Globally optimal joint design of two sets of mask coefficients in two different predefined rotated axes of time frequency plane for signal restoration applications

• Published in: Digital signal processing 2015-05, Vol.40, p.31-39
• Main Authors: Zhang, Xiao-Zhi, Ling, Bingo Wing-Kuen, Subramaniam, Suba R., Georgakis, Apostolos
• Format: Article
• Language: English
• Subjects: Fractional Fourier transform; Modified filled function method; Nonconvex global optimization; Rotated axis of time frequency plane; Two sets of mask coefficients
• ISSN: 1051-2004; 1095-4333
• DOI: 10.1016/j.dsp.2015.02.017

The benefits of applying two mask operations in two different rotated axes of the time frequency (TF) plane are well known especially for signal restoration applications. Compared to just applying a single mask operation in a single rotated axis of the TF plane, it has been shown that applying two mask operations in two different rotated axes of the TF plane carefully can improve the restoration performances. However, there is no systematic approach for the globally optimal joint design of these two sets of mask coefficients in two different predefined rotated axes of the TF plane. In this paper, this optimal joint design problem is formulated as a nonconvex optimization problem. Then, a modified filled function method is employed for finding the globally optimal solution of the optimization problem. Computer numerical simulation results show that the obtained restoration system outperforms existing ones.