Re: Transfer Function of Two Filters in Parallel

Randy Yates wrote:
Chris Barrett <"chrisbarret"@0123456789abcdefghijk113322.none> writes:


I have two filters in parallel. The transfer functions are given by H1
and H2. I've illustrated the setup below.

.-- H1 ---.
| |
in --------| (+)------> out
| |
'-- H2 ---'

How do I find the transfer function of two parallel filters?


One step at a time, using the definition of transfer function:

H(w) = Y(w) / X(w).

Start by computing the output (in frequency) of H1, Y1(w), in terms of
the input (call it X(w)). Then similarly for Y2(w).

Can I sum H1(w) and H2(w) to get H_the_system(w)?
.

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