Research

• Signal Processing for Ultra Wideband Impulse Radio (UWB-IR) Systems
• Compressed Sensing on Generalized Sparsity Models
• Communication Designs for time-continuous channels.

 From 01.06.2015 until 31.08.2015 I am Guest scientist of Prof. Giuseppe Caire at the TU Berlin.

Teaching

• SS15: Compressive Sampling
• WS14/15: Compressive Sampling
• SS14: Fortgeschrittene Signaltheorie und Compressed Sensing
• SS13: Fortgeschrittene Signaltheorie
• WS11/12: Schätztheorie und Compressed Sensing
• SS12: Schätztheorie und Compressed Sensing

For interests in master thesis on Compressed Sensing please contact me.

DFG Projects

• 2007-2009: Strategies for Highly Efficient UWB Impulse Radio Systems Architectures (UltraEfficiency)
• 2009-2011: UWB for Wireless Sensor Networks: Cross-Layer Optimization (UWB4WSN)
• 2011-2015: Communications in Interference Limited Networks (COIN): User Centric Interference Management in Wireless Networks (UCIMa)
• 2015-2017: Structured Signal Models in Compressed Sensing

Publications

Conference Proceedings

• Phaseless Pilots for OFDM, H. Becker, P. Jung, and P. Walk, ISWCS, Brussels, Belgium, August 2015, accepted.
• Stable Recovery from the Magnitude of Symmetrized Fourier Measurements, P. Walk and P. Jung, ICASSP, Florence, Italy, pp. 1813 - 1816, May 2014, preprint arxiv.org.
• On a Reverse $\ell_2$--inequality for Sparse Circular Convolutions, P. Walk and P. Jung, ICASSP, Vancouver, Canada, pp. 4638 - 4642, May 2013.
• Compressed Sensing on Images of Bilinear Maps, P. Walk and P. Jung, ISIT, Boston, USA, pp. 1291-1295, Juli. 2012, preprint arxiv.org.
• Löwdin Transform on FCC Optimized UWB Pulses, P. Walk, P. Jung, and J. Timmermann, WCNC , Sydney, Australia, Apr. 2010.
• Löwdin's Approach for Orthogonal Pulses for UWB Impulse Radio, P. Walk, P. Jung, and J. Timmermann, IEEE Workshop on Signal Processing Advances in Wireless Communications (SPAWC2010), 2010.
• Application of Optimal Pulse Design in Non-ideal Ultra-wideband Transmission, J. Timmermann, A. A. Rashidi, P. Walk, E. Pancera, and T. Zwick, Proceedings of German Microwave Conference, Munich, Germany, Mar. 2009.
• Bit error rate of a non-ideal impulse radio system, J. Timmermann, E. Pancera, P. Walk, W. Wiesbeck, and T. Zwick, Proceedings of European Electromagnetics Symposium, Lausanne, Switzerland, July 2008.

Journal Paper

• On the Stability of Sparse Convolutions, P. Walk, P. Jung, and G.E. Pfander, submitted to Applied and Computational Harmonic Analysis, preprint arxiv.org.
• Approximation of Löwdin Orthogonalization to a Spectrally Efficient Orthogonal Overlapping PPM Design for UWB Impulse Radio, Walk, P. and Jung, P. , EURASIP Journal on Applied Signal Processing, vol. 92,no. 3, pp. 649–666, Mar 2012, preprint arxiv.org.
• Compensation of a Non-ideal UWB Antenna Performance Frequenz Timmermann, J.; Walk, P.; Rashidi, A. A.; Wiesbeck, W. & Zwick, T., Frequenz, vol. 63, pp. 183-186, 2009.

Book Chapters

• Compressed Sensing and its Applications: Sparse Model Uncertainties in Compressed Sensing with Application to Convolutions and Sporadic Communication, P. Jung; P. Walk, Springer, Chapter 10, pp. 283-313, 2015, preprint arxiv.org.
• Ultra-Wideband, Short Pulse Electromagnetics 9: Bit Error Rate of a Non-Ideal Impulse Radio System, J. Timmerman; E. Pancera; P. Walk; W. Wiesbeck; T. Zwick; Springer, Part 8, pp. 457-464, 2010, DOI: 10.1007/978-0-387-77845-7_53

Thesis

• Analysis of Convolutions with Support Restrictions, P. Walk, TU München, pp. 96, May 2014