Modern Singular Spectral-Based Denoising and Filtering Techniques for 2D and 3D Reflection Seismic Data by R. K. Tiwari & R. Rekapalli

Author:R. K. Tiwari & R. Rekapalli
Language: eng
Format: epub
ISBN: 9783030193041
Publisher: Springer International Publishing

Figure 6.5 shows the reconstructed signal recovered from first five Eigen modes using both the methods (SSA and FHSSA) along with original signal. The signal reconstructed using FHSSA is almost matching with original signal where as the output of SSA deviated. Apart from the signal reconstruction accuracy, the classical methods require (9 × 16 × 16): 2304 FLOPS whereas the FHSSA requires only ((5 × 8 × 8) + (4 × 9 × 9)), 644 FLOPS. Here the method employed only two-step factorization. Number of square or rectangular factors into which the trajectory matrix can be factorized to cut the computational time and cost is solely dependent on the length of the data series. This factorization will not deter any valuable information contained in the data.

Fig. 6.5Original chaotic signal (solid line) and its reconstructed signal from first five principal components using classical SSA (dotted line with circle marker) and FHSSA (dotted line with diamond marker). (Modified after Tiwari and Rajesh (2014))

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