Coefficients Calculation

Now that the specifications have been given, we can proceed to step 2 to determine the H(z) function.

( )

( )

1

1

tan

1

+

−













=

=

z

z

f

f

s

s

p

s

H

z

H

π

( )

(

)

(

)

(

) (

)

(

)

(

)

(

)

;

2

1

2

2

2

1

1

2

1

2

1

2

1

2

1

2

1

1

1

2

1

1

1

1

1

2

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

1

1

1

2

a

a

a

z

a

a

z

z

z

a

z

z

a

z

a

z

z

z

z

a

z

z

a

z

z

a

s

s

z

H

z

z

a

s

−

+

+

−

+

+

+

+

+

=

+

+

+

−

+

+

−

+

+

=

+













+

−

+













+

−

=

+

+

=

+

−

=

( )

,

1

2

1

1

2

2

1

2

1

2

2

1

1

2

2

1

1

0

2

2

2

1

2

2

2

2

2

1

−

−

−

−

−

−

−

−

+

+

+

+

=









−

+

+













−

+









+

+

+

+

=

z

a

z

a

z

b

z

b

b

z

a

a

a

z

a

a

a

a

a

z

z

z

H

Where

376382

.

1

20000

6000

.

tan

tan

=













=









=

π

π

s

p

f

f

a

2

2

0

2

1

a

a

a

b

+

+

=

0

1

2b

b

=

0

2

b

b

=

(

)

2

2

1

2

1

1

2

a

a

a

a

+

+

−

=

a

a

a

a

a

2

1

2

1

2

2

2

+

+

−

+

=

.