Reconstruction of Wireless UWB Pulses by Exponential Sampling Filter

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DOI: 10.4236/wsn.2010.26057   PDF   HTML     4,101 Downloads   7,569 Views   Citations

Abstract

Measurement and reconstruction of wireless pulses is an important scheme in wireless ultra wide band (UWB) technology. In contrary to the band-limited analog signals, which can be recovered from evenly spaced samples, the reconstruction of the UWB pulses is a more demanding task. In this work we describe an exponential sampling filter (ESF) for measurement and reconstruction of UWB pulses. The ESF is constructed from parallel filters, which has exponentially descending impulse response. A pole cancellation filter was used to extract the amplitudes and time locations of the UWB pulses from sequentially measured samples of the ESF output. We show that the amplitudes and time locations of p sequential UWB pulses can be recovered from the measurement of at least 2p samples from the ESF output. For perfect reconstruction the number of parallel filters in ESP should be 2p. We study the robustness of the method against noise and discuss the applications of the method.

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J. Olkkonen and H. Olkkonen, "Reconstruction of Wireless UWB Pulses by Exponential Sampling Filter," Wireless Sensor Network, Vol. 2 No. 6, 2010, pp. 462-466. doi: 10.4236/wsn.2010.26057.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] J. Haupt and R. Nowak, “Signal Reconstruction from Noisy Random Projections,” IEEE Transactions Information Theory, Vol. 52, No. 9, 2006, pp. 4036-4048.
[2] Y. C. Eldar and M. Unser, “Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces,” IEEE Transactions Signal Processing, Vol. 54, No. 7, 2006, pp. 2636-2651.
[3] M. Unser, “Sampling-50 Years after Shannon,” Procee- dings of IEEE, Vol. 88, No. 4, 2000, pp. 569-587.
[4] P. Marziliano, “Sampling Innovations,” Ph.D. Dissertation, Communications laboratory, Lausanne, Switzerland, 2001.
[5] M. Vetterli, P. Marziliano and T. Blu, “Sampling Signals with Finite Rate of Innovation,” IEEE Transactions Signal Processing, Vol. 50, No. 6, 2002, pp. 1417-1428.
[6] I. Maravic and M. Vetterli, “Sampling and Reconstruc- tion of Signals with Finite Rate of Innovation in the Presence of Noise,” IEEE Transactions Signal Process- ing, Vol. 53, No. 8, 2005, pp. 2788-2805.
[7] P. Marziliano, M. Vetterli and T. Blu, “Sampling and Exact Reconstruction of Bandlimited Signals with Additive Shot Noise,” IEEE Transactions Information Theory, Vol. 52, No. 5, 2006, pp. 2230-2233.
[8] P. L. Dragotti, M. Vetterli and T. Blu, “Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix,” IEEE Transactions Signal Processing, Vol. 55, No. 5, 2007, pp. 1741-1757.
[9] I. Jovanovic and B. Beferull-Lozano, “Oversampled A/D Conversion and Error-Rate Dependence of Nonband Li- mited Signals with Finite Rate of Innovation,” IEEE Transactions Signal Processing, Vol. 54, No. 6, 2006, pp. 2140-2154.
[10] Y. P. Nakache and A. F. Molisch, “Spectral Shaping of UWB Signals for Time-Hopping Impulse Radio,” IEEE Journal of Selected Areas of Communications, Vol. 24, No. 4, 2006, pp. 738-744.
[11] B. Parr, B. Cho, K. Wallace and Z. Ding, “A Novel Ultra-Wideband Pulse Design Algorithm,” IEEE Commu- nications Letters, Vol. 7, No. 5, 2003, pp. 219-221.
[12] M. Miao and C. Nguyen, “On the Development of an Integrated CMOS-Based UWB Tunable-Pulse Transmit Module,” IEEE Transactions Microwave Theory and Techniques, Vol. 54, No. 10, 2006, pp. 3681-3687.
[13] V. E. Neagoe, “Inversion of the Van Der Monde Matrix,” IEEE Signal Processing Letters, Vol. 3, No. 4, 1996, pp. 119-120.
[14] E. Biglieri and K. Yao, “Some Properties of Singular Value Decomposition and their Applications to Digital Signal Processing,” Signal Processing, Vol. 18, No. 3, 1989, pp. 277-289.

  
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