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Technische Universität München
Technische Universität München

Foto von Georg Böcherer

PD Dr.-Ing. habil. Georg Böcherer

Technische Universität München

Lehrstuhl für Nachrichtentechnik (Prof. Kramer)

Postadresse

Postal:
Theresienstr. 90
80333 München

Lebenslauf

Georg Böcherer absolvierte sein Diplomstudium in Elektrotechnik und Informationstechnologie an der ETH Zürich. Als Austauschstudent studierte er ein Semester lang an der EPF in Lausanne. Er schrieb seine Diplomarbeit an der Staatlichen Universität von Pernambuco in Recife, Brasilien. Von 2007 bis 2012 arbeitete er als wissenschaftlicher Mitarbeiter am Institut für Theoretische Informationstechnologie an der RWTH Aachen und erhielt den Doktortitel (summa cum laude) im Jahr 2012. Seit April 2012 arbeitet er am Lehrstuhl für Nachrichtentechnik an der Technischen Universität München. Seine Doktorarbeit über Probabilistic Shaping wurde mit dem E-Plus Dissertationspreis ausgezeichnet. Seine Arbeit über die Kodierung der ICT Cubes wurde als bester Beitrag auf der ISWCS 2011 honoriert. Zusammen mit zwei seiner ehemaligen Masterstudenten gewann er 2015 einen Bell Labs Preis. Er war Mitorganisator des Munich Workshop on Coding and Modulation (MCM 2015).

Lehre

Vorlesung

Übungsassistent

Research Interests

Coded Modulation with Probabilistic Shaping

In Shannon theory, the key step in calculating capacity of a communication channel is to determine the capacity-achieving input distribution. In practical systems however, almost exclusively uniform input distributions are employed. This results in the so called shaping gap, i.e., a reduction of the maximum theoretically achievable rate for reliable communication. The goal is to develop practical tools that provably allow to overcome the shaping gap. To this end, the generation of capacity-achieving distributions, forward error correction and modulation are jointly considered.

Simulation of Random Processes

The generation of random numbers with a distribution that matches (resembles) a given target distribution is a core problem relevant to many communication scenarios such as data compression, constrained coding, coded modulation, and information theoretic security. The appropriate measure of resemblance from an information theoretic point of view is the informational divergence between the generated distribution and the target distribution. I am interested in theoretic limits, algorithms, and applications.

Projekte

Publikationen

2023

  • Lentner, D.; Ben Yacoub, E.; Calabro, S.; Boecherer, G.; Stojanovic, N.; Kramer, G.: Concatenated forward error correction with KP4 and single parity check codes. IEEE/OSA J. Lightw. Technol., 2023 mehr… Volltext ( DOI )

2021

  • Polar coding with dynamic frozen bits. 2021, (anderer Eintrag) mehr…
  • Böcherer, G.; Diedolo, F.; Pittala, F.: Label Extension for 32QAM: The Extra Bit for a Better FEC Performance-Complexity Tradeoff. 2020 European Conference on Optical Communications (ECOC), IEEE, 2021 mehr… Volltext ( DOI )

2020

  • Error detection using symbol distribution in a system with distribution matching and probabilistic amplitude shaping. 2020, (anderer Eintrag) mehr…
  • Barakatain, M.; Lentner, D.; Böcherer, G.; Kschischang, F.: Performance-Complexity Tradeoffs of Concatenated FEC for Higher-Order Modulation. IEEE/OSA Journal of Lightwave Technology 38 (11), 2020, 2944-2953 mehr… Volltext ( DOI )
  • Böcherer, G.; Schulte, P.; Steiner, F.: Probabilistic Shaping: A Random Coding Experiment. International Zurich Seminar on Information and Communication Proceedings, 2020 mehr… Volltext (mediaTUM)

2019

  • Barakatain, M.; Lentner, D.; Böcherer, G.; Kschischang, F.: Performance-Complexity Tradeoffs of Concatenated FEC for 64-QAM MLC and BICM. European Conference on Optical Communication (ECOC), 2019 mehr…
  • Böcherer, G.; Lentner, D.; Cirino, A.; Steiner, F.: Probabilistic Parity Shaping for Linear Codes. Munich Doctoral Seminar on Communications, 2019 mehr…
  • Böcherer, G.; Schulte, P.; Steiner, F.: Probabilistic Shaping and Forward Error Correction for Fiber-Optic Communication Systems. IEEE/OSA Jorunal of Lightwave Technology, 2019 mehr… Volltext ( DOI )
  • Yuan, P.; Steiner, F.; Prinz, T.; Böcherer, G.; İşcan, O.; Böhnke, R.; Xu, W.: Polar Code Construction for List Decoding. International ITG Conference on Systems, Communications and Coding, 2019 mehr…

2018

  • Donev, D.; Böcherer, G.: Polar-Coded Pulse Position Modulation for the Poisson Channel. 9th Advanced Satellite Multimedia Systems Conference, 2018 mehr…
  • Steiner, F.; Böcherer, G.; Liva, G.: Bit-Metric Decoding of Non-Binary LDPC Codes with Probabilistic Amplitude Shaping. IEEE Communication Letters 22, 2018, 2210-2213 mehr… Volltext ( DOI )
  • Steiner, F.; Schulte, P.; Böcherer, G.: Blind Decoding-Metric Estimation for Probabilistic Shaping via Expectation Maximization. European Conference on Optical Communication (ECOC), 2018, Th1H.3 mehr…
  • Steiner, F.; Da Silva, F.,; Yankov M.; Böcherer, G.; Schulte, P.; Forchhammer, S.; Kramer, G.: Experimental Verification of Rate Flexibility and Probabilistic Shaping by 4D Signaling. Optical Fiber Communication Conference (OFC 2018), 2018, M4E.3 mehr…
  • Yuan, P.; Steiner, F.; Prinz, T.; Böcherer, G.: Flexible IR-HARQ Scheme for Polar-Coded Modulation. IEEE Wireless Commun. Netw. Conf. (WCNC), 2018 mehr…

2017

  • Böcherer, G.: Probabilistic Shaping in Fiber-Optic Communication Systems. ITG Workshop 5.3.1, 2017 mehr…
  • Böcherer, G.: Probabilistic Shaping: An Information-Theoretic Foundation. 18th Joint Workshop on Communications and Coding (JWCC), 2017 mehr…
  • Böcherer, G.; Prinz, T.; Yuan, P.; Steiner, F.: Efficient Polar Code Construction for Higher-Order Modulation. IEEE Wireless Commun. Netw. Conf. (WCNC), 2017 mehr…
  • Böcherer, G.; Steiner, F.: New Modulation and Coding Paradigms for 5G and Beyond. ISWCS 2017, 2017 mehr…
  • Böcherer, G.; Steiner, F.; Schulte, P.: Fast Probabilistic Shaping Implementationfor Long-Haul Fiber-Optic Communication Systems. ECOC 2017, 2017 mehr…
  • Fehenberger, T.; Alvarado, A.; Böcherer, G.; Hanik, N.: On the Impact of Probabilistic Shaping on SNR and Information Rates in Multi-Span WDM Systems. Optical Fiber Communication Conference, OSA, 2017 mehr… Volltext ( DOI )
  • Idler, W.; Buchali, F.; Schmalen, L.; Lach, E.; Braun, R.-P.; Böcherer, G.; Schulte, P.; Steiner, F.: Field Trial of a 1 Tb/s Super-Channel Network Using Probabilistically Shaped Constellations. J. Lightwave Technol. 35 (8), 2017, 1399-1406 mehr… Volltext ( DOI )
  • Prinz, T.; Yuan, P.; Böcherer, G.; Steiner, F.; İşcan, O.; Böhnke, R.; Xu, W.: Polar Coded Probabilistic Amplitude Shaping for Short Packets. IEEE International Workshop on Signal Processing Advances in Wireless Communications, 2017 mehr…
  • Renner, J.; Fehenberger, T.; Yankov, P.; Da Ros, F.; Forchhammer, S.; Böcherer, G; Hanik, N.: Experimental Comparison of Probabilistic Shaping Methods for Unrepeated Fiber Transmission. IEEE/OSA Journal of Lightwave Technology 35 (22), 2017 mehr… Volltext ( DOI )
  • Schulte, P.; Steiner, F.; Böcherer, G.: Four Dimensional Probabilistic Shaping for Fiber-Optic Communication. Signal Processing in Photonic Communications 2017, 2017, SpM2F.5 mehr…
  • Steiner, F.; Böcherer, G.: Comparison of Geometric and Probabilistic Shaping with Application to ATSC 3.0. 11th International ITG Conference on Systems, Communications and Coding 2017 (SCC'2017), 2017 mehr…
  • Steiner, F; Liva, G; Böcherer, G.;: Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping. Globecom 2017, 2017 mehr…
  • Thangaraj, A.; Kramer, G.; Böcherer, G.: Capacity bounds for discrete-time, amplitude-constrained, additive white Gaussian noise channels. IEEE Trans. Inf. Theory 63 (7), 2017, 4172-4182 mehr… Volltext ( DOI )

2016

  • Buchali, F.; Idler, W.; Schmalen, L.; Böcherer, G.; Schulte, P.; Steiner, F.: Probabilistically Shaped QAM for Independent Reach, Spectral Efficiency and Bit-rate Adaptation. European Conference on Optical Communication (ECOC), 2016 mehr…
  • Buchali, F.; Idler, W.; Schuh, K.; Schmalen, L.; Böcherer, G.; Schulte, P.; Steiner, F.; Eriksson, T. A.: Study of electrical subband multiplexing at 54 GHz modulation bandwidth for 16QAM and probabilistically shaped 64QAM. European Conference on Optical Communication (ECOC), 2016 mehr…
  • Buchali, F.; Steiner, F.; Böcherer, G.; Schmalen, L.; Schulte, P.; Idler, W.: Rate Adaptation and Reach Increase by Probabilistically Shaped 64-QAM: An Experimental Demonstration. J. Lightwave Technol., 2016 mehr… Volltext ( DOI )
  • Böcherer, G.: Coding and Modulation for Communication at the Shannon Limit. LNT Communications Seminar, 2016 mehr…
  • Böcherer, G.: On Surrogate Channels for Code Design. Second LNT & DLR Summer Workshop on Coding, 2016 mehr…
  • Böcherer, G.: Polar Codes: A Candidate for 5G. Center of Competence Communications (TUM-COM) Workshop on 5G Mobile Technology, 2016 mehr…
  • Böcherer, G.: Experimental Information Theory: Achievable Rates from Measurements. Bertinoro Workshop on Communications and Coding, 2016 mehr…
  • Böcherer, G.: Achievable Rate Estimates from Fiber-Optic Transmission Experiment Measurements. Sixth Van Der Meulen Seminar, 2016 mehr…
  • Böcherer, G.: Probabilistic Shaping: A Technique to Boost Fiber-Optic Transmission. TUM Institute for Advanced Study: Wednesday Coffee Talk, 2016 mehr…
  • Böcherer, G.; Steiner, F.; Schulte, P.: Opportunities of Probabilistic Shaping for Fiber-Optic Communications. Latin America Optics and Photonics Conference (LAOP), 2016 mehr… Volltext ( DOI )
  • Fehenberger, T.; Alvarado, A.; Böcherer, G.; Hanik, N.: On Probabilistic Shaping of Quadrature Amplitude Modulation for the Nonlinear Fiber Channel. Journal of Lightwave Technology 34 (21), 2016, 5064-5074 mehr… Volltext ( DOI )
  • Geiger, B.C.; Böcherer, G.: Greedy Algorithms for Optimal Distribution Approximation. Entropy 18, 2016, 262 mehr… Volltext ( DOI )
  • Idler, W.; Buchali, F.; Schmalen, L.; Lach, E.; Braun, R.-P.; Böcherer, G.; Schulte, P.; Steiner, F.: Field Demonstration of 1 Tbit/s Super-Channel Network Using Probabilistically Shaped Constellations. European Conference on Optical Communication (ECOC), 2016 mehr…
  • Pikus, M.; Kramer, G.; Böcherer, G.: Discrete signaling for non-coherent, single-antenna, Rayleigh block-fading channels. IEEE Commun. Lett., 2016 mehr… Volltext ( DOI )
  • Schulte, P.; Böcherer, G.: Constant Composition Distribution Matching. IEEE Trans. Inf. Theory, 2016 mehr… Volltext ( DOI )
  • Steiner, F.; Böcherer, G.; Liva, G.: Protograph-Based LDPC Code Design for Shaped Bit-Metric Decoding. IEEE J. Sel. Areas Commun., 2016 mehr… Volltext ( DOI )

2015

  • Baur, S.; Böcherer, G.: Arithmetic Distribution Matching. International ITG Conference on Systems, Communications and Coding, 2015 mehr…
  • Buchali, F.; Böcherer, G.; Idler, W.; Schmalen, L.; Schulte, P.; Steiner, F.: Experimental Demonstration of Capacity Increase and Rate-Adaptation by Probabilistically Shaped 64-QAM. European Conference on Optical Communication (ECOC), 2015 mehr… Volltext (mediaTUM)
  • Böcherer, G.: Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded Modulation. Seminar at NCTU Institute of Communications Engineering, 2015 mehr…
  • Böcherer, G.: Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded Modulation. NEWCOM# Emerging Topics Workshop, Cambridge, UK, 2015 mehr…
  • Böcherer, G.: Bandwidth Efficient and Rate-Compatible Low-Density Parity-Check Coded Modulation. Seminar at UCLA Communications Systems Laboratory, 2015 mehr…
  • Böcherer, G.: Closing the Ultimate Gap to Shannon Capacity. LNT Doctoral Seminar, 2015 mehr…
  • Böcherer, G.; Schulte, P.; Steiner, F.: Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded Modulation. Coding and Transmission Schemes for High Rate Communications Systems, 2015, 24 mehr… Volltext (mediaTUM)
  • Böcherer, G.; Steiner, F.; Schulte, P.: Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded Modulation. IEEE Trans. Commun., 2015 mehr… Volltext ( DOI ) Volltext (mediaTUM)
  • Böcherer, G.; Schulte, P.;: Probabilistic Amplitude Shaping: Rate-Adaptive LDPC Coded Modulation. 17th Joint Conference on Communications and Coding (JCCC), 2015 mehr…
  • Fehenberger, T.; Böcherer, G.; Alvarado, A.; Hanik, N.: LDPC coded modulation with probabilistic shaping for optical fiber systems. Optical Fiber Conference (OFC), 2015 mehr… Volltext (mediaTUM)
  • Steiner, F.; Böcherer, G.; Liva, G.: Protograph-Based LDPC Code Design for Bit-Metric Decoding. IEEE Int. Symp. Inf. Theory, 2015 mehr…
  • Thangaraj, A.; Kramer, G.; Böcherer, G.: Capacity upper bounds for discrete-time amplitude-constrained AWGN channels. IEEE Int. Symp. Inf. Theory, 2015 mehr…

2014

  • Böcherer, G.: Labeling Non-Square QAM Constellations for One-Dimensional Bit-Metric Decoding. IEEE Commun. Lett., 2014 mehr…
  • Böcherer, G.: Probabilistic Signal Shaping for Modulation and Coding. Seminar at Associate Institute for Signal Processing, TU Munich, 2014 mehr…
  • Böcherer, G.: Probabilistic Shaping and Channel Coding in Gaussian Noise. LNT & DLR Summer Workshop on Coding, 2014 mehr…
  • Böcherer, G.: Probabilistic Signal Shaping for Bit-Metric Decoding. IEEE Int. Symp. Inf. Theory, 2014 mehr…
  • Böcherer, G.; Amjad, R. A.: Informational Divergence and Entropy Rate on Rooted Trees with Probabilities. IEEE Int. Symp. Inf. Theory (ISIT), 2014 mehr…
  • Böcherer, G.; Fehenberger, T.;: LDPC Coded Modulation with Probabilistic Shaping for Optical Fiber Systems. Munich Workshop on Information Theory of Optical Fiber, 2014 mehr…
  • Böcherer, G.; Schulte, P.; Steiner, F.: Probabilistic Amplitude Shaping: Rate-Adaptive LDPC Coded Modulation. Bell Labs Future X Days, 2014 mehr…

2013

  • Amjad, R. A.; Böcherer, G.: Fixed-to-Variable Length Distribution Matching. IEEE Int. Symp. Inf. Theory(ISIT), 2013 mehr…
  • Böcherer, G.: Block-to-Block Distribution Matching. Joint Conference on Communications and Coding 2013 mehr…
  • Böcherer, G.: Optimal Non-Uniform Mapping for Probabilistic Shaping. International ITG Conference on Systems, Communications and Coding, 2013 mehr…
  • Böcherer, G.; Amjad, R. A.: Fixed-to-Variable Length Resolution Coding for Target Distributions. IEEE Information Theory Workshop (ITW), 2013 mehr…

2012

  • Böcherer, G.; Altenbach, F.; Alvarado, A.; Corroy,S.; Mathar, R.: An Efficient Algorithm to Calculate BICM Capacity. IEEE International Symposium on Information Theory, 2012 mehr…

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