ISSN:
1573-2878
Keywords:
Minimum norm estimation
;
power spectrum
;
bounded constraints
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Given the constraint 0≤f≤B, whereB is in the interior of the positive cone ofL ∞, and given a finite number of correlations off, we wish to estimatef. Since only a finite number of correlations are given, this does not uniquely determinef. We estimatef by picking the unique function Φ0 satisfying the constraints and minimizing theL p -norm with 1〈p〈∞. Under suitable conditions, the form of the solution is shown to be $$\Phi _0 (f) = \min \{ B(x), \max \{ 0,P(x)\} ^{1/(p - 1)} \} ,$$ whereP is a linear combination of the correlation functions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939611
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