Pulseshaping in UWB Systems Using Semidefinite Programming with Non-Constant Upper Bounds

A critical obstacle for ultra wideband (UWB) communications is conformity to restrictions set on the allowed interference with other wireless devices. Using trains of N amplitude modulated basic pulses gives an FIR filter like design when disregarding the power spectral density (PSD) of the basic pulse. These leads to implementation losses and should be avoided. We quantify these losses and introduce an FIR filter design using semidefinite programming which can incorporate the basic pulse PSD by introducing non-constant upper bounds in the design. This leads to optimal designs and increases available signal power at no extra implementation complexity, just by choosing more optimal filter coefficients