ca2tf

[b,a] = ca2tf(d1,d2) returns the vector of coefficients of b and a. b and a corresponds to the numerator and the denominator of the transfer function H(z), respectively, where d1 and d2 are real vectors corresponding to the denominators of the allpass filters H1(z) and H2(z).

$$H(z)=B(z)/A(z)=\frac{1}{2}\left[H1(z)+H2(z)\right]$$

[b,a] = ca2tf(d1,d2,beta) returns the vector of coefficients b and the vector of coefficients a corresponding to the numerator and the denominator of the transfer function H(z), respectively, where d1 and d2 are complex vectors and beta is a complex scalar.

$$H(z)=B(z)/A(z)=\frac{1}{2}\left[-(\overline{\beta })\cdot H1(z)+\beta \cdot H2(z)\right]$$

[b,a,bp] = ca2tf(d1,d2) also returns the vector bp of real coefficients corresponding to the numerator of the power-complementary filter G(z), where d1 and d2 are real vectors.

$$G(z)=Bp(z)/A(z)=\frac{1}{2}\left[H1(z)-H2(z)\right]$$

[b,a,bp] = ca2tf(d1,d2,beta) also returns the vector of coefficients bp of real or complex coefficients that correspond to the numerator of the power-complementary filter G(z), where d1 and d2 are complex vectors and beta is a complex scalar.

$$G(z)=Bp(z)/A(z)=\frac{1}{2_j}\left[-(\overline{\beta })\cdot H1(z)+\beta \cdot H2(z)\right]$$