Re: Can a LPF have linear phase when the impuse response is not symmetric?



dbell wrote:

Hi Dale,

Greg's earlier post on Mar 30 (post 9 on the tree at this point)
pointed out that any real valued filter can be broken into the sum of
an even filter and an odd filter both having the same delay (I think
he said 0 delay, but it generalizes). If adding any two linear phase
filters with the same delay together is guaranteed to produce a linear
phase filter, then adding the even and odd filters must produce a
linear phase filter. That would imply that every real filter must be
linear phase, which isn't true.

What am I missing?

You have it backwards. Any real FIR filter that is not linear phase can be
decomposed into the sum of 2 filters that are both/each linear phase. The
2 linear phase filters have opposite symmetry - One filter is symmetric
and one is anti symmetric.

-jim


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