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Electronic data file and content capturing systems and methods enable enhanced accessibility and reduced complexity for clients managing large volumes of digital data files. A transmit coil produces an excitation signal, having a first orientation, to excite the in vivo sensor to produce a response signal. Because peak wavelength that can be intensified can be varied among regions in one pixel having different cavity lengths, a viewing angle dependency is improved. An advantage of the invention is that pulp having a Kappa number of greater than about 25 for softwood and greater than about 15 for hardwood may be fed to the bleaching process while still providing a bleached pulp having sufficient brightness, viscosity characteristics and good pulp yield. The methods of solving for the matrix T includes a) computing Cholesky factors of the matrix T by approximating using the block-banded property of the matrix T and A; b) Schur decomposition for Cholesky factors of the matrix T and approximating the lower triangular Cholesky factor matrix R using block Toeplitz property of matrix T; or c) Fourier Transformation.