HELP Impulse Response h(n) problem

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SUMMARY

The discussion centers on solving an impulse response problem with the given impulse response h(n) = (1/2)^(n-3) U(n-3) and input x(n) = 3^n U(n). Participants are tasked with finding the output using two methods: direct convolution and z-transforms. The initial request emphasizes the need for guidance on these calculations, highlighting the importance of showing prior attempts for effective assistance.

PREREQUISITES
  • Understanding of impulse response and system behavior in discrete-time signals
  • Knowledge of convolution operations in signal processing
  • Familiarity with z-transforms and their application in analyzing linear systems
  • Proficiency in using unit step functions, U(n), in signal definitions
NEXT STEPS
  • Learn the process of direct convolution for discrete-time signals
  • Study the application of z-transforms in system analysis
  • Explore examples of impulse response calculations in signal processing
  • Review the properties of unit step functions and their role in signal definitions
USEFUL FOR

Students and professionals in electrical engineering, particularly those focusing on signal processing, as well as anyone seeking to deepen their understanding of impulse response and system analysis techniques.

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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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.
 

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