What are the ripple and attenuation in a set of moving average filters?

Question

Ladies, Gentlemen,

Consider following set of moving average filters:

(1) - 100 coefficients equal to 1/100
(2) --- 95 coefficients equal to 1/95
(3) --- 90 coefficients equal to 1/90
(4) --- 85 coefficients equal to 1/85
(5) --- 80 coefficients equal to 1/80
(6) --- 75 coefficients equal to 1/75
(7) --- 70 coefficients equal to 1/70
(8) --- 65 coefficients equal to 1/65
(9) --- 60 coefficients equal to 1/60
(10) - 55 coefficients equal to 1/55

Suppose filters are implemented in sequence. What are ripple and attenuation of the whole set of filters?

Responding to Mr Commentator I define ripple 1 dB, cut off band 1 tone (1/6 of octave) and attenuation as little as possible.

Regards

Answer 1

George Theodosiou: As Matt L. said, your final filter is not a standard filter having, say, a visible passband with some measureable passband ripple. For example, the combined frequency magnitude response of just your first three moving average filters implemented one after the other (what we call "cascaded filters") is the following:

The value of 0.1 on the horizontal axis is equivalent to 0.1 times the filter's input data sample rate measured in Hz.

What we can say is: The combined frequency response of multiple filters implemented one after the other is the product of all the filters' complex-valued frequency responses.