Bandpass Filter Design Number of poles 10 Sampling frequency 1.00000 Ripple, dB 0.500000 Pass Band Edge, f/fs 0.100000 0.150000 Stop Band Edge, f/fs 0.853346E-01 0.172647 Stop Band Attenuation 60.0000 dB Elliptic filter transition band, reflection coefficient Theta, degrees 34.2539 rho 0.329771 Numerator and denominator polynomials in 1/z Numerator Denominator 1 0.135104480E-02 1.00000000 2 -0.677755574E-02 -6.80987284 3 0.160415230E-01 23.1280209 4 -0.222667345E-01 -50.2999162 5 0.168716205E-01 76.9924449 6 0.959975069E-17 -86.2537437 7 -0.168716205E-01 71.5634686 8 0.222667345E-01 -43.4551325 9 -0.160415230E-01 18.5707932 10 0.677755574E-02 -5.08224483 11 -0.135104480E-02 0.693921249 Poles in the upper half-plane and their quadratic factors Poles Quadratic factors i pr pq a(1) a(2) 1 0.576497005 0.797102712 -1.15299401 0.967721531 2 0.800476867 0.579458174 -1.60095373 0.976534990 3 0.602584313 0.735776387 -1.20516863 0.904474746 4 0.752390888 0.596993144 -1.50478178 0.922492862 5 0.672987344 0.653565990 -1.34597469 0.880060469 Zeros in the upper half-planne and their quadratic factors Zeros Quadratic factors i zr zq b(1) b(2) 1 0.454621494 0.890684735 -0.909242989 1.00000000 2 0.863753810 0.503914036 -1.72750762 1.00000000 3 0.283487171 0.958976029 -0.566974342 1.00000000 4 0.906402140 0.422415861 -1.81280428 1.00000000 5 -1.00000000 0.000000000 1.00000000 NA 6 1.00000000 0.000000000 -1.00000000 NA Block Diagrams and Use of Quadratic Factors Complex pole and zero, second order stage --- x(1)------------------------>| + |------------------------y(1) (input) | +|___| | (output) | +/|\ | \|/ | \|/ ------- | ------- delay->| T | | | T | |_______| | |_______| | _____ --- _____ | x(2)-> |----->|*b(1)|--->| + |<---|*a(1)|<-----| <-y(2) | |_____| +|___|- |_____| | | +/|\ | | | | \|/ | \|/ ------- | ------- | T | | | T | |_______| | |_______| | _____ --- _____ | x(3)-> `----->|*b(2)|--->| + |<---|*a(2)|<-----' <-y(3) |_____| +|___|- |_____| Real pole and zero, first order stage --- x(1)------------------------>| + |------------------------y(1) (input) | +|___| | (output) | +/|\ | \|/ | \|/ ------- | ------- delay->| T | | | T | |_______| | |_______| | _____ --- _____ | x(2)-> `----->| *b |--->| + |<---| *a |<-----' <-y(2) |_____| +|___|- |_____|