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October 10, 2025 11:18
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| import numpy as np | |
| from scipy.linalg import null_space | |
| A_2 = 0.1 | |
| t = 0.3 | |
| fd1 = 100 | |
| fd2 = 120 | |
| two_pi_fd1_t = 2 * np.pi * fd1 * t | |
| two_pi_fd2_t = 2 * np.pi * fd2 * t | |
| theta_1 = np.random.rand() * 2 * np.pi | |
| theta_2 = np.random.rand() * 2 * np.pi | |
| fc1 = 2.4e6 | |
| fc2 = 2.3e6 | |
| delta_f = fc2 - fc1 | |
| T1 = (np.sin(two_pi_fd1_t) + A_2 * np.sin(2 * np.pi * (delta_f + fd2) * t + theta_2)) / \ | |
| (np.cos(two_pi_fd1_t) + A_2 * np.cos(2 * np.pi * (delta_f + fd2) * t + theta_2)) | |
| T2 = (np.sin(2 * np.pi * (fd1 - delta_f) * t + theta_1) + A_2 * np.sin(2 * np.pi * (fd2) * t + theta_2)) / \ | |
| (np.cos(2 * np.pi * (fd1 - delta_f) * t + theta_1) + A_2 * np.cos(2 * np.pi * (fd2) * t + theta_2)) | |
| s = np.sin(2 * np.pi * delta_f * t) | |
| c = np.cos(2 * np.pi * delta_f * t) | |
| s1 = np.sin(2 * np.pi * fc1 * t) | |
| c1 = np.cos(2 * np.pi * fc1 * t) | |
| s2 = np.sin(2 * np.pi * fc2 * t) | |
| c2 = np.cos(2 * np.pi * fc2 * t) | |
| M = np.array([ | |
| [1, -T1, T1 * s + c, -c * T1 + s], | |
| [c - s * T2, -T2 * c - s, 1, -T2], | |
| [-s1, c1, -s2, c2], | |
| ]) |
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