Optimal Design Of Multiple Orthogonal Pulses For UWB Radios

Today,people have entered the informational age.Ultra-wideband communication technology provides a new solution to the lack of spectrum resources,.Ultra-wideband pulse shape designing technology determines the utilization of spectrum mask,the transmission reliability of communication system and co-existence with narrowband communication systems.Different users use mutually orthogonal pulses can reduce interferences between multi-users and increase channel capacity.Therefore,it is important to design multi-orthogonal Ultra-wideband pulses that meet the requirements of the FCC spectral mask and maximize the power utilization efficiency.The main content of this paper is the designing of multi-orthogonal pulses based on the nonlinear finite impulse response(FIR)filter which linearly combine Gaussian series basic pulses.The mathematic model of maximizing the power utilization efficiency under the FCC spectral mask is similar to the designing of FIR digital filter without phase requirements,which is highly nonconvex and thus very hard to solve for its optimal solution.To overcome this difficulty,we use iterative constrained l1 elliptic error minimization method to solve it.The following contents are the main contribution and innovation in this paper:1.Aiming at the nonconvex mathematic model of maximizing the utilization of spectral mask under the FCC spectrum template is difficult to solve,this paper uses iterative constrained l1 elliptic error minimization method to solve this kind of nonconvex problem.The nonconvex problem is transformed into a series of convex subproblems.A new algorithm is proposed to design Ultra-wideband single pulse.This paper studies the impact of different basic pluses to the utilization of spectral mask.Simulation results show that Gaussian monocycle pulse and Gaussian second derivative function are much more suitable to design ultra-wideband single pulse.2.Designing of multi-orthogonal pulses avoide mutual interference in multi-user environment.The difference of designing ultra-wideband single pulse is adding pulses orthogonal conditions between pulses,which is also highly nonconvex and thus very hard to solve for its optimal solution.In chapter 4,a new algorithm is proposed to designe of UWB multi-orthogonal.In this paper,we have designed 15 multi-orthogonal UWB pulses respectively based on Gaussian monocycle and Gaussian second derivative.Design results show the efficiency of our proposed method.