Low-pass transfer function design sample using FAZA.
Input parameters:
Fpass = 2.5*10^6 (rad/sec)
Fstop = 3.0*10^6 (rad/sec)
Apass = 0.5 (db)
Fstop = 45 (db)
Approximation method: Inverse Chebyshev
Low-pass specification setup
Low-pass specification.
Transfer function properties:
Filter's order: 12
Nominator's degree: 12
Denominator's degree: 12
Transfer function H(s) = P(s)/Q(s)
Transfer function nominator P(s):
P(s) = 6.12047e+078 + S^2 * 2.04016e+066 + S^4 * 2.5502e+053 + S^6 * 1.46925e+040 + S^8 * 3.82617e+026 + S^10 * 3.64397e+012 + S^12 * 0.00562
Transfer function denominator Q(s):
Q(s) = 6.12047e+078 + S^1 * 7.96017e+072 + S^2 * 7.21658e+066 + S^3 * 4.57489e+060 + S^4 * 2.29057e+054 + S^5 * 9.12828e+047 + S^6 * 2.95926e+041 + S^7 * 7.75914e+034 + S^8 * 1.62789e+028 + S^9 * 2.6527e+021 + S^10 * 3.18301e+014 + S^11 * 2.52302e+07 + S^12 * 1.0
Factored form of transfer function:
P(s) = 5.623413e-003*(s^2 + 9.155991e+012)*(s^2 + 1.054416e+013)*(s^2 + 1.429912e+013)*(s^2 + 2.428557e+013)*(s^2 + 6.145584e+013)*(s^2 + 5.282593e+014)
Q(s) = 1.0*(s^2 + s*3.210471e+005 + 7.244460e+012)*(s^2 + s*1.050712e+006 + 8.086841e+012)*(s^2 + s*2.092969e+006 + 1.012629e+013)*(s^2 + s*3.848255e+006 + 1.428671e+013)*(s^2 + s*6.956610e+006 + 2.217774e+013)*(s^2 + s*1.096058e+007 + 3.256118e+013)
Magnitude response.
Transfer function.
Phase response.
Phase delay.
Group delay.
Step response.
Unit impulse response.
Zero-poles diagram.