Calculating time period of cos(pi/8 n*n)

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Discussion Overview

The discussion revolves around calculating the time period of the discrete signal cos(pi/8 n*n), with a focus on the implications of the n squared term in the context of periodicity. Participants explore the nature of the function and its behavior in comparison to similar continuous time functions.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant requests assistance in calculating the time period of the signal cos(pi/8 n*n).
  • Another participant expresses confusion regarding the n squared term, noting that they have previously solved similar problems where cos was a function of n in continuous time.
  • A different participant suggests that the function may not be periodic and recommends checking the graph using Wolfram Alpha.
  • Another participant proposes writing out the first dozen terms of the function to help clarify its periodicity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the function is periodic, with some suggesting it is not while others propose methods to investigate its periodicity further.

Contextual Notes

The discussion includes assumptions about the nature of periodic functions and the implications of using discrete versus continuous time representations, which remain unresolved.

tina_singh
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can some one please help me calculate the time period of the signal cos(pi/8 n*n).
 
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actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful
 
tina_singh said:
actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful

It seems like that this function is not periodic. Enter this in wolfram alpha, check out the graph.
 
tina_singh said:
actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful

Write out the first dozen or so terms, then the periodicity will become apparent.
 

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