Tables and Formulas - Digital Signal Processing: An Introduction with MATLAB and Applications - page 317

Direct Form − I

1

b o

x ( n ) y ( n )

z −1 z −1

b 1 − a 1

z −1 z −1

b 2 − a 2

b M−1

− a N−1

z −1 z −1

b M

− a N

H 1 ( z ) [ The Zeros ] H 2 ( z ) [ The Poles ]

Direct Form − II

1 1

b o

x ( n ) y ( n )

z −1

− a 1 b 1

z −1

− a 2 b 2

b M−1

− a M−1

z −1

b M

−a M

− a N−1

z −1

− a N

Poles Zeros