Band-stop transfer function design sample using FAZA.

Input parameters:

Fpassleft = 1.0*10^6 (rad/sec)

Fpassright = 2.0*10^6 (rad/sec)

Fstopleft = 4.0*10^6 (rad/sec)

Fstopright = 5.0*10^6 (rad/sec)

Apassleft = 1.0 (db)

Apassright = 1.0 (db)

Astop = 40 (db)

Approximation method: Batterworth

Band-stop specification setup

band-stop specification

Band-stop specification.

Filter properties:

Filter's order: 20

Nominator's degree: 20

Denominator's degree: 20

Transfer function H(s) = P(s)/Q(s)

Transfer function nominator P(s):

P(s) = 1.07374e+129 + S^2 * 1.34219e+117 + S^4 * 7.54975e+104 + S^6 * 2.51658e+092 + S^8 * 5.50502e+079 + S^10 * 8.25754e+066 + S^12 * 8.60160e+053 + S^14 * 6.14400e+040 + S^16 * 2.88000e+027 + S^18 * 8.0e+013 + S^20 * 1.0

Transfer function denominator Q(s):

Q(s) = 1.07374e+129 + S^1 * 2.72567e+123 + S^2 * 4.80170e+117 + S^3 * 5.94432e+111 + S^4 * 5.94690e+105 + S^5 * 4.83848e+099 + S^6 * 3.33769e+093 + S^7 * 1.95500e+087 + S^8 * 9.89628e+080 + S^9 * 4.32087e+074 + S^10 * 1.64160e+068 + S^11 * 5.40108e+061 + S^12 * 1.54629e+055 + S^13 * 3.81837e+048 + S^14 * 8.14866e+041 + S^15 * 1.47659e+035 + S^16 * 2.26856e+028 + S^17 * 2.83447e+021 + S^18 * 2.86204e+014 + S^19 * 20307816.01 + S^20 * 1.0

Factored form of transfer function:

P(s) = 1.0*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)*(s^2 + 8.000000e+012)

Q(s) = 1.0*(s^2 + s*7.385699e+005 + 2.313767e+013)*(s^2 + s*2.553654e+005 + 2.766052e+012)*(s^2 + s*2.101343e+006 + 2.146503e+013)*(s^2 + s*7.831692e+005 + 2.981594e+012)*(s^2 + s*3.127776e+006 + 1.833185e+013)*(s^2 + s*1.364958e+006 + 3.491191e+012)*(s^2 + s*3.620768e+006 + 1.419626e+013)*(s^2 + s*2.040407e+006 + 4.508230e+012)*(s^2 + s*3.466400e+006 + 9.872053e+012)*(s^2 + s*2.809061e+006 + 6.482947e+012)

magnitude response

Magnitude response.

transfer function

Transfer function.

phase response

Phase response.

phase delay

phase delay.

group delay

Group delay.

step response

Step response.

unit impulse response

Unit impulse response.

zero-poles diagramm

Zero-poles diagram.

Matheonics Technology Inc, 2009

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