Fixing basis mismatch in compressively sampled photonic link

J. M. Nichols; F. Bucholtz; C. V. McLaughlin; A. K. Oh; R. M. Willett

doi:10.1117/12.2053739

22 May 2014 Fixing basis mismatch in compressively sampled photonic link

J. M. Nichols, F. Bucholtz, C. V. McLaughlin, A. K. Oh, R. M. Willett

Proceedings Volume 9118, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XII; 91180N (2014) https://doi.org/10.1117/12.2053739
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

The theory behind compressive sampling pre-supposes that a given sequence of observations may be exactly represented by a linear combination of a small number of vectors. In practice, however, even small deviations from an exact signal model can result in dramatic increases in estimation error; this is the so-called basis mismatch" problem. This work provides one possible solution to this problem in the form of an iterative, biconvex search algorithm. The approach uses standard ℓ₁-minimization to find the signal model coefficients followed by a maximum likelihood estimate of the signal model. The process is repeated until a convergence criteria is met. The algorithm is illustrated on harmonic signals of varying sparsity and outperforms the current state-of-the-art.

Citation Download Citation

J. M. Nichols, F. Bucholtz, C. V. McLaughlin, A. K. Oh, and R. M. Willett "Fixing basis mismatch in compressively sampled photonic link", Proc. SPIE 9118, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XII, 91180N (22 May 2014); https://doi.org/10.1117/12.2053739

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