Frequency Response of 3-Point Averaging System

AI Thread Summary
The discussion focuses on determining the frequency response of a 3-point averaging system defined by the equation y[n] = (x[n] + x[n-1] + x[n-2]) / 3. The main challenge is understanding how to find the fundamental period for the system, which is crucial for calculating the frequency response. The user expresses confusion about the necessity of the fundamental period in this context, suggesting that the primary goal may be to find the amplitude and phase of the output for a sinusoidal input. The conversation highlights the importance of impulse response in deriving the frequency response, while questioning the relevance of the fundamental period. Ultimately, the discussion seeks clarity on these concepts to successfully analyze the system's behavior.
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Homework Statement



y[n]= (x[n]+x[n-1]+x[n-2]) / 3 is the input output relationship

Homework Equations



Find the Frequency response.

The Attempt at a Solution



Ok I am very aware that I can easily find the impulse response and graph this and I can even get the general format for the frequency response, however how doyou figure out the fundamental period? I know its 2pi/T, where T is the fund. period but I don't see how I can graph x[n], y[n], or find the period
 
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I don't see why you need the fundamental period (whatever that means in this situation). Sounds like they just want the amplitude, and possibly the phase, of the output given a unit-amplitude, sinusoidal input.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

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