I cant understand the impulse response in convolution

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SUMMARY

The discussion revolves around understanding impulse response in convolution, specifically how to calculate h-1[k] given an input signal modeled as δ[n+1]. The user is confused about deriving the impulse response from the provided graph and solution, which is not detailed in their textbook. The conversation clarifies that h[n] is assumed to be given for further calculations, leading to the output signal y[n].

PREREQUISITES
  • Understanding of convolution in signal processing
  • Familiarity with impulse response and its mathematical representation
  • Knowledge of discrete-time signals and systems
  • Basic grasp of filtering concepts in signal processing
NEXT STEPS
  • Study the concept of impulse response in digital filters
  • Learn about convolution operations in discrete-time systems
  • Explore the derivation of output signals from given input and impulse responses
  • Investigate the use of MATLAB or Python for simulating impulse responses
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Students in signal processing, engineers working with digital filters, and anyone seeking to deepen their understanding of convolution and impulse response calculations.

Jncik
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Homework Statement



i have this graph

[PLAIN]http://img858.imageshack.us/img858/1346/56954457.png

and i need to find h-1[k]

i don't understand, i know that the impulse response is the response for input -> δ[n], in this case it will be δ[n+1], but i don't understand how to calulate the response..
my book doesn't say anything it just has the solution which is the following

[PLAIN]http://img96.imageshack.us/img96/7766/61813044.png

can you show me how he figured this out?? you d save my life
 
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You're leaving out some context, so I'm going to make a few educated guesses.

I suspect we're talking about some signal that is passed through a filter, which would yield an output signal.

In this case the input signal would be modeled with x[n].
The filter would be modeled with h[n].
And you would have an unmentioned output signal that we'll call y[k].

The correlation would then be given by the following equation:
10ff3eff0b11291928b4035623b1a2f9.png


Basically, what I'm trying to say, based on my series of assumptions, is that h[n] is not calculated here, but given, to be used in a later step.

Do any of my assumptions and my tentative conclusion come near the reality?
 
yes they do, thank you very much, i just wasnt sure that he gave us this to find out the y[n]
 

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