Frequency Response of 3-Point Averaging System

[tenacity2986]

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

 

[Redbelly98]

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.