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Pulse Shape Design for Ultra-Wideband Radios Using Projections onto Convex Sets  

Lee, Seo-Young (Department of Information and Communication Engineering, Sunmoon University)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.33, no.3A, 2008 , pp. 311-318 More about this Journal
Abstract
We propose new pulse shapes for FCC-compliant ultra-wideband (UWB) radios. The projections onto convex sets (POCS) technique is used to optimize temporal and spectral shapes of UWB pulses under the constraints of all of the desired UWB signal properties: efficient spectral utilization under the FCC spectral mask, time-limitedness, and good autocorrelation. Simulation results show that for all values of the pulse duration, the new pulse shapes not only meet the FCC spectral mask most efficiently, but also have nearly the same autocorrelation functions. It is also observed that our truncated (i.e., strictly time-limited) pulse shapes outperform the truncated Gaussian monocycle in the BER performance of binary TH-PPM systems for the same pulse durations. The POCS technique provides an effective method for designing UWB pulse shapes in terms of its inherent design flexibility and joint optimization capability.
Keywords
Ultra-wideband (UWB); Impulse radio; Pulse design algorithm; Projections onto convex sets (POCS);
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