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Simple moving average is a wieghing filter with equal weights. However we are normally more intersted in the information in most recent samples so we may give leeser weight to past samples than the recent sample. This weigh may be linear or exponential. and are usually low pass filters (hence base band).
Check out Lyons book.
Weighting filters are Special filters used in measuring loudness levels, and consequently carried over into audio noise measurements of equipment. The filter design "weights" or gives more attention to certain frequency bands than others. The goal is to obtain measurements that correlate well with the subjective perception of noise.
Weighting filters are a special type of band-limiting filters designed to compliment the way we hear. Since the ear's loudness vs. frequency response is not flat, it is argued, we should not try to correlate flat frequency vs. loudness measurements with what we hear.
i hope you would be satisfied with it
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