Ultra-wideband orthogonal pulse shape set design by using Hermite-Gaussian functions
Date
2012Source Title
2012 20th Signal Processing and Communications Applications Conference (SIU)
Publisher
IEEE
Language
Turkish
Type
Conference PaperItem Usage Stats
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Abstract
Ultra-Wideband (UWB) communication systems have been developed for short distance, high data rate communications. To avoid interfering with the existing systems in the same environment, very short duration pulses used by these systems should satisfy a predefined spectral mask. Data rate of UWB systems can be increased by using multiple pulse shapes simultaneously. Orthogonality of the simultaneously used pulse shapes simplifies the receiver design. In this work, design of orthogonal pulse shapes which satisfy the spectral mask is modelled as an optimization problem. First, it is converted to a convex optimization problem by constraining the pulse shapes to lie in a subspace spanned by the Hermite-Gaussian (HG) functions. Then the optimal solution is obtained. It is shown that a larger pulse shape set can be designed compared to the existing approaches, and hence, a higher data rate can be achieved. © 2012 IEEE.
Keywords
Convex optimization problemsData rates
Existing systems
Hermite-Gaussian function
High data rate communications
Multiple pulse
Optimal solutions
Optimization problems
Orthogonal pulse
Orthogonality
Pulse shapes
Receiver design
Short distances
Short duration pulse
Spectral masks
Ultra wideband communication systems
UWB system
Broadband networks
Convex optimization
Design
Signal processing
Telecommunication systems
Ultra-wideband (UWB)