iq_readout.pdfs.simple_2d_gaussian_triple_mixture

simple_2d_gaussian_triple_mixture(z, mu_0_x, mu_0_y, mu_1_x, mu_1_y, mu_2_x, mu_2_y, sigma, angle1, angle2)

Probability density function corresponding to the sum of three 2D Gaussians.

The three Gaussians have means (mu_0_x, mu_0_y), (mu_1_x, mu_1_y), and (mu_2_x, mu_2_y), and same covariance matrix diag(sigma**2, sigma**2).

The weight of the fist Gaussian is sin(angle2)**2 * cos(angle1)**2 and of the second Gaussian is sin(angle2)**2 * sin(angle1)**2 and of the thrid Gaussian is cos(angle2)**2 to ensure that the probability density function is normalized.

Parameters:

znp.ndarray(…, 2)

Points in the 2D space

mu_0_x

Mean of the first coordinate for the first Gaussian.

mu_0_y

Mean of the second coordinate for the firs Gaussian.

mu_1_x

Mean of the first coordinate for the second Gaussian.

mu_1_y

Mean of the second coordinate for the second Gaussian.

mu_2_x

Mean of the first coordinate for the thrid Gaussian.

mu_2_y

Mean of the second coordinate for the thid Gaussian.

sigma

Standard deviation of the two coordinates for the Gaussians.

angle1

Weight factor for the Gaussian mixture.

angle2

Weight factor for the Gaussian mixture.