HELP Impulse Response h(n) problem

In summary, the conversation is about a problem involving a system with given impulse response and input. The person is seeking help in finding the output using direct convolution and z-transforms. They are also asked to show their attempt at a solution before receiving tutorial help.
  • #1
nien53
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HELP! Impulse Response h(n) problem

Please help me solve this problem. Atleast the correct answer indication is also very much appreciated.

A system has impulse response h(n) = (1/2)^n-3 U(n-3) and the input is x(n) = 3^n U(n)

a)Find the output by direct convolution.

b)Find the output by using z-transforms.

Thanks for your kindness, time and effort.
 
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  • #2


nien53 said:
Please help me solve this problem. Atleast the correct answer indication is also very much appreciated.

A system has impulse response h(n) = (1/2)^n-3 U(n-3) and the input is x(n) = 3^n U(n)

a)Find the output by direct convolution.

b)Find the output by using z-transforms.

Thanks for your kindness, time and effort.

Welcome to the PF. You are required to show us your Attempt at a Solution, before we can offer tutorial help. Please post your work so far on these questions.
 

FAQ: HELP Impulse Response h(n) problem

1. What is an Impulse Response h(n)?

An Impulse Response h(n) is a mathematical function that describes how a dynamic system responds to a brief input signal, or impulse. It is commonly used in signal processing and control systems.

2. How is an Impulse Response h(n) calculated?

The Impulse Response h(n) is usually calculated by applying the input signal to the system and recording the output signal. The ratio of the output to the input is then taken, resulting in the Impulse Response h(n).

3. What does the Impulse Response h(n) tell us about a system?

The Impulse Response h(n) provides information about how a system responds to different input signals. It can tell us about the stability, frequency response, and other characteristics of a system. It is also useful for predicting the output of a system for any given input.

4. How is the Impulse Response h(n) related to the frequency response of a system?

The frequency response of a system can be obtained by taking the Fourier transform of the Impulse Response h(n). This reveals how the system responds to different frequencies, providing valuable information for signal processing and analysis.

5. What are some real-world applications of the Impulse Response h(n)?

The Impulse Response h(n) is used in a wide range of fields, including audio processing, image processing, telecommunications, and control systems. It is also commonly used in the design and analysis of filters, amplifiers, and other electronic systems.

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