maoud 0.1.dev0

python中广义衰落信道的仿真

假设有一个复杂的密度函数，在Scipy中没有实现，例如yacoub的kappa mu。 别担心，maoud帮你搞定了：

import numpy as np
import scipy.special as sps

def kappa_mu_pdf(x, kappa, mu):
    return (2.0 * mu * np.power(1.0 + kappa, (mu + 1.0) / 2.0) * np.power(x, mu)
            * np.exp(-mu * (1.0 + kappa) * x * x - mu * kappa + 2 * x * mu
            * np.sqrt(kappa * (1.0 + kappa))) * sps.ive(mu - 1, 2 * mu * x
            * np.sqrt(kappa * (1.0 + kappa))) / (np.power(kappa, (mu - 1.0) / 2.0)))

然后您要执行以下操作以绘制样本：

from maoud.sampling import rejection_sampling

n_samples = int(1e6)
kappa = 0.75
mu = 0.87
low = 1e-6
high = 3

kappa_mu_samples, af = rejection_sampling(kappa_mu_pdf, low, high,
                                          n_samples, kappa, mu)

为了验证样本是否符合yacoub的kappa mu密度，我们绘制样本的直方图：

import matplotlib.pyplot as plt

x = np.linspace(1e-6, 3, 1000)
y = kappa_mu_pdf(x, kappa, mu)

plt.plot(x, y)
plt.hist(kappa_mu_samples, bins=50, normed=True)

沙扎姆！！

引文

如果您使用了此存储库中可用的代码，请考虑 引用以下工作：

@ARTICLE{7986939,
author={J. V. M. Cardoso and W. J. L. Queiroz and H. Liu and M. S. Alencar},
journal={Tsinghua Science and Technology},
title={On the performance of the energy detector subject to impulsive noise in κ—μ, α—μ, and η—μ fading channels},
year={2017},
volume={22},
number={4},
pages={360-367},
doi={10.23919/TST.2017.7986939},
month={Aug},}