FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2296291249> ?p ?o ?g. }

• W2296291249 abstract "This dissertation studies the role of frames as codes. Frames are families of vectors that give rise to embeddings of Hilbert spaces. These embeddings can be interpreted as codes, because possible linear dependencies among frame vectors can be used to recover missing components in the embedded data, so-called erasures. This dissertation is dedicated to structured erasures. One type of structured erasure occurs when consecutive frame coefficients are lost due to the occurrence of random burst errors. Assuming that the distribution of bursts is invariant under cyclic shifts and that the burst-length statistics are known, we wish to find frames of a given size, which minimize the mean-square reconstruction error for the encoding of vectors in a complex finite-dimensional Hilbert space. We derive statistical error bounds for a given Parseval frame and relate them to its generalized frame potential. In the case of cyclic Parseval frames, we find a family of frames which minimizes the upper bound. Under certain conditions, these minimizers are identical to complex BoseChaudhuri-Hocquenghem(BCH) codes discussed in the literature. The accuracy of our upper bounds for the mean-square error is substantiated by complementary lower bounds. Another part of the dissertation concerns the transmission of digital media, typically following a protocol that splits data into a number of packets having a fixed size. When such packets are sent over a network such as the Internet, there is in principle no guarantee of reliability, that is, the contents of each packet may become corrupted in the course of transmission or entire packets may be lost due to buffer overflows. We assume that during the transmission, only a few of these packets are" @default.
• W2296291249 created "2016-06-24" @default.
• W2296291249 creator A5051785768 @default.
• W2296291249 date "2012-12-01" @default.
• W2296291249 modified "2023-09-27" @default.
• W2296291249 title "FRAMES AS CODES FOR STRUCTURED ERASURES" @default.
• W2296291249 cites W1496108277 @default.
• W2296291249 cites W1571821595 @default.
• W2296291249 cites W1608864629 @default.
• W2296291249 cites W1624195452 @default.
• W2296291249 cites W1819813066 @default.
• W2296291249 cites W1856929377 @default.
• W2296291249 cites W1964552875 @default.
• W2296291249 cites W1966245736 @default.
• W2296291249 cites W1976318178 @default.
• W2296291249 cites W1996415070 @default.
• W2296291249 cites W2007342253 @default.
• W2296291249 cites W2015418199 @default.
• W2296291249 cites W2030449718 @default.
• W2296291249 cites W2032092897 @default.
• W2296291249 cites W2037259582 @default.
• W2296291249 cites W2042656593 @default.
• W2296291249 cites W2042753947 @default.
• W2296291249 cites W2050507755 @default.
• W2296291249 cites W2051772613 @default.
• W2296291249 cites W2053171205 @default.
• W2296291249 cites W2057758839 @default.
• W2296291249 cites W2063142364 @default.
• W2296291249 cites W2072565885 @default.
• W2296291249 cites W2074216082 @default.
• W2296291249 cites W2083774980 @default.
• W2296291249 cites W2086869478 @default.
• W2296291249 cites W2088658556 @default.
• W2296291249 cites W2091144537 @default.
• W2296291249 cites W2096185893 @default.
• W2296291249 cites W2100395640 @default.
• W2296291249 cites W2102019860 @default.
• W2296291249 cites W2105605631 @default.
• W2296291249 cites W2106100486 @default.
• W2296291249 cites W2113272548 @default.
• W2296291249 cites W2113635595 @default.
• W2296291249 cites W2124984031 @default.
• W2296291249 cites W2125915073 @default.
• W2296291249 cites W2125952551 @default.
• W2296291249 cites W2129131372 @default.
• W2296291249 cites W2129638195 @default.
• W2296291249 cites W2136760838 @default.
• W2296291249 cites W2145096794 @default.
• W2296291249 cites W2145988782 @default.
• W2296291249 cites W2146483404 @default.
• W2296291249 cites W2148575324 @default.
• W2296291249 cites W2152611675 @default.
• W2296291249 cites W2152953137 @default.
• W2296291249 cites W2153623795 @default.
• W2296291249 cites W2157132273 @default.
• W2296291249 cites W2157312770 @default.
• W2296291249 cites W2164452299 @default.
• W2296291249 cites W2167134753 @default.
• W2296291249 cites W2172023570 @default.
• W2296291249 cites W2182304189 @default.
• W2296291249 cites W2183314389 @default.
• W2296291249 cites W2296616510 @default.
• W2296291249 cites W3216147140 @default.
• W2296291249 cites W135802680 @default.
• W2296291249 cites W2087377426 @default.
• W2296291249 hasPublicationYear "2012" @default.
• W2296291249 type Work @default.
• W2296291249 sameAs 2296291249 @default.
• W2296291249 citedByCount "0" @default.
• W2296291249 crossrefType "dissertation" @default.
• W2296291249 hasAuthorship W2296291249A5051785768 @default.
• W2296291249 hasConcept C102519508 @default.
• W2296291249 hasConcept C103088060 @default.
• W2296291249 hasConcept C11413529 @default.
• W2296291249 hasConcept C118615104 @default.
• W2296291249 hasConcept C126042441 @default.
• W2296291249 hasConcept C134306372 @default.
• W2296291249 hasConcept C158379750 @default.
• W2296291249 hasConcept C199360897 @default.
• W2296291249 hasConcept C202444582 @default.
• W2296291249 hasConcept C203024314 @default.
• W2296291249 hasConcept C2778790127 @default.
• W2296291249 hasConcept C31258907 @default.
• W2296291249 hasConcept C33923547 @default.
• W2296291249 hasConcept C41008148 @default.
• W2296291249 hasConcept C42276685 @default.
• W2296291249 hasConcept C62799726 @default.
• W2296291249 hasConcept C76155785 @default.
• W2296291249 hasConcept C76563020 @default.
• W2296291249 hasConcept C77553402 @default.
• W2296291249 hasConcept C89451469 @default.
• W2296291249 hasConceptScore W2296291249C102519508 @default.
• W2296291249 hasConceptScore W2296291249C103088060 @default.
• W2296291249 hasConceptScore W2296291249C11413529 @default.
• W2296291249 hasConceptScore W2296291249C118615104 @default.
• W2296291249 hasConceptScore W2296291249C126042441 @default.
• W2296291249 hasConceptScore W2296291249C134306372 @default.
• W2296291249 hasConceptScore W2296291249C158379750 @default.
• W2296291249 hasConceptScore W2296291249C199360897 @default.
• W2296291249 hasConceptScore W2296291249C202444582 @default.

• next