Guest
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 Posted:
Wed Dec 07, 2005 5:16 pm Post subject:
How to judge if a filter "filters" anything against a sequen |
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Hello,
I am thinking about a question about how to figure out whether a linear
filter really filters out anything against a particular sequence (or
any sequence). Here I don't want to compute w/ convolution, but I don't
know if it is possible to think in a convolution way for my problem.
For example, I might have 2 filters h1 and h2,where
h1 = [-1 0 1],
h2 = [-1 2 -1]
Their magnitude responses look different, yes. One has its peak at 1/4
pi and the other at 1/2 pi. However, I shall want to get more feeling
for what they will do to the following two exemplary sequences:
s1 = [1 1 10 10]
s2 = [1 10 1 1]
Based on my past experiences of analyzing w/ DFT, I know that s1
possesses more strong freq. components than s2, which only has a single
cycle of the highest frequency signal. Therefore, if s1 is fed into h1,
it will have more stronger magnitude response at the "edge" than s2. On
the other hand, the edge in s2 can be filters out with the h2, but
there will be nothing if I use h1.
I'm not sure if my English is good enough to make my point clear. But
I'm sure that there must be more insights I can have when looking at a
linear filter and a sequence.
Any comment or reference will be equally nice for me. Thank you for
your reading :)
MJ |
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