can also be used in control systems to design and analyze performance.

Feb 6, 2011

gabel

Homework Statement

Find the unut impulse response h[n] of this system
y[n+1]+2y[n]=x[n]

Homework Equations

I have no clue on how to slove this problem, som pointers would be nice.

Thx

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Feb 7, 2011

viscousflow

Since this a difference equation, try performing a z transform.

Related to Detrmine the unit impulse response

1. What is the unit impulse response?

The unit impulse response is the output of a system when an impulse, or Dirac delta function, is applied as the input. It represents the behavior of the system over time and is often used to analyze the characteristics of a system.

2. How is the unit impulse response determined?

The unit impulse response is determined by applying an impulse input to the system and measuring the resulting output. This can be done using mathematical equations or through experiments in a laboratory setting.

3. Why is the unit impulse response important?

The unit impulse response is important because it provides valuable information about the behavior and characteristics of a system. It can be used to analyze stability, frequency response, and other properties of a system.

4. What is the difference between unit impulse response and frequency response?

The unit impulse response represents the behavior of a system over time, while the frequency response represents the behavior of a system at different frequencies. The unit impulse response is often used to calculate the frequency response of a system.

5. How can the unit impulse response be used in control systems?

The unit impulse response can be used in control systems to design and analyze the performance of the system. It can be used to determine stability, calculate parameters for controllers, and evaluate the response of the system to different inputs.