When advanced sparse signal models meet coarsely quantized radar data

2020 ◽  
pp. 147-184
Keyword(s):  
Radar Data ◽  
Sparse Signal ◽  
Signal Models

scholarly journals The Generalized Operator Based Prony Method

2020 ◽  
Vol 52 (2) ◽  
pp. 247-282 ◽  
Author(s):  
Kilian Stampfer ◽  
Gerlind Plonka
Keyword(s):  
Linear Operator ◽  
Numerical Stability ◽  
Sampling Scheme ◽  
Sparse Signal ◽  
Reconstruction Technique ◽  
Recovery Method ◽  
Acquisition Process ◽  
Prony Method ◽  
Generalized Operator ◽  
Signal Models

Abstract The generalized Prony method is a reconstruction technique for a large variety of sparse signal models that can be represented as sparse expansions into eigenfunctions of a linear operator A. However, this procedure requires the evaluation of higher powers of the linear operator A that are often expensive to provide. In this paper we propose two important extensions of the generalized Prony method that essentially simplify the acquisition of the needed samples and, at the same time, can improve the numerical stability of the method. The first extension regards the change of operators from A to $$\varphi (A)$$ φ ( A ) , where $$\varphi $$ φ is a suitable operator-valued mapping, such that A and $$\varphi (A)$$ φ ( A ) possess the same set of eigenfunctions. The goal is now to choose $$\varphi $$ φ such that the powers of $$\varphi (A)$$ φ ( A ) are much simpler to evaluate than the powers of A. The second extension concerns the choice of the sampling functionals. We show how new sets of different sampling functionals $$F_{k}$$ F k can be applied with the goal being to reduce the needed number of powers of the operator A (resp. $$\varphi (A)$$ φ ( A ) ) in the sampling scheme and to simplify the acquisition process for the recovery method.

Potentialities of the comparison of «Sich-1M» side looking radar data and foreign satellite information

2004 ◽  
Vol 10 (2-3) ◽  
pp. 93-100
Author(s):  
V.V. Malynovskyi ◽  
◽  
V.P. Zubko ◽  
V.V. Pustovoitenko ◽  
◽  
...  
Keyword(s):  
Radar Data ◽  
Satellite Information ◽  
Side Looking Radar

INTELLIGENT ANALYSIS OF RADAR DATA BASED ON FUZZY TRANSFORMS

2018 ◽  
Vol 77 (15) ◽  
pp. 1321-1329 ◽  
Author(s):  
S.V. Solonskaya ◽  
V. V. Zhirnov
Keyword(s):  
Radar Data ◽  
Intelligent Analysis
Sign in / Sign up

Export Citation Format

Share Document