Filter design - are taps the same are difference equation coefficients?

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Are taps the same are difference equation coefficients?
I'm not sure how they can be actually - or if they are I don't know how they relate.
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Matt Fig
Matt Fig 2012-11-2
Tom's question
Are taps the same are difference equation coefficients?
I'm not sure how they can be actually - or if they are I don't know how they relate.

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Wayne King
Wayne King 2012-5-21
Yes, they are. The filter coefficients are also call taps, or tap weights.

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Honglei Chen
Honglei Chen 2012-5-21
For example, the difference equation below represents a 2nd order IIR filter
y[n] = -a1*y[n-1]-a2*y[n-2] + b0*x[n] + b1*x[n-1] + b2*x[n-2]
The corresponding coefficients are
b = [b0 b1 b2] and a = [1 a1 a2]
To perform the filtering operation, you can do
y = filter(b,a,x)

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