Demonstrate average can reduce random noise and improve signal to nosie ratio using MATLAB.

Generate a sine wave Y(t)=sin(2pi * f * t + a)

Let f = 10 Hz and a = 0

Generate noise with gaussian distribution and with mean = 0 and stardard deviation = 0.3. Add noise onto the sine wave. (Using randn) Repeat this process so you get 5 sets of data Y1, Y2, Y3.... Average them and see if noise is reduced.

Calculate RMS and std for Yavg.

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