KhaledOsmani
Full Member level 6
Conider this chebysheb transfer function G(z) given by:
G(z) = [0.0736 + 0.2208z^-1 + 0.2208z^-2 + 0.0736z^-3 + 87z^-1] / [1 - 0.976z^-1 + 0.8568z^-2 - 0.2919z^-3]
how to develop the sum of all pass decomposition of a third order causal bounded-real lowpass type1 above transfer function?
how to get the expression for its power complementary transfer function H(z)? what are the orders of the two allpass transfer function?
Could someone please develop the parallel allpass realization of G(z) and H(z) with at most three multipliers by realizing the two allpass transfer functions as a cascade of first-order and/or second-order sections?
I've tried to search for this on the web, pointless.
Also, how to develop the sum of allpass decomposition of a fifth order causal bounded-real lowpass elliptic transfer function G(z) where:
G(z) = [ 0.0417 + 0.07675z^-1 + 0.1203z^-2 + 0.1203z^-3 + 0.0767z^-4 + 0.0417z^-5] / [1 - 1.8499z^-1 + 2.5153z^-2 + 2.5153z^-2 - 1.9106z^-3 + 0.9565z^-4 - 0.234z^-5]
What is the expression for its power complementary transfer function H(z)? what are the orders of the two allpass transfer functions? and finally,
how to develop the parallel allpass realization of G(z) and H(z) with at most five multipliers by realizing the two allpass transfer functions as a cascade of first - order and/or second-order sections?
thanks,
G(z) = [0.0736 + 0.2208z^-1 + 0.2208z^-2 + 0.0736z^-3 + 87z^-1] / [1 - 0.976z^-1 + 0.8568z^-2 - 0.2919z^-3]
how to develop the sum of all pass decomposition of a third order causal bounded-real lowpass type1 above transfer function?
how to get the expression for its power complementary transfer function H(z)? what are the orders of the two allpass transfer function?
Could someone please develop the parallel allpass realization of G(z) and H(z) with at most three multipliers by realizing the two allpass transfer functions as a cascade of first-order and/or second-order sections?
I've tried to search for this on the web, pointless.
Also, how to develop the sum of allpass decomposition of a fifth order causal bounded-real lowpass elliptic transfer function G(z) where:
G(z) = [ 0.0417 + 0.07675z^-1 + 0.1203z^-2 + 0.1203z^-3 + 0.0767z^-4 + 0.0417z^-5] / [1 - 1.8499z^-1 + 2.5153z^-2 + 2.5153z^-2 - 1.9106z^-3 + 0.9565z^-4 - 0.234z^-5]
What is the expression for its power complementary transfer function H(z)? what are the orders of the two allpass transfer functions? and finally,
how to develop the parallel allpass realization of G(z) and H(z) with at most five multipliers by realizing the two allpass transfer functions as a cascade of first - order and/or second-order sections?
thanks,