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Help me solve a FIR lattice filter question

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Re: FIR lattice filter

I assume "reflection coeffcient" is no different from an ordinary FIR coefficient.
Filter is y(n) = x(n) * t1 + x(n-1) * t2 + x(n-2) * t3+ x(n-3) * t4
then Y(z) = t1 + t2*z^-1 + t3*z^-2 + t4*z^-3 + ..

Now filter changes to
y1(n) = x(n) * t1 + x(n-1) * 0 + x(n-2) * t2 + x(n-3) * 0 + x(n-4) * t3 + x(n-5) * 0 + x(n-6) * t4...
then Y1(z) = t1 + t2*z^-2 + t3*z^-4 + t4*z^-6 +...

which is clearly Y(z^2). Agree?
-b
 

Re: FIR lattice filter

great idea blux but is the reflection coefficient really not different from the FIR coefficients.
there is a formula relating them called "step up recursion"

If the reflection coefficient is zero, does this mean the coefficients will be zero
 

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