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understanding filter coefficient example

yefj

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Hello,i am trying to understand this book example,at first they say that the source is 3.72 which shown bellow
then they say the filter is described at 3.10 figure shiwn bellow.
where did they put they theta angle? i could not find the logical link for this simple example.
where do i go wrong understanding the logical ink in the example bellow?
Thansk.
Thanks.



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