A stable and efficient approach of inverse Q filtering in the time domain
稳定高效的时域反Q滤波方法

A method of inverse Q filtering in the time domain based on the effective quality factor is presented for the first time. The effective quality factor can vary continuously along two-way traveltime and vary weakly in spatial direction. The optimum strategy of the weighted least squares method is introduced into designing inverse Q compensation short operator in time domain for calculating the optimum factors of short operator, which can translate large amount of multiplication operation in the frequency dowaininto less convolution operation in the time domain. The scheme of table-driven is adopted to split short operator construction from operation of inverse Q compensation for raising the efficiency of calculation. A new method of stabilization controlling is proposed which can ensure the stablitity of arithmetic as well as can satisfy the demand of designing precision of short operators. Numerical examples indicate that the inverse Q filtering in the time domain can achieve the same compensation result as the arithmetic in the frequency domain and ensure the stabitity and efficiency of the arithmetic.