Foto von Ullrich Mönich

Dr.-Ing. Ullrich Mönich

Research

  • Signal and sampling theory
  • Applications of Computability Theory in Signal Processing
  • Physical layer security and demonstrator development within the NewCom project
  • Machine learning for forensic DNA analysis
  • PAPR reduction in OFDM systems

For a more detailed description of some recent research projects, please visit my personal website.

Teaching

Publications (MediaTUM)

2020

  • H. Boche, U. Mönich: Optimal Sampling Rate and Bandwidth of Bandlimited Signals - An Algorithmic Perspective. 45th International Conference on Acoustics, Speech, and Signal Processing, IEEE, 2020ICASSP 2020 more…
  • H. Boche, U. Mönich: Computability of the Peak Value of Bandlimited Signals. 45th International Conference on Acoustics, Speech, and Signal Processing, IEEE, 2020ICASSP 2020 more…
  • H. Boche, U. Mönich: Effective Approximation of Bandlimited Signals and Their Samples. 45th International Conference on Acoustics, Speech, and Signal Processing, IEEE, 2020ICASSP 2020 more…
  • H. Boche, U.J. Mönich: Turing Computability of Fourier Transforms of Bandlimited and Discrete Signals. IEEE Transactions on Signal Processing 68 (1), 2020, 532-547 more… Full text ( DOI )

2019

  • H. Boche, U.J. Mönich: Divergence Behavior of Sequences of Linear Operators with Applications. Journal of Fourier Analysis and Applications 25 (2), 2019, 427-459 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Downsampling of Bounded Bandlimited Signals and the Bandlimited Interpolation: Analytic Properties and Computability. IEEE Transactions on Signal Processing 67 (24), 2019, 6424-6439 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Computability of the Fourier Transform and ZFC. 13th International Conference on Sampling Theory and Applications, 2019SampTA more…
  • H. Boche, U.J. Mönich: Turing Computability of the Fourier Transform of Bandlimited Functions. 2019 IEEE International Symposium on Information Theory, IEEE, 2019ISIT 2019 more…
  • H. Boche, U.J. Mönich: On the Fourier Representation of Computable Continuous Signals. 2019 IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2019ICASSP 2019 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Analytic Properties of Downsampling for Bandlimited Signals. 2019 IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2019ICASSP 2019 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Tone Reservation for OFDM with Restricted Carrier Set. IEEE Transactions on Information Theory 65 (12), 2019, 7935-7949 more… Full text ( DOI )
  • H. Boche, U.J. Mönich, B. Meinerzhagen: Non-Existence of Convolution Sum System Representations. IEEE Transactions on Signal Processing 67 (10), 2019, 2649 - 2664 more… Full text ( DOI )

2018

  • H. Boche, U.J. Mönich: System Representation for the Paley-Wiener Space PW2π. Journal of Fourier Analysis and Applications 24 (1), 2018, 285-308 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Peak-to-Average Power Control via Tone Reservation in General Orthonormal Transmission Systems. IEEE Transactions on Signal Processing 66 (13), 2018, 3520 - 3528 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Distributional Behavior of Convolution Sum System Representations. IEEE Transactions on Signal Processing 66 (19), 2018, 5056-5065 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Tone Reservation and Solvability Concepts for the PAPR Problem in General Orthonormal Transmission Systems. IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2018ICASSP more…
  • H. Boche, U.J. Mönich: Optimal Tone Reservation for Peak to Average Power Control of CDMA Systems. IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2018ICASSP more…
  • H. Boche, U.J. Mönich: Solvability of the PAPR Problem for OFDM with Reduced Compensation Set. IEEE International Symposium on Information Theory, IEEE, 2018ISIT more…
  • H. Boche, U.J. Mönich: Optimal Tone Reservation for CDMA Systems. IEEE Transactions on Signal Processing 66 (23), 2018, 6216 - 6227 more… Full text ( DOI ) Full text (mediaTUM)
  • J. Großmannn, M. Koller, U.J. Mönich, H. Boche: Shift Invariance and Deformation Error Properties of Deep Convolutional Neural Networks Based on Wavelets. IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications, IEEE, 2018SPAWC more…
  • M. Koller, J. Großmann, U.J. Mönich, H. Boche: Deformation Stability of Deep Convolutional Neural Networks on Sobolev Spaces. IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2018ICASSP more…

2017

  • H. Boche, U.J. Mönich: Banach-Steinhaus theory revisited: Lineability and spaceability. Journal of Approximation Theory 213, 2017, 50-69 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Spaceability for Sets of Bandlimited Input Functions and Stable Linear Time-Invariant Systems with Finite Time Blowup Behavior. Problems of Information Transmission 53 (2), 2017, 164-182 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Energy Blowup for Truncated Stable LTI Systems. 42nd International Conference on Acoustics, Speech and Signal Processing, IEEE, 2017 more…
  • H. Boche, U.J. Mönich: A Banach Space Property for Signal Spaces with Applications for Sampling and System Approximation. 12th International Conference on Sampling Theory and Applications, IEEE, 2017 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Energy Blowup for System Approximations and Carleson's Theorem. 12th International Conference on Sampling Theory and Applications, IEEE, 2017 more… Full text ( DOI )
  • H. Boche, U.J. Mönich, E. Tampubolon: Spaceability and Strong Divergence of the Shannon Sampling Series and Applications. Journal of Approximation Theory 222, 2017, 157-174 more… Full text ( DOI )
  • H. Boche, U.J. Mönich, E. Tampubolon: Structure of the Set of Signals with Strong Divergence of the Shannon Sampling Series. 42nd IEEE International Conference on Acoustics, Speech and Signal Processing , IEEE, 2017 more…
  • H. Boche, U.J. Mönich, E. Tampubolon: Complete Characterization of the Solvability of PAPR Reduction for OFDM by Tone Reservation. 2017 IEEE International Symposium on Information Theory, IEEE, 2017 more… Full text ( DOI )
  • U.J. Mönich, H. Boche: A Two Channel System Approximation for Bandlimited Functions. IEEE Transactions on Information Theory 63 (9), 2017, 5496-5505 more… Full text ( DOI )
  • U.J. Mönich, H. Boche: Structure of Signals and Systems with Non-Convergent Sampling Representation. 11th International ITG Conference on Systems, Communications and Coding, 2017 more…

2016

  • H. Boche, U.J. Mönich: Signal and system spaces with non-convergent sampling representation. 24th European Signal Processing Conference (EUSIPCO 2016), 2016, 2131-2135 more…
  • H. Boche, U.J. Mönich, E. Tampubolon: Strong divergence of the Shannon sampling series for an infinite dimensional signal space. IEEE International Symposium on Information Theory, IEEE, 2016, 2878-2882 more…

2015

  • H. Boche, U.J. Mönich: Strong divergence for system approximations. Problems of Information Transmission 51 (3), 2015, 240-266 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Adaptive signal and system approximation and strong divergence. IEEE International Conference on Acoustics, Speech and Signal Processing, 2015, 3616-3620 more…
  • H. Boche, U.J. Mönich: A general approach for convergence analysis of adaptive sampling-based signal processing. 11th International Conference on Sampling Theory and Applications, 2015SampTA'15 more…
  • U.J. Mönich, H. Boche: A two channel approach for system approximation with general measurement functionals. IEEE International Conference on Acoustics, Speech and Signal Processing, IEEE, 2015, 3881-3885 more…
  • U.J. Mönich, K. Duffy, M. Medard, V. Cadambe, L.E. Alfonse, C. Grgicak: Probalistic characterisation of baseline noise in STR profiles. Forensic Science International: Genetics 19, 2015, 107-122 more… Full text ( DOI )

2014

  • H. Boche, U.J. Mönich: Signal and System Approximation from General Measurements. In: Zayed, A.I. and Schmeisser, G. (Ed.): New perspectives on Approximation and Sampling Theory: Applied and Numerical Harmonic Analysis. Springer International Publishing, 2014, 115-148 more…
  • H. Boche, U.J. Mönich: No-go theorem for sampling-based signal processing. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2014Florence, Italy, 56-60 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: System approximation with general measurement functionals. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2014Florence, Italy, 4180-4184 more… Full text (mediaTUM)
  • U.J. Mönich, C. Grgicak, V. Cadambe, J.Y. Wu, G. Wellner, K. Duffy, M. Medard: A signal model for forensic DNA mixtures. 2014 Asilomar Conference on Signals, Systems and Computers, 2014, 429-433 more…

2013

  • H. Boche, U.J. Mönich: On the Behavior of the Threshold Operator for Bandlimited Functions. Journal of Fourier Analysis and Applications (Volume 19, no. 1), 2013, 1-19 more… Full text ( DOI )
  • H. Boche, U.J. Mönich: Characterization of the peak value behavior of the Hilbert transform of bounded bandlimited signals. Problems of Information Transmission 49 (3), 2013, 197-223 more…
  • H. Boche, U.J. Mönich: Sampling and Reconstruction of Bandlimited BMO-Functions. 10th International Conference on Sampling Theory and Applications, 2013Bremen, Germany, 521-524 more…
  • H. Boche, U.J. Mönich: Characterization of the range of the Hilbert transform for bounded bandlimited signals and applications. IEEE International Conference on Acoustics, Speech and Signal Processing , 2013Vancouver, Canada , 5388-5391 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Characterization of the Pointwise and the Peak Value Behavior of System Approximation under Thresholding. IEEE 14th Workshop on Signal Processing Advances in Wireless Communications, 2013Darmstadt, Germany, 759-763 more… Full text (mediaTUM)
  • U.J. Mönich, H. Boche: The structure of bandlimited BMO-functions and applications. Journal of Functional Analysis 264 (12), 2013, 2637-2675 more…

2012

  • H. Boche, U.J. Mönich: On the Hilbert Transform of Bounded Bandlimited Signals. Problemy Peredachi Informatsii - Problems of Information Transmission 48 (3), 2012, 217-238 more…
  • H. Boche, U.J. Mönich: Towards a General Theory of Reconstruction of Bandlimited Signals from Sine Wave Crossing. Signal Processing 92 (3), 2012, 737-751 more…
  • H. Boche, U.J. Mönich: Unboundedness of thresholding and quantization for bandlimited signals. Signal Processing 92 (12), 2012, 2821-2829 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Extension of the Hilbert transform. IEEE International Conference on Acoustics, Speech and Signal Processing , 2012Kyoto, Japan , 3697-3700 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Solution of the peak value problem for Gabor's theory of communication. International Symposium on Signals, Systems, and Electronics , 2012Postdam, Germany , 1-6 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Complete characterization of bandlimited signals with bounded Hilbert transform. 20th European Signal Processing Conference , 2012Bucharest, Romania , 1895-1899 more… Full text (mediaTUM)

2011

  • H. Boche, U.J. Mönich: Sampling of Deterministic Signals and Systems. IEEE Transactions on Signal Processing 59 (5), 2011, 2101-2111 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Signal Reconstruction from Sine Wave Crossings. IEEE International Conference on Acoustics Speech and Signal Processing , 2011Prague, Czech Republic , 4196-4199 more… Full text (mediaTUM)

2010

  • H. Boche, U.J. Mönich: Convergence Behavior of Non-Equidistant Sampling Series. IEEE Transaction on Signal Processing (vol. 90, no. 1), 2010, 145-156 more…
  • H. Boche, U.J. Mönich: System Representations for the Zakai Class with Applications. IEEE Transactions on Information Theory 56 (8), 2010, 4129-4134 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Approximation of Wide-Sense Stationary Stochastic Processes by Shannon Sampling Series. IEEE Transactions on Information Theory 56 (12), 2010, 6459-6469 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Behavior of the Quanitzation Operator for Bandlimited, Nonoversampled Signals. IEEE Transactions on Information Theory 56 (5), 2010, 2433-2440 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: An Impossibility Result for Linear Signal Processing Under Thresholding. IEEE Transactions on Signal Processing 58 (3, Part 1), 2010, 1082-1094 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: Sampling-Type Representations of Signals and Systems. Sampling Theory in Signal and Image Processing 9 (1-3), 2010, 119-154 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: On the Realization of Band-Pass Type Systems for Bounded Bandlimited Signals. IEEE International Conference on Acoustics Speech and Signal Processing, 2010Dallas, TX, 3702-3705 more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich: On the Impact of Thresholding and Quantization on the Behavior of Bandlimited Systems and Signals. International ITG Conference on Source and Channel Coding , 2010Siegen, DE more… Full text (mediaTUM)
  • H. Boche, U.J. Mönich, A. Kortke, W. Keusgen: No-Go Theorem for Linear Systems on Bounded Bandlimited Signals. IEEE Transactions on Signal Processing 58 (11), 2010, 5639-5654 more… Full text (mediaTUM)
  • U.J. Mönich, H. Boche: Non-Equidistant Sampling for Bounded Bandlimited Signals. IEEE Transaction on Signal Processing (vol. 90, no. 7), 2010, 2212-2218 more…
  • U.J. Mönich, H. Boche: Distributional System Representations on Bandlimited Signals. IEEE Transactions on Signal Processing (09), 2010, 4557-4571 more… Full text (mediaTUM)
  • U.J. Mönich, H. Boche: Distributional Time-Domain System Representations. IEEE International Conference on Acoustics Speech and Signal Processing , 2010Dallas, TX , 3994-3997 more… Full text (mediaTUM)