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

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.

[Matt Fig]

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.

Answer 1

[Wayne King]

Yes, they are. The filter coefficients are also call taps, or tap weights.

[Tom]

thanks again!

Answer 2

[Honglei Chen]

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)

[Tom]

many thanks.