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Leopold Bömer

dblp:54/4869 · DBLP profile ↗
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12ranked-venue papers
10as first author
0since 2021 · last 1995
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Graphics, computer vision, multimedia, augmented reality and games · 5 · 5 first-authorTheory of computation · 4 · 2 first-authorComputer networks · 2 · 2 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
6 papers
Coding theory · 99% Combinatorics and discrete mathematics · 1%
Computer networks
1 paper
Physical-layer communications · 100%

Topics — the 15 heaviest of 16, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Coding theory › sequences
sequence design
0.031994
Perfect three-level and three-phase sequences and arrays · IEEE Trans. Commun. 1994
Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span · IEEE Trans. Inf. Theory 1992
Perfect ternary arrays · IEEE Trans. Inf. Theory 1990
Coding theory › sequences › sequence design
perfect arrays
0.021994
Perfect three-level and three-phase sequences and arrays · IEEE Trans. Commun. 1994
Perfect ternary arrays · IEEE Trans. Inf. Theory 1990
Coding theory › sequences › sequence design › low-correlation sequence
perfect sequences
0.021994
Perfect three-level and three-phase sequences and arrays · IEEE Trans. Commun. 1994
Perfect ternary arrays · IEEE Trans. Inf. Theory 1990
Coding theory › sequences › sequence design › correlation properties
periodic autocorrelation
0.021992
Perfect N-Phase Sequences and Arrays · IEEE J. Sel. Areas Commun. 1992
Perfect ternary arrays · IEEE Trans. Inf. Theory 1990
Coding theory › sequences
linear complexity
0.011992
Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span · IEEE Trans. Inf. Theory 1992
Coding theory › sequences
pseudorandom sequences
0.011992
Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span · IEEE Trans. Inf. Theory 1992
Coding theory › sequences › sequence design › correlation properties
two-level autocorrelation
0.011992
Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span · IEEE Trans. Inf. Theory 1992
Coding theory › sequences › sequence design
binary arrays
0.021990
Two-dimensional perfect binary arrays with 64 elements · IEEE Trans. Inf. Theory 1990
Periodic complementary binary sequences · IEEE Trans. Inf. Theory 1990
Coding theory › sequences › sequence design
perfect binary arrays
0.021990
Two-dimensional perfect binary arrays with 64 elements · IEEE Trans. Inf. Theory 1990
Periodic complementary binary sequences · IEEE Trans. Inf. Theory 1990
Coding theory › sequences
complementary sequences
0.011990
Periodic complementary binary sequences · IEEE Trans. Inf. Theory 1990
Coding theory › sequences › pseudorandom sequences
legendre sequences
0.011994
Perfect three-level and three-phase sequences and arrays · IEEE Trans. Commun. 1994
Coding theory › sequences › linear recurrence sequences
shift register sequences
0.011994
Perfect three-level and three-phase sequences and arrays · IEEE Trans. Commun. 1994
Cryptographic primitives and cryptanalysis › pseudorandomness
pseudorandom sequence
0.011992
Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span · IEEE Trans. Inf. Theory 1992
Combinatorics and discrete mathematics › combinatorial design
difference families
0.011990
Periodic complementary binary sequences · IEEE Trans. Inf. Theory 1990
Coding theory › constrained coding
synchronization
0.011990
Two-dimensional perfect binary arrays with 64 elements · IEEE Trans. Inf. Theory 1990

Methods — techniques the papers use, named apart from their topics

computer search · 0.0sequence construction · 0.0mathematical construction · 0.0finite field mapping · 0.0autocorrelation analysis · 0.0recursive construction · 0.0combinatorial construction · 0.0
YearPublicationVenuePosition
1995 A CDMA radio link with 'turbo-decoding': concept and performance evaluation
abstract
This paper focuses on a CDMA radio link with a 'turbo-decoding' (TD) scheme. The radio link concept is based on the requirements for third generation mobile radio communications. The performance of the CDMA link is evaluated for ATM service scenarios with 32 kbit/s low-delay speech and 64 kbit/s data transmission. For this reason, Monte-Carlo simulations based on measured mobile radio impulse responses are performed. As a reference to which TD can be compared, a one-dimensional convolutional code with soft-decision Viterbi decoding (VD) is alternatively used. The simulation results show that a single coding scheme with TD may be advantageously applied for data as well as for low-delay speech services.
Leopold Bömer, F. Burkert, J. Eichinger, Rüdiger Halfmann, W. Liegl, Marc Werner
PIMRC1
1994 Perfect three-level and three-phase sequences and arrays
abstract
Introduces construction methods for synthesizing new classes of perfect sequences and arrays. Time discrete sequences and arrays are perfect, if their periodic autocorrelation function sidelobes are zero. The construction of perfect three-level and three-phase sequences is performed in two steps. In the first step, a maximal length shift-register sequence with elements in GF(q) is built for a length of g/sup m//spl minus/1, where q is a prime power and m is a positive integer. In the second step, a sequence is constructed by mapping the elements of the shift-register sequence to 1, b/sub 1/ or b/sub 2/. Two real numbers b/sub 1/ and b/sub 2/ are determined such that the sequence becomes perfect and has high energy efficiency. The phase values for complex numbers b/sub 1/ and b/sub 2/ with magnitude 1 are given for perfect three-phase sequences. It is shown that the phase values of b/sub 1/ and b/sub 2/ tend for growing lengths to 2/spl pi//3 and 4/spl pi//3. A different similar synthesizing method starts with Legendre sequences. The construction of perfect three-level and three-phase arrays is performed by several methods, which make use of the new respective sequences.>
Leopold Bömer, Markus Antweiler
IEEE Trans. Commun.1
1993 Optimizing the aperiodic merit factor of binary arrays
Leopold Bömer, Markus Antweiler
Signal Process.1
1992 Perfect arrays with small phase alphabet
abstract
Perfect arrays are defined by having zero out-of-phase autocorrelation sidelobes. Such arrays find many applications, e.g. in two-dimensional synchronization techniques. With a known construction method, it is shown that perfect phase arrays can be obtained for every size. However, the phase alphabets of these constructed phase arrays increase by the size of the arrays. With further construction schemes the phase alphabet of perfect phase arrays can be reduced for particular sizes. Classes of perfect phase arrays are obtained whose phase alphabet does not increase with the size of the arrays.>
Leopold Bömer, Markus Antweiler, Hans D. Schotten
ICASSP1
1992 Perfect N-Phase Sequences and Arrays
abstract
Perfect sequences and arrays have periodic autocorrelation functions whose out-of-phase values are zero. Time-discrete N-phase sequences and arrays have complex elements of magnitude one, and one of (2 pi /N)n, 0>
Leopold Bömer, Markus Antweiler
IEEE J. Sel. Areas Commun.1
1992 Complex sequences over GF(pM) with a two-level autocorrelation function and a large linear span
abstract
New complex sequences with elements are proposed that have constant absolute values of 1. The periodic autocorrelation functions of these sequences are shown to be two-level. The sequences are generated by three consecutive mapping processes. The number of sequences of fixed length is determined, which is larger than the number of binary sequences. For cryptographical reasons, the large linear span of the sequences is of great interest. The linear span of the new sequences is examined and is proven to be larger than the linear span of complex m-sequences, if the parameters of the mapping processes are appropriately chosen. The formula for generating the sequences is generalized to enlarge the linear span of sequences.>
Markus Antweiler, Leopold Bömer
IEEE Trans. Inf. Theory2
1991 Long energy efficient Huffman sequences
abstract
An iterative method for increasing the energy efficiencies of given Huffman sequences is introduced. The iteration scheme works by varying the roots and the radius of the Z-transformation of Huffman sequences. The algorithm allows the intensity of the variations of the possible root positions to be changed. In this way the energy efficiencies of long real and complex valued Huffman sequences can be optimized. The algorithm has been applied to known Huffman sequences. The resulting efficiencies of real and complex valued Huffman sequences are given up to 100 elements.>
Leopold Bömer, Markus Antweiler
ICASSP1
1990 Binary and biphase sequences and arrays with low periodic autocorrelation sidelobes
abstract
Binary sequences and arrays with the highest possible PACF merit factor, which is a measure for a low PACF (periodic autocorrelation function) sidelobe energy, are investigated. It is shown that some of these sequences and arrays can be obtained with known construction schemes; others are found by methods of complete computer search. The resulting PACF merit factors are given in a table up to 39 elements. A transformation from pseudonoise sequences into biphase sequences is introduced for the construction of a new class of biphase sequences and arrays with zero autocorrelation sidelobes.>
Leopold Bömer, Markus Antweiler
ICASSP1
1990 Perfect ternary arrays
abstract
Signals of two or more dimensions with ideal impulse-like periodic autocorrelation functions are used in higher-dimensional signal processing or in radar systems. Four synthesizing methods for perfect ternary arrays are presented. Based on known perfect binary and ternary sequences and arrays, many new perfect ternary arrays with increasing number of elements are constructed. New strong conditions for the existence of perfect arrays are developed. By combining these conditions with an advanced computer search, new ternary arrays are found. These new ternary arrays can be used as starting arrays to construct additional perfect ternary sequences and arrays.>
Markus Antweiler, Leopold Bömer, Hans-Dieter Lüke
IEEE Trans. Inf. Theory2
1990 Two-dimensional perfect binary arrays with 64 elements
abstract
Perfect binary arrays can exist for numbers of elements that are even square numbers. Two-dimensional (2-D) perfect binary arrays are 4, 16, 36, and 144 elements are known. Perfect binary arrays with 64 elements can be constructed for three or more dimensions. Here, two-dimensional binary arrays with 64 elements are examined. The results of computer search for symmetric binary arrays with 64 elements are presented in the form of two 2-D perfect binary arrays with sizes 8*8 and 4*16. Applications of these perfect binary arrays are in 2-D synchronization, time-frequency coding, and coding loudspeaker fields.>
Leopold Bömer, Markus Antweiler
IEEE Trans. Inf. Theory1
1990 Periodic complementary binary sequences
abstract
Existence conditions and recursive construction procedures for sets of periodic complementary binary sequences are given. Relationships to sets of aperiodic complementary binary sequences and to perfect binary arrays, whose two-dimensional periodic autocorrelation function is a delta function, are noted. The connections of periodic complementary binary sequences and difference families are given. Sets of periodic complementary binary sequences, which result from computer search, are presented. A diagram showing what is currently known about the existence of periodic complementary binary sequences with P>
Leopold Bömer, Markus Antweiler
IEEE Trans. Inf. Theory1
1989 Two-dimensional binary arrays with constant sidelobe in their PACF
abstract
A survey is presented of different methods for constructing binary arrays with constant PACF sidelobes. For each method the sizes, numbers of elements, and PACF sidelobe level of the resulting binary arrays are specified. Binary arrays with vanishing sidelobes are considered in detail. Properties of the discrete Fourier transform of arrays with constant PACF sidelobes are examined. These properties are shown to be of great importance in acoustics.>
Leopold Bömer, Markus Antweiler
ICASSP1