... tractable narrow-band filter designs, using a 1D complex wavelet frame. This decomposition enables a single-pass adaptive subtraction via complex, single-sample (unary) Wiener filters, consistently estimated on overlapping windows in a complex wavelet transformed domain. Each unary filter compensates...

... local earthquakes will benefit from reduced noise levels and the ability to detect smaller events will be increased. We propose a frequency-dependent multichannel Wiener filtering technique with linear constraints that uses an adaptive least-squares method to remove coherent noise in seismic array data...

... plane-wave propagation. Both methods perform poorly when the waveform changes significantly between stations of the array, as might be caused, for example, by differences in site response. In this article, we present a multichannel Wiener filtering technique, which allows the removal of coherent...

...V. S. Seleznev; A. F. Emanov Some questions of automated processing of head waves in observation systems with multiple coverage of waves are considered. Potentialities for perfecting the algorithms for conversion of head-wave fields to dynamic time sections have been investigated. The Wiener filter...

...Milton J. Porsani Abstract Two recursive algorithms for designing discrete Wiener filters for wavelets of different phase characteristics are the Simpson and the Manolakis recursions. Both procedures are efficient; however, both recursions work with a prefixed length filter. Two fast algorithms...

...Samuel H. Bickel; D. R. Martinez Abstract When Wiener filters are applied to seismic data, the bandwidth of noise increases along with the bandwidth of the signal. Thus the signal-to-noise ratio is degraded. To reduce signal ambiguity it is common practice to prewhiten the Wiener filter...

...P. J. Gunn Abstract It is possible to design multichannel Wiener filters to simultaneously process gravity and magnetic data in profile form so as to produce diagnostic rectangular wave outputs only if anomalies due to bodies with a specified density-magnetization ratio are input. This method has...

...R. J. Wang; S. Treitel Abstract The normal equations for the discrete Wiener filter are conventionally solved with Levinson's algorithm. The resultant solutions are exact except for numerical roundoff. In many instances, approximate rather than exact solutions satisfy seismologists' requirements...

... and the frequency content of individual signal and noise wavelets (events) on these traces. Therefore, a so-called “wavelet” Wiener filter is introduced which suppresses “noise” wavelets and enhances “signal” wavelets; this filter can be contrasted with an ordinary Wiener filter which discriminates between signal...

...Sven Treitel Abstract The ordinary time or space domain Wiener filter is conventionally obtained for real-valued inputs and real-valued desired outputs. Situations exist for which these variables are complex-valued.It is possible to develop a solution for the resulting complex Wiener filter...

... normal equations were also derived: ∑ m = 0 N f N ( m Δ t ) R x , x [ ( n − m ) Δ t ] = R x , y ( d ) ( n Δ t ) for n = 0, 1, …, N . In (1a), R x,x (t) is the autocorrelation function of a complex input signal x ( t ), f N ( t ) is the complex least-squares filter of duration ( N + 1)Δ t, y (d) ( t...

...R. S. Pawlowski; R. O. Hansen Abstract We introduce a gravity anomaly separation method based on frequency-domain Wiener filtering. Gravity anomaly separation can be effected by such wavelength filtering when the gravity response from the geologic feature of interest (the signal) dominates one...

...A. T. Walden Abstract Deconvolution in the presence of additive noise is a well known problem for which there exists a Wiener filter which spectrally whitens while also suppressing the noise. A simple variant of this standard Wiener filter incorporates a parameter p which is intended to allow...

... to the calculation of time-varying Wiener filters. The Berndt and Cooper technique produces an upper bound for the mean-square error between the true and a given approximated time-varying correlation function. The minimization of this upper bound leads to a relation which enables one to establish gate lengths...

...Steven R. Taylor; M. Nafi Toksöz abstract A method for calculating interstation phase and group velocities and attenuation coefficients using a Wiener (least-squares) filtering technique is presented. The interstation Green's (or transfer) function is estimated from surface wave data from two...

... of these factors has lead to searching for alternative methods that are based on estimation of the noise and its attenuation from data by arithmetical subtraction. Wiener filters have a wide usage in different seismic applications and have been the subject of many papers including filter estimation and mostly...

... is addressed by splitting the operator into two parts, one to control phase accuracy and a second to improve stability. The first partial operator is simply a windowed version of the exact operator for a half step. The second partial operator is designed, using the Wiener filter method, as a band-limited...

... is the primary cause of the inaccuracy in estimation results. We have improved the MAX-MIN method using Wiener filtering based on the principle of least-mean-squares deviation. The k -means clustering algorithm clusters points that are as closely connected as possible, while ensuring that the distances between...