Amplitude reduction of Simple Moving Average on sinusoid

1. What is the amplitude of the sinusoidal function?
2. What is the effect of the moving average filter?
3. What will be the response of a moving average filter of an impulse response?

What is the amplitude of the sinusoidal function?

The amplitude of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

What is the effect of the moving average filter?

Of all the possible linear filters that could be used, the moving average produces the lowest noise for a given edge sharpness. The amount of noise reduction is equal to the square-root of the number of points in the average. For example, a 100 point moving average filter reduces the noise by a factor of 10.

What will be the response of a moving average filter of an impulse response?

The moving average filter has an impulse response = rectangular function rect(.). From Lecture 3, slide 6, we have learned that the Fourier transform of a rectangular function is of the form of sin(x)/x, (or sinc(x)). Shown here is the frequency response of the moving average filter for different number of taps.