Design of multiple orthogonal pulses for UWB radios using an iterative convex constrained l1 minimization method

Considering the limitation of the U.S Federal Communications Commission (FCC)'s spectral masks and the coexistence with other wireless services, design of the pulse shape is vital to ultra-wideband (UWB) radios. Based on the classical Gaussian monocycle pulse which poorly fits the FCC spectral mask, this paper uses a digital finite impulse response (FIR) filter to synthesize a set of orthogonal pulses. The pulse design problem is then converted into the design of the FIR filter, which is highly nonconvex and thus hard to solve for its optimal solution. This paper extends the iterative constrained l
_p
elliptic error minimization method for a single pulse design to the case of multiple orthogonal pulses design by incorporating with the orthogonality conditions in the design. Examples are provided to demonstrate the effectiveness of the proposed method and to compare with existing methods in the literature. Results show that the proposed method has obtained higher spectrum utilization efficiencies for almost all the designed orthogonal waveforms.