def func_tranf(self):
chebyshev.raizes_unit(self)
poli_polos = np.poly(self.Sk)
polos = poli_polos.real
poli_zeros = list()
zeros = list()
for i in range(1, self.Nv+1):
Wz = 1 / np.cos((2*i - 1) * np.pi / (2*self.N))
poli_zeros.append(complex(0, -Wz))
poli_zeros.append(complex(0, Wz))
poli_zeros = np.poly(poli_zeros)
zeros = poli_zeros.real
aux = polos[-1]
for i in range(0, len(polos)):
polos[i] = polos[i] * zeros[-1]
for i in range(0, len(zeros)):
zeros[i] = zeros[i] * aux
if self.tipo == "PB":
num, den = signal.lp2lp(zeros, polos, self.Ws)
elif self.tipo == "PA":
num, den = signal.lp2hp(zeros, polos, self.Ws)
elif self.tipo == "PF":
num, den = signal.lp2bp(zeros, polos, self.Wo, self.Bs)
elif self.tipo == "RF":
num, den = signal.lp2bs(zeros, polos, self.Wo, self.Bs)
H = signal.TransferFunction(num, den)
self.H = H
return H
def transfunc(self, polos, **kwargs):
wc = kwargs.get('wc', 0)
w0 = kwargs.get('w0', 0)
Bw = kwargs.get('bw', self.Bp)
ordem = kwargs.get('ord', self.ordem)
fcn = 0
if self.tipo == 'lp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(self.den_norm))
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[i] * np.power(wc, i)
num = denm[-1]
fcn = signal.TransferFunction(num, denm)
if self.tipo == 'hp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(polos) + 1)
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[len(polos) - i] * np.power(wc, i)
num = np.zeros(len(polos) + 1)
num[0] = denm[0]
fcn = signal.TransferFunction(num, denm)
if (self.tipo == 'bp'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bp(self.den_norm[-1], self.den_norm, w0, Bw)
fcn = signal.TransferFunction(num, den)
if (self.tipo == 'bs'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bs(self.den_norm[-1], self.den_norm, w0, Bw)
fcn = signal.TransferFunction(num, den)
return fcn
def transfunc(self, polos, **kwargs):
wc = kwargs.get('wc', 0)
w0 = kwargs.get('w0', 0)
Bw = kwargs.get('bw', self.Bp)
ordem = kwargs.get('ord', self.ordem)
resp = kwargs.get('response', self.tipo)
G_db = kwargs.get('G', self.G_bp)
fcn = 0
if resp == 'lp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(self.den_norm))
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[i] * np.power(wc, i)
num = denm[-1]
fcn = signal.TransferFunction((pow(10, -G_db / 20.0)) * num, denm)
if resp == 'hp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(polos) + 1)
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[len(polos) - i] * np.power(wc, i)
num = np.zeros(len(polos) + 1)
num[0] = denm[0]
fcn = signal.TransferFunction((pow(10, -G_db / 20.0)) * num, denm)
if (resp == 'bp'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bp(self.den_norm[-1], self.den_norm, w0, Bw)
print('EMBAIXO')
print(self.den_norm)
fcn = signal.TransferFunction((pow(10, -G_db / 20.0)) * num, den)
if (resp == 'bs'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bs(self.den_norm[-1], self.den_norm, w0, Bw)
fcn = signal.TransferFunction((pow(10, -G_db / 20.0)) * num, den)
self.fcn = fcn
return fcn
def TransfFreq(self, zeros, polos, Kp):
if self.tipo == "PB":
num, den = signal.lp2lp(zeros, polos, Kp)
elif self.tipo == "PA":
num, den = signal.lp2hp(zeros, polos, Kp)
elif self.tipo == "PF":
num, den = signal.lp2bp(zeros, polos, Kp, self.Bp)
elif self.tipo == "RF":
num, den = signal.lp2bs(zeros, polos, Kp, self.Bp)
H = signal.TransferFunction(num, den)
return H
def func_tranf(self):
chebyshev.raizes_unit(self)
poli = np.poly(self.Sk)
coef = poli.real
D = list()
aux = 0
for i in range(-self.N, 1):
D.append(coef[aux] * pow(self.Wp, i))
aux = aux + 1
if self.N % 2 != 0:
if self.tipo == "PB":
num, den = signal.lp2lp(coef[-1], coef, self.Wp)
H = signal.TransferFunction(num[-1], den)
elif self.tipo == "PA":
num, den = signal.lp2hp(coef[-1], coef, self.Wp)
H = signal.TransferFunction(num, den)
elif self.tipo == "PF":
num, den = signal.lp2bp(coef[-1], coef, self.Wo, self.Bp)
H = signal.TransferFunction(num, den)
elif self.tipo == "RF":
num, den = signal.lp2bs(coef[-1], coef, self.Wo, self.Bp)
H = signal.TransferFunction(num, den)
else:
aux = 1 / np.sqrt(1 + self.e**2)
if self.tipo == "PB":
num, den = signal.lp2lp(coef[-1], coef, self.Wp)
H = signal.TransferFunction(num * aux, den)
elif self.tipo == "PA":
num, den = signal.lp2hp(coef[-1], coef, self.Wp)
H = signal.TransferFunction(num * aux, den)
elif self.tipo == "PF":
num, den = signal.lp2bp(coef[-1], coef, self.Wo, self.Bp)
H = signal.TransferFunction(num * aux, den)
elif self.tipo == "RF":
num, den = signal.lp2bs(coef[-1], coef, self.Wo, self.Bp)
H = signal.TransferFunction(num * aux, den)
self.H = H
return H
def transfunc(self, polos, **kwargs):
wp = kwargs.get('wp', 0)
w0 = kwargs.get('w0', 0)
Bw = kwargs.get('bw', self.Bp)
ordem = kwargs.get('ord', self.ordem())
resp = kwargs.get('response', self.tipo)
G_db = kwargs.get('G', self.G_bp)
fcn = 0
if resp == 'lp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(self.den_norm))
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[i] * np.power(wp, i)
if (ordem % 2 == 0):
num = denm[-1] * (1 / np.sqrt(1 + np.power(self.eps, 2)))
else:
num = denm[-1]
fcn = signal.TransferFunction(pow(10, -G_db / 20.0) * num, denm)
if resp == 'hp':
self.den_norm = np.real(np.poly(polos))
denm = np.zeros(len(polos) + 1)
for i in range(0, len(polos) + 1):
denm[i] = self.den_norm[len(polos) - i] * np.power(wp, i)
num = np.zeros(len(polos) + 1)
if (self.ordem() % 2 == 0):
num[0] = denm[0] * (1 / np.sqrt(1 + np.power(self.eps, 2)))
else:
num[0] = denm[0]
fcn = signal.TransferFunction(pow(10, -G_db / 20.0) * num, denm)
if (resp == 'bp'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bp(self.den_norm[-1], self.den_norm, w0, Bw)
if (self.ordem() % 2 == 0):
num[0] = num[0] * (1 / np.sqrt(1 + np.power(self.eps, 2)))
else:
num[0] = num[0]
fcn = signal.TransferFunction(num, den)
if (resp == 'bs'):
self.den_norm = np.real(np.poly(polos))
[num, den] = signal.lp2bs(self.den_norm[-1], self.den_norm, w0, Bw)
if (self.ordem() % 2 == 0):
num = num[::] * (1 / np.sqrt(1 + np.power(self.eps, 2)))
else:
num[-1] = num[-1]
fcn = signal.TransferFunction(num, den)
self.fcn = fcn
return fcn
def func_tranf(self):
butterworth.raizes_unit(self)
poli = list()
poli = np.poly(self.Sk)
coefReal = poli.real
if self.tipo == "PB":
num, den = signal.lp2lp(coefReal[-1], coefReal, self.Wc)
H = signal.TransferFunction(num, den)
elif self.tipo == "PA":
num, den = signal.lp2hp(coefReal[-1], coefReal, self.Wc)
H = signal.TransferFunction(num, den)
elif self.tipo == "PF":
num, den = signal.lp2bp(coefReal[-1], coefReal, self.Wo, self.Bw)
H = signal.TransferFunction(num, den)
elif self.tipo == "RF":
num, den = signal.lp2bs(coefReal[-1], coefReal, self.Wo, self.Bw)
H = signal.TransferFunction(num, den)
self.H = H
return H
def fun_trans(self):
k = self.raizes()
wc = self.freq_corte()
Bw = (wc[2] - wc[1])
self.nden = np.real(np.poly(k)) #denominador normalizado
den = np.zeros(
len(k)) #criando o array para o denominador transformado
if self.tipo == 'Passa-baixa':
[num, den] = sig.lp2lp(self.nden[-1], self.nden, wc[0])
FT = sig.TransferFunction(num,
den) #gerando a FT para a freq. de corte
if self.tipo == 'Passa-alta':
[num, den] = sig.lp2hp(self.nden[-1], self.nden, wc[0])
FT = sig.TransferFunction(num, den)
if self.tipo == 'Passa-faixa':
[num, den] = sig.lp2bp(self.nden[-1], self.nden, wc[0], Bw)
FT = sig.TransferFunction(num, den)
if self.tipo == 'Rejeita-faixa':
[num, den] = sig.lp2bs(self.nden[-1], self.nden, wc[0], Bw)
FT = sig.TransferFunction(num, den)
return FT
def fun_trans(self):
raizes = self.raizes()
wc = self.freq_corte()
n = self.ordem()
eps = self.epso()
nden = np.real(np.poly(raizes))
if (n % 2 == 0):
nnum = nden[-1] * (1 / np.sqrt(1 + np.power(eps, 2)))
else:
nnum = nden[-1]
if self.tipo == 'Passa-baixa':
[num, den] = sig.lp2lp(nnum, nden, wc)
if self.tipo == 'Passa-alta':
[num, den] = sig.lp2hp(nnum, nden, wc)
if self.tipo == 'Passa-faixa':
Bw = self.Wp2 - self.Wp1
[num, den] = sig.lp2bp(nnum, nden, wc, Bw)
if self.tipo == 'Rejeita-faixa':
Bw = self.Wp2 - self.Wp1
[num, den] = sig.lp2bs(nnum, nden, wc, Bw)
FT = sig.TransferFunction(num, den)
return FT
from scipy import signal
import matplotlib.pyplot as plt
lp = signal.lti([1.0], [1.0, 1.5])
bs = signal.lti(*signal.lp2bs(lp.num, lp.den))
w, mag_lp, p_lp = lp.bode()
w, mag_bs, p_bs = bs.bode(w)
plt.plot(w, mag_lp, label='Lowpass')
plt.plot(w, mag_bs, label='Bandstop')
plt.semilogx()
plt.grid()
plt.xlabel('Frequency [rad/s]')
plt.ylabel('Magnitude [dB]')
plt.legend()
