Digital simulation of two-dimensional random fields with arbitrary power spectra and non-Gaussian probability...

Area of Science:

• Signal processing
• Computational physics
• Optics

Background:

• Simulating complex signals is crucial for research and development.
• Existing methods may lack flexibility in controlling signal properties.
• Arbitrary power spectral densities and probability density functions are challenging to generate.

Purpose of the Study:

• To develop a robust method for simulating two-dimensional signals.
• To enable control over both spectral and amplitude distributions of signals.
• To provide a practical engineering approach for signal generation.

Main Methods:

• Transforming white noise with Gaussian distribution.
• Applying spectral shaping to achieve desired power spectral densities.
• Utilizing inverse transform for desired amplitude probability density functions.

Main Results:

• Successfully generated two-dimensional signals with arbitrary power spectral densities.
• Achieved desired signal amplitude probability density functions.
• Demonstrated the method's effectiveness with examples relevant to optics.

Conclusions:

• The proposed method offers a viable engineering solution for signal simulation.
• The technique provides flexibility in generating signals with specific characteristics.
• The approach is applicable to various fields, including optics.