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Iterative design of one-dimensional efficient seismic Lp infinite impulse response fx digital filters

Iterative design of one-dimensional efficient seismic Lp infinite impulse response fx digital filters

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This study proposes a new technique, the Lp iterative reweighted least-square (IRLS) algorithm, to design efficient and accurate non-causal complex-valued seismic infinite impulse response (IIR) frequency–space (fx) digital filters. Unlike earlier works where the problem is prefiltered and linearised, through this technique, the weights are updated by the trust-region-reflection (TRR) optimisation method, and the non-linear-weighted least-square IIR filter design problem is solved directly. The results of this study show smooth convergence empirically of the proposed IRLS–TRR algorithm for designing efficient complex-valued IIR fx filter coefficients. Using the same specification parameters, the design for an IIR fx filter of the order of N=2, a requirement needed for seismic wavefield extrapolation filters, outperforms the same filter designed using the IRLS prefiltering linearised algorithm at the expense of a few additional iterations and a justified running design time.

References

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      • Vargas, R.A., Burrus, C.S.: `Iterative design of lp FIR and IIR digital filters', 13thIEEE Digital Signal Processing Workshop and fifth IEEE Signal Processing Education Workshop, January 2009, p. 468–473.
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      • Mousa, W.A.: `Accurate & efficient wavefield extrapolators using IIR ', Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE Int. Conf., March 2010, p. 1210–1213.
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