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feat: add multiple port case

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mayge
2025-09-22 22:21:43 -04:00
parent 4450653526
commit 9a2df95f00
3 changed files with 322 additions and 133 deletions
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235
core/MultiplePortQR.py
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@@ -3,7 +3,8 @@ from core.sk_iter import generate_starting_poles
from scipy.linalg import block_diag
import skrf as rf
from skrf import VectorFitting
from core.freqency import auto_select
from core.freqency import auto_select_multple_ports
import matplotlib.pyplot as plt
import random as rnd
class MultiplePortQR:
@@ -23,6 +24,7 @@ class MultiplePortQR:
# self.freqs = freqs
self.freqs = freqs
self.H = H
self.ports = H.shape[1]
self.s = self.freqs * 2j * np.pi
self.P = len(poles)
self.poles = poles
@@ -128,7 +130,6 @@ class MultiplePortQR:
- gamma (complex)
Optional 'weights' (K,) apply row scaling: SK weighting if 1/|D_prev|.
"""
H = np.asarray(H, np.complex128).reshape(-1,1)
K, N = self.Phi.shape
one = np.ones((K, 1), np.complex128)
Phi = self.Phi
@@ -137,40 +138,74 @@ class MultiplePortQR:
keep = np.ones(K, dtype=bool)
# SK weighting (applied only to the (73) rows we keep in LS)
if weights is None:
weights = np.diag(np.ones(len(H), np.complex128))
else:
weights = np.diag([1/res for res in weights])
if self.fit_constant:
Phi_w = np.hstack([one, Phi])
M = np.hstack([Phi, -(H * Phi_w)]) # (K, 2N+1), complex
else:
M = np.hstack([Phi, -(H * Phi)]) # (K, 2N), complex
if has_dc:
# Enforce DC response exactly:
k0 = int(np.argmin(np.abs(self.freqs)))
keep[k0] = False
M_w = weights @ M
A_re = np.real(M_w[keep, :])
A_im = np.imag(M_w[keep, :])
if self.fit_constant:
Phi_w = np.hstack([one, Phi])
index = 0
M_kp = None
for i in range(self.ports):
for j in range(self.ports):
M0 = np.zeros((K,N*self.ports**2),dtype=complex)
M0[:,index*N:(index+1)*N] = Phi
M0 = np.hstack([M0, -(H[:,i,j].reshape(-1,1) * Phi_w)]).reshape((K, -1))[keep,:] # (K, 2N), complex
index+=1
M_kp = M0 if M_kp is None else np.vstack([M_kp, M0])
assert M_kp is not None
else:
index = 0
M_kp = None
for i in range(self.ports):
for j in range(self.ports):
M0 = np.zeros((K,N*ports**2),dtype=complex)
M0[:,index*N:(index+1)*N] = Phi
M0 = np.hstack([M0, -(H[:,i,j].reshape(-1,1) * Phi)]).reshape((K, -1))[keep,:] # (K, 2N), complex
index+=1
M_kp = M0 if M_kp is None else np.vstack([M_kp, M0])
assert M_kp is not None
if weights is None:
weights_kp = np.diag(np.ones(len(freqs[keep]) * self.ports**2, np.complex128))
else:
weights_kp0 = weights[keep]
weights0 = []
for i in range(self.ports **2 ):
for res in weights_kp0:
weights0.append(1/res)
weights_kp = np.diag(np.array(weights0))
if has_dc:
M_w_kp = weights_kp @ M_kp
A_re = np.real(M_w_kp)
A_im = np.imag(M_w_kp)
mask = np.ones(K, dtype=bool); mask[k0] = False
# exact (unweighted) DC rows:
A_dc_re = np.real(M[k0, :]).reshape(1, -1)
A_dc_im = np.imag(M[k0, :]).reshape(1, -1)
# A_dc_re = np.real(M_kp).reshape(1, -1)
# A_dc_im = np.imag(M_kp).reshape(1, -1)
else:
M_w = weights @ M
A_re = np.real(M_w)
A_im = np.imag(M_w)
A_dc_re = A_dc_im = None
M_w_kp = weights_kp @ M_kp
A_re = np.real(M_w_kp)
A_im = np.imag(M_w_kp)
# A_dc_re = A_dc_im = None
A_blocks = [A_re, A_im]
if self.fit_constant:
beta = float(np.sqrt(np.sum(np.abs(H)**2)))
mean_row = (beta / K) * np.sum(Phi_w, axis=0)
A_w0 = np.concatenate([np.zeros(N, float),
Hk_kp = None
for i in range(self.ports):
for j in range(self.ports):
Hk_kp0 = H[:,i,j][keep]
Hk_kp = Hk_kp0 if Hk_kp is None else np.hstack([Hk_kp, Hk_kp0])
assert Hk_kp is not None
Hk_sum = np.sum(np.abs(Hk_kp)**2)
beta = float(np.sqrt(Hk_sum))
mean_row = (beta / weights_kp.shape[0]) * np.sum(Phi_w, axis=0)
A_w0 = np.concatenate([np.zeros(N*self.ports**2, float),
np.real(mean_row).astype(float)]
).reshape(1, -1)
b_w0 = np.array([beta], float)
@@ -180,7 +215,14 @@ class MultiplePortQR:
b = np.zeros(m, float)
b = np.concatenate([b, b_w0])
else:
H_kp = (weights @ H)[keep,:]
H_kp = None
for i in range(self.ports):
for j in range(self.ports):
H_kp0 = weights_kp @ (H[:,i,j]).reshape(1,-1)[keep,:]
H_kp = H_kp0 if H_kp is None else np.hstack([H_kp, H_kp0])
assert H_kp is not None
H_kp = H_kp.reshape(-1,1)
b_re = np.real(d0 * H_kp)
b_im = np.imag(d0 * H_kp)
b = np.concatenate([b_re.ravel(), b_im.ravel()]).astype(float)
@@ -197,11 +239,11 @@ class MultiplePortQR:
Q, R = np.linalg.qr(A, mode="reduced")
if self.fit_constant:
Q2 = Q[:,A.shape[1]//2:]
R22 = R[A.shape[1]//2:,A.shape[1]//2:]
Q2 = Q[:,Phi.shape[1] * self.ports**2:]
R22 = R[Phi.shape[1] * self.ports**2:,Phi.shape[1] * self.ports**2:]
else:
Q2 = Q[:,A.shape[1]//2:]
R22 = R[A.shape[1]//2:,A.shape[1]//2:]
Q2 = Q[:,Phi.shape[1] * self.ports**2:]
R22 = R[Phi.shape[1] * self.ports**2:,Phi.shape[1] * self.ports**2:]
x = np.linalg.solve(R22, Q2.T @ b)
@@ -236,19 +278,27 @@ class MultiplePortQR:
def non_bias_Cr(self,w0):
A = np.asarray(self.Phi)
den = np.diag((w0 + self.Phi @ self.Cw.T).ravel())
b = np.asarray(den) @ self.H.reshape(-1,1)
Cr, residuals, rank, s = np.linalg.lstsq(A, b, rcond=None)
Cr = []
for i in range(self.ports):
Cr.append([])
for j in range(self.ports):
b = np.asarray(den) @ self.H[:,i,j].reshape(-1,1)
Cr_ij, residuals, rank, s = np.linalg.lstsq(A, b, rcond=None)
Cr[i].append(Cr_ij)
return Cr
def evaluate(self,freqs, w0):
H = np.zeros((len(freqs),self.ports,self.ports),dtype=complex)
s = 1j * 2*np.pi * np.asarray(freqs, float).ravel()
phi = self.generate_basis(s, self.poles)
den = w0 + phi @ self.Cw.T
if self.Cr is None:
self.Cr = self.non_bias_Cr(w0=w0)
num = phi @ self.Cr
H = num / den
return H.ravel()
for i in range(self.ports):
for j in range(self.ports):
num = phi @ self.Cr[i][j]
H[:,i,j] = (num / den).reshape(1,-1)
return H
def noise(n:complex,coeff:float=0.05):
noise_r = rnd.gauss(-coeff * n.real, coeff * n.real)
@@ -257,19 +307,23 @@ def noise(n:complex,coeff:float=0.05):
if __name__ == "__main__":
start_point = 0
network = rf.Network("/tmp/paramer/simulation/3000/3000.s2p")
network = rf.Network("/tmp/paramer/simulation/3500/3500.s2p")
ports = network.nports
K = 10
full_freqences = network.f[start_point:]
noised_sampled_points = [(network.y[i][0][0]) for i in range(start_point,len(network.y))]
sampled_points = [network.y[i][0][0] for i in range(start_point,len(network.y))]
noised_sampled_points = network.y[start_point:,:,:]
sampled_points = network.y[start_point:,:,:]
H11,freqs = auto_select(noised_sampled_points,full_freqences,max_points=20)
# noised_sampled_points = - network.y[start_point:,0,1].reshape(-1,1,1)
# sampled_points = network.y[start_point:,1,1].reshape(-1,1,1)
H,freqs = auto_select_multple_ports(noised_sampled_points,full_freqences,max_points=20)
poles = generate_starting_poles(2,beta_min=1e4,beta_max=freqs[-1]*1.1)
Dt_1 = np.ones((len(freqs),1),np.complex128)
# Levi step (no weighting):
basis = MultiplePortQR(H11,freqs,poles=poles)
basis = MultiplePortQR(H,freqs,poles=poles)
Dt = basis.Dt
poles = basis.next_poles
@@ -287,7 +341,7 @@ if __name__ == "__main__":
eigenval_condition = []
eigenval_rms_error = []
for i in range(K):
basis = MultiplePortQR(H11,freqs,poles=poles,weights=Dt)
basis = MultiplePortQR(H,freqs,poles=poles,weights=Dt)
Dt_1 = Dt
Dt = basis.Dt
poles = basis.next_poles
@@ -305,55 +359,72 @@ if __name__ == "__main__":
eigenval_rms_error.append(basis.eigenval_rms_error)
# H11_evaluated = basis.evaluate_pole_residue(network.f[1:],poles,basis.C[0])
H11_evaluated = basis.evaluate(network.f[start_point:], w0=basis.w0)
import matplotlib.pyplot as plt
fig, axes = plt.subplots(3, 2, figsize=(15, 16), sharex=False)
ax00 = axes[0][0]
fitted_points = H11_evaluated
H_evaluated = basis.evaluate(full_freqences, w0=basis.w0)
fitted_points = H_evaluated
sliced_freqences = freqs
input_points = H11
ax00.plot(full_freqences, np.abs(sampled_points), 'o', ms=4, color='red', label='Samples')
ax00.plot(full_freqences, np.abs(fitted_points), '-', lw=2, color='k', label='Fit')
ax00.plot(sliced_freqences, np.abs(input_points), 'x', ms=4, color='blue', label='Input Samples')
ax00.set_title("Response i=0, j=0")
ax00.set_ylabel("Magnitude")
ax00.legend(loc="best")
input_points = H
for i in range(ports):
for j in range(ports):
fig, axes = plt.subplots(3, 2, figsize=(15, 16), sharex=False)
ax00 = axes[0][0]
ax00.plot(full_freqences, np.abs(sampled_points[:,i,j]), 'o', ms=4, color='red', label='Samples')
ax00.plot(full_freqences, np.abs(fitted_points[:,i,j]), '-', lw=2, color='k', label='Fit')
ax00.plot(sliced_freqences, np.abs(input_points[:,i,j]), 'x', ms=4, color='blue', label='Input Samples')
ax00.set_title(f"Response i={i+1}, j={j+1}")
ax00.set_ylabel("Magnitude")
ax00.legend(loc="best")
ax01 = axes[0][1]
ax01.set_title("Response i=0, j=0")
ax01.set_ylabel("Phase (deg)")
ax01.plot(network.f[start_point:], np.angle([network.y[i][0][0] for i in range(start_point,len(network.y))],deg=True), 'o', ms=4, color='red', label='Samples')
ax01.plot(network.f[start_point:], np.angle(H11_evaluated,deg=True), '-', lw=2, color='k', label='Fit')
ax01.plot(freqs, np.angle(H11,deg=True), 'x', ms=4, color='blue', label='Input Samples')
ax01.legend(loc="best")
ax01 = axes[0][1]
ax01.set_title(f"Response i={i+1}, j={j+1}")
ax01.set_ylabel("Phase (deg)")
ax01.plot(full_freqences, np.angle(sampled_points[:,i,j],deg=True), 'o', ms=4, color='red', label='Samples')
ax01.plot(full_freqences, np.angle(fitted_points[:,i,j],deg=True), '-', lw=2, color='k', label='Fit')
ax01.plot(sliced_freqences, np.angle(input_points[:,i,j],deg=True), 'x', ms=4, color='blue', label='Input Samples')
ax01.legend(loc="best")
ax10 = axes[1][0]
ax10.plot(least_squares_condition, label='Least Squares Condition')
ax10.set_title("least_squares_condition")
ax10.set_ylabel("Magnitude")
ax10.legend(loc="best")
# ax00 = axes[0][0]
# ax00.plot(full_freqences, np.real(sampled_points[:,i,j]), 'o', ms=4, color='red', label='Samples')
# ax00.plot(full_freqences, np.real(fitted_points[:,i,j]), '-', lw=2, color='k', label='Fit')
# ax00.plot(sliced_freqences, np.real(input_points[:,i,j]), 'x', ms=4, color='blue', label='Input Samples')
# ax00.set_title(f"Response i={i+1}, j={j+1}")
# ax00.set_ylabel("Real Part")
# ax00.legend(loc="best")
ax11 = axes[1][1]
ax11.plot(least_squares_rms_error, label='Least Squares RMS Error')
ax11.set_title("least_squares_rms_error")
ax11.set_ylabel("Magnitude")
ax11.legend(loc="best")
# ax01 = axes[0][1]
# ax01.set_title(f"Response i={i+1}, j={j+1}")
# ax01.set_ylabel("Imag Part")
# ax01.plot(full_freqences, np.imag(sampled_points[:,i,j]), 'o', ms=4, color='red', label='Samples')
# ax01.plot(full_freqences, np.imag(fitted_points[:,i,j]), '-', lw=2, color='k', label='Fit')
# ax01.plot(sliced_freqences, np.imag(input_points[:,i,j]), 'x', ms=4, color='blue', label='Input Samples')
# ax01.legend(loc="best")
ax20 = axes[2][0]
ax20.plot(eigenval_condition, label='Eigenvalue Condition')
ax20.set_title("eigenval_condition")
ax20.set_ylabel("Magnitude")
ax20.legend(loc="best")
ax10 = axes[1][0]
ax10.plot(least_squares_condition, label='Least Squares Condition')
ax10.set_title("least_squares_condition")
ax10.set_ylabel("Magnitude")
ax10.legend(loc="best")
ax21 = axes[2][1]
ax21.plot(eigenval_rms_error, label='Eigenvalue RMS Error')
ax21.set_title("eigenval_rms_error")
ax21.set_ylabel("Magnitude")
ax21.legend(loc="best")
fig.tight_layout()
plt.savefig(f"relaxed_basic_basis_QR.png")
ax11 = axes[1][1]
ax11.plot(least_squares_rms_error, label='Least Squares RMS Error')
ax11.set_title("least_squares_rms_error")
ax11.set_ylabel("Magnitude")
ax11.legend(loc="best")
ax20 = axes[2][0]
ax20.plot(eigenval_condition, label='Eigenvalue Condition')
ax20.set_title("eigenval_condition")
ax20.set_ylabel("Magnitude")
ax20.legend(loc="best")
ax21 = axes[2][1]
ax21.plot(eigenval_rms_error, label='Eigenvalue RMS Error')
ax21.set_title("eigenval_rms_error")
ax21.set_ylabel("Magnitude")
ax21.legend(loc="best")
fig.tight_layout()
plt.savefig(f"MultiplePortQR_port_{i+1}{j+1}.png")
print(f"Saved MultiplePortQR_port_{i+1}{j+1}.png")