Signals and Systems - Convolution

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SUMMARY

The discussion focuses on solving a convolution problem in signals and systems, specifically the equation y[n] = x[n] * h[n]. The user struggles with determining the unknown h[n] while knowing the signal x[n] and the convolution's length relationship. Key insights include using placeholders for h[n] and employing a methodical approach similar to solving basic algebraic equations. The importance of flipping the final result in convolution is also emphasized.

PREREQUISITES
  • Understanding of convolution in discrete-time signals
  • Familiarity with digital delta functions
  • Knowledge of the relationship between signal lengths in convolution
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the properties of convolution in discrete-time systems
  • Learn how to apply the digital delta function in signal processing
  • Explore the concept of convolution length and its implications
  • Practice solving convolution problems with known and unknown signals
USEFUL FOR

Students and professionals in electrical engineering, particularly those studying signals and systems, as well as anyone looking to deepen their understanding of convolution techniques in digital signal processing.

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Homework Statement


http://img166.imageshack.us/img166/1162/untitledte2.jpg


Homework Equations


Convolution

y[n] = x[n] * h[n]


The Attempt at a Solution



I've never done convolutions going backwards..

right off the bat, I know I'll noly have 2 terms in the convolution sum, because of x term, but I don't have a clue how to determine the h[n]. It is not possible to write a response y as a convolution between x and h because h is unknown.

Any ideas?
 
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You know what signal x(n) is right? -- hint: what is the value of the digital delta function
You know how long h(n) is right? -- hint: Length of Conv = Length of x + length h -1

Put in place holders for the values of h and grind it out just like you were doing the convolution. It is the same idea as 2+x = 3 except that you have to add several values. Use two strips of paper if that helps. Don't forget to flip the final result.
 

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