Design of Linear Phase IIR Filters with Application to Processing of Seismic Data

2007 ◽  
Author(s):  
H. A. Mansour
Keyword(s):  
Seismic Data ◽  
Linear Phase ◽  
Iir Filters

A new improvement to the Powell and Chau linear phase IIR filters

1998 ◽  
Vol 46 (6) ◽  
pp. 1685-1688 ◽  
Author(s):  
B. Djokic ◽  
M. Popovic ◽  
M. Lutovac
Keyword(s):  
Linear Phase ◽  
Iir Filters

Design of Chebyshev-type IIR filters with approximately linear phase characteristics

2003 ◽  
Vol 87 (2) ◽  
pp. 1-9 ◽  
Author(s):  
Ryousuke Takeuchi ◽  
Xi Zhang ◽  
Toshinori Yoshikawa ◽  
Yoshinori Takei
Keyword(s):  
Linear Phase ◽  
Iir Filters

LINEAR PHASE FILTERING OF MULTICOMPONENT SEISMIC DATA

Geophysics ◽  
1968 ◽  
Vol 33 (6) ◽  
pp. 926-935 ◽  
Author(s):  
E. J. Mercado
Keyword(s):  
Free Surface ◽  
Seismic Data ◽  
Rayleigh Waves ◽  
Wave Motion ◽  
Linear Phase ◽  
Linear Filtering ◽  
Linear Filters ◽  
Filtering Technique ◽  
Polarization Filtering ◽  
Phase Relationships

The phase relationships between the vertical and horizontal components of motion at a free surface differ between the various modes of propagation. These differences in phase between the components of motion may be made the basis for a linear filtering technique to separate P, S, and Rayleigh waves when the components of motion at the free surface are recorded in reproducible form. In this paper, a set of linear filters is derived and applied to some three‐component reflection seismograph field data that separate P and Rayleigh wave motion on the basis of their phase relations between horizontal and vertical components of motion at the free surface. A comparison is made between the linear phase filtering technique, and the “Polarization Filtering” technique of Shimshoni and Smith, and a multichannel Wiener deconvolution using the vertical and horizontal components of motion as input channels.

scholarly journals Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Yasunori Sugita
Keyword(s):  
Transfer Function ◽  
Digital Filters ◽  
Design Method ◽  
Infinite Impulse Response ◽  
Linear Matrix ◽  
Linear Phase ◽  
Iir Filters ◽  
Matrix Equality ◽  
Iir Digital Filters ◽  
The Stability

This paper presents a design method of Chebyshev-type and inverse-Chebyshev-type infinite impulse response (IIR) filters with an approximately linear phase response. In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an equiripple characteristic in the passband is achieved by iteratively solving the QP problem using the transfer function. In the design of inverse-Chebyshev-type filters, the flatness condition in the passband is added to the constraint of the QP problem as the linear matrix equality, and an equiripple characteristic in the stopband is realized by iteratively solving the QP problem. To guarantee the stability of the obtained filters, we apply the extended positive realness to the QP problem. As a result, the proposed method can design the filters with more high precision than the conventional methods. The effectiveness of the proposed design method is illustrated with some examples.

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