scholarly journals Multivariate Linear Predictive Spectral Analysis (MESA) with Positive Definite Spectral Estimate and Stable Correlation Recursion

1978 ◽  
Vol 64 (S1) ◽  
pp. S11-S12
Author(s):  
A. H. Nuttall
Keyword(s):  
Spectral Analysis ◽  
Positive Definite ◽  
Spectral Estimate

INTEGRAL REPRESENTATIONS FOR LOCALLY DEFINED POSITIVE DEFINITE FUNCTIONS ON LIE GROUPS

1991 ◽  
Vol 02 (03) ◽  
pp. 257-286 ◽  
Author(s):  
PALLE E. T. JORGENSEN
Keyword(s):  
Hilbert Space ◽  
Spectral Analysis ◽  
Heisenberg Group ◽  
Lie Groups ◽  
Positive Definite ◽  
Integral Representations ◽  
Positive Definite Functions ◽  
Additional Symmetry ◽  
Noncommuting Operators ◽  
Unitary Dilation

It is well known that locally defined positive definite functions on Lie groups G generally do not extend to positive definite functions which are defined on the whole group. We introduce two stronger positivity concepts for locally defined functions, and show that they are equivalent to extendability. We then apply this to the case when G is the Heisenberg group. When an additional symmetry is imposed, we obtain a complete spectral analysis of the (locally defined) positive definite functions. The methods of proof are based on unitary dilation techniques (i.e., carefully chosen extensions of some underlying Hilbert space associated to the problem), and on spectral theory for noncommuting operators.

Spectral analysis of asymmetry training effect for depression

2008 ◽  
Author(s):  
Ji Ha Lee ◽  
Sung Won Choi ◽  
Ji Sun Min ◽  
Eun Ju Jaekal ◽  
Gyhye Sung
Keyword(s):  
Spectral Analysis ◽  
Training Effect

Some problems in the spectral analysis of human behavior records

1953 ◽  
Author(s):  
C. J. Burke ◽  
R. Narasimhan ◽  
O. J. Benepe
Keyword(s):  
Spectral Analysis ◽  
Human Behavior

Parametric imaging of [11C]PIB studies using spectral analysis

2005 ◽  
Vol 25 (1_suppl) ◽  
pp. S590-S590 ◽  
Author(s):  
Rainer Hinz ◽  
Gunnar Blomquist ◽  
Paul Edison ◽  
David J Brooks
Keyword(s):  
Spectral Analysis ◽  
Parametric Imaging

Spectral analysis with a minimal basis functions approach for quantification of ligand-receptor dynamic PET study

2005 ◽  
Vol 25 (1_suppl) ◽  
pp. S634-S634 ◽  
Author(s):  
Yun Zhou ◽  
Weiguo Ye ◽  
James R Brasic ◽  
Mohab Alexander ◽  
John Hilton ◽  
...  
Keyword(s):  
Spectral Analysis ◽  
Basis Functions ◽  
Dynamic Pet ◽  
Minimal Basis
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