Matches in SemOpenAlex for { <https://semopenalex.org/work/W316944375> ?p ?o ?g. }
- W316944375 abstract "In the last few years, several new methods have been developed for the sampling and exact reconstruction of specific classes of non-bandlimited signals known as signals with finite rate of innovation (FRI). This is achieved by using adequate sampling kernels and reconstruction schemes. An example of valid kernels, which we use throughout the thesis, is given by the family of exponential reproducing functions. These satisfy the generalised Strang-Fix conditions, which ensure that proper linear combinations of the kernel with its shifted versions reproduce polynomials or exponentials exactly. The first contribution of the thesis is to analyse the behaviour of these kernels in the case of noisy measurements in order to provide clear guidelines on how to choose the exponential reproducing kernel that leads to the most stable reconstruction when estimating FRI signals from noisy samples. We then depart from the situation in which we can choose the sampling kernel and develop a new strategy that is universal in that it works with any kernel. We do so by noting that meeting the exact exponential reproduction condition is too stringent a constraint. We thus allow for a controlled error in the reproduction formula in order to use the exponential reproduction idea with arbitrary kernels and develop a universal reconstruction method which is stable and robust to noise. Numerical results validate the various contributions of the thesis and in particular show that the approximate exponential reproduction strategy leads to more stable and accurate reconstruction results than those obtained when using the exact recovery methods." @default.
- W316944375 created "2016-06-24" @default.
- W316944375 creator A5089853928 @default.
- W316944375 creator A5033556225 @default.
- W316944375 date "2013-05-01" @default.
- W316944375 modified "2023-10-18" @default.
- W316944375 title "Exact and approximate Strang-Fix conditions to reconstruct signals with finite rate of innovation from samples taken with arbitrary kernels" @default.
- W316944375 cites W1479979375 @default.
- W316944375 cites W1514558801 @default.
- W316944375 cites W1536064112 @default.
- W316944375 cites W1542782021 @default.
- W316944375 cites W1579431389 @default.
- W316944375 cites W1813819678 @default.
- W316944375 cites W1965392255 @default.
- W316944375 cites W1966637115 @default.
- W316944375 cites W1967486001 @default.
- W316944375 cites W1968367099 @default.
- W316944375 cites W1971168247 @default.
- W316944375 cites W1973009575 @default.
- W316944375 cites W1996956434 @default.
- W316944375 cites W1997836277 @default.
- W316944375 cites W2003410902 @default.
- W316944375 cites W2013445129 @default.
- W316944375 cites W2014381155 @default.
- W316944375 cites W2018189982 @default.
- W316944375 cites W2024564324 @default.
- W316944375 cites W2027932797 @default.
- W316944375 cites W2030858745 @default.
- W316944375 cites W2031480341 @default.
- W316944375 cites W2033332370 @default.
- W316944375 cites W2037489965 @default.
- W316944375 cites W2051386531 @default.
- W316944375 cites W2065656021 @default.
- W316944375 cites W2066891525 @default.
- W316944375 cites W2069029246 @default.
- W316944375 cites W2071317135 @default.
- W316944375 cites W2074380172 @default.
- W316944375 cites W2084924291 @default.
- W316944375 cites W2086325670 @default.
- W316944375 cites W2089957712 @default.
- W316944375 cites W2091827823 @default.
- W316944375 cites W2092490046 @default.
- W316944375 cites W2096086749 @default.
- W316944375 cites W2096960845 @default.
- W316944375 cites W2097872824 @default.
- W316944375 cites W2098662489 @default.
- W316944375 cites W2099103871 @default.
- W316944375 cites W2099267803 @default.
- W316944375 cites W2101754154 @default.
- W316944375 cites W2102701524 @default.
- W316944375 cites W2103300762 @default.
- W316944375 cites W2105483458 @default.
- W316944375 cites W2110874571 @default.
- W316944375 cites W2113885710 @default.
- W316944375 cites W2118682956 @default.
- W316944375 cites W2122116331 @default.
- W316944375 cites W2122674146 @default.
- W316944375 cites W2123629701 @default.
- W316944375 cites W2123827510 @default.
- W316944375 cites W2125320262 @default.
- W316944375 cites W2128131274 @default.
- W316944375 cites W2128737575 @default.
- W316944375 cites W2132346118 @default.
- W316944375 cites W2133976060 @default.
- W316944375 cites W2134996791 @default.
- W316944375 cites W2135479785 @default.
- W316944375 cites W2135631911 @default.
- W316944375 cites W2136104104 @default.
- W316944375 cites W2138787877 @default.
- W316944375 cites W2141116650 @default.
- W316944375 cites W2143168132 @default.
- W316944375 cites W2145096794 @default.
- W316944375 cites W2149213383 @default.
- W316944375 cites W2153058280 @default.
- W316944375 cites W2153608957 @default.
- W316944375 cites W2155484207 @default.
- W316944375 cites W2155966058 @default.
- W316944375 cites W2158537680 @default.
- W316944375 cites W2158589846 @default.
- W316944375 cites W2159028956 @default.
- W316944375 cites W2159071216 @default.
- W316944375 cites W2160955696 @default.
- W316944375 cites W2164298970 @default.
- W316944375 cites W2164656607 @default.
- W316944375 cites W2166493798 @default.
- W316944375 cites W2166500461 @default.
- W316944375 cites W2167278803 @default.
- W316944375 cites W2170956054 @default.
- W316944375 cites W2171406132 @default.
- W316944375 cites W2181917850 @default.
- W316944375 cites W2222833901 @default.
- W316944375 cites W2233545183 @default.
- W316944375 cites W2261678932 @default.
- W316944375 cites W2296616510 @default.
- W316944375 cites W2610857016 @default.
- W316944375 cites W2798909945 @default.
- W316944375 cites W2965333369 @default.
- W316944375 cites W2991072940 @default.
- W316944375 cites W340244495 @default.
- W316944375 cites W2468682714 @default.