scholarly journals On the minimum phase property of prediction-error polynomials

1997 ◽  
Vol 4 (5) ◽  
pp. 126-127 ◽  
Author(s):  
P.P. Vaidyanathan ◽  
J. Tuqan ◽  
A. Kirac
Keyword(s):  
Prediction Error ◽  
Minimum Phase ◽  
Phase Property

scholarly journals Minimum Phase Property of Chebyshev-Sharpened Cosine Filters

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Miriam Guadalupe Cruz Jiménez ◽  
David Ernesto Troncoso Romero ◽  
Gordana Jovanovic Dolecek
Keyword(s):  
Computational Complexity ◽  
Group Delay ◽  
Minimum Phase ◽  
Similar Magnitude ◽  
Low Delay ◽  
Phase Property ◽  
Decimation Filter ◽  
The Cost ◽  
Lower Group

We prove that the Chebyshev sharpening technique, recently introduced in literature, provides filters with a Minimum Phase (MP) characteristic when it is applied to cosine filters. Additionally, we demonstrate that cascaded expanded Chebyshev-Sharpened Cosine Filters (CSCFs) are also MP filters, and we show that they achieve a lower group delay for similar magnitude characteristics in comparison with traditional cascaded expanded cosine filters. The importance of the characteristics of cascaded expanded CSCFs is also elaborated. The developed examples show improvements in the group delay ranged from 23% to 47% at the cost of a slight increase of usage of hardware resources. For an application of a low-delay decimation filter, the proposed scheme exhibits a 24% lower group delay, with 35% less computational complexity (estimated in Additions per Output Sample) and slightly less usage of hardware elements.

On: “Proposed Attenuation‐Dispersion Pair for Seismic Waves” by J. E. White and D. J. Walsh (GEOPHYSICS, June 1972, p. 456–461)

Geophysics ◽  
1973 ◽  
Vol 38 (2) ◽  
pp. 423-425 ◽  
Author(s):  
Ellis Strick
Keyword(s):  
Power Law ◽  
Seismic Waves ◽  
Low Frequency ◽  
Dispersion Relations ◽  
Minimum Phase ◽  
Power Law Model ◽  
Phase Property ◽  
Propagation Function ◽  
Complex Propagation ◽  
Frequency Behavior

In their paper, White and Walsh claim dispersion relations based upon an assumed minimum‐phase property of rock lead to such drastic low‐frequency behavior that any complex propagation function based upon dispersion relations is unacceptable. Since my power‐law model (Strick, 1967, 1970a) was placed in such a category, my response is as follows.

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