Design of UWB pulses based on B-splines

Energy detection based blind synchronization for pulse shape modulated IR-UWB systems

“…In all ensuing simulations, we have used specially designed orthogonal UWB pulses {1f!i (t)} �o 1 with duration T,p = 1.28 ns formed by a linear combination of B splines along with genetic algorithm based optimization [13]. These pulses satisfy simultaneously the requisites of orthog onality, compatibility with FCC mask and spectral efficiency (which is up to 90% in our case).…”

A GA-based UWB pulse waveform design method

“…, can be obtained subsequently from the formula (5). A circuit that generates the required B-splines [11] is shown in Fig. 1.…”

“…Moreover, its required sampling rate is too high to implement in practical. Paper [11] uses a weighted B-spline design method, then a Lagrange factor optimization is used to solve it. For the limitation of numerical optimization way, it cannot achieve high spectrum utilization efficiency.…”

“…Reference [10] 39 L = 1, sampling rate 64.0 GHz Reference [11] 60.48 L = 11, sampling rate 16.7 GHz Reference [25] 83.77 L = 33, sampling rate 25.0 GHz Our method 95.22 L = 6, sampling rate 25.0 GHz Paper [25] uses the Gaussian function as the basis function to generate the UWB impulse, so it requires a lot of basis functions and the circuits are relative complex. In comparison with our method, the rectangle waveform is easier to be generated than Gaussian functions; on the other hand, the circuits of our method have less units than the method in paper [25].…”

“…Another fundamental method is to modulate the sinusoid waveform using the window function such as Gaussian window and squared raised Cosine window. Recently several methods that satisfy the FCC mask have been proposed [9,10], which are more practical for implementation [11]. Besides this, other UWB waveform design methods were proposed in some literatures.…”