By Awais Khawar, Ahmed Abdelhadi, Charles Clancy
This publication discusses spectrum sharing among mobile structures and radars. The publication addresses a singular technique to layout radar waveforms which could let spectrum sharing among radars and verbal exchange platforms, with no inflicting interference to verbal exchange platforms, and even as reaching radar targets of goal detection, estimation, and monitoring. The booklet features a MATLAB-based process, which gives reader with the way to research, test, evaluate, and construct on best of current algorithms.
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Additional info for MIMO Radar Waveform Design for Spectrum Sharing with Cellular Systems: A MATLAB Based Approach
Sample text
6) can be simplified as ∞ E sign(xˆ p )sign(xˆq ) = n=0 ∞ ρnxˆ p xˆq 2 e xˆ p Hn (xˆ p ) − Hn (−xˆ p ) d xˆ p 2 π2n n! 8) 0 Using Hn (−xˆ p ) = (−1)n Hn (xˆ p ) [52], Eq. 8) can be written as ∞ E sign(xˆ p )sign(xˆq ) = n=0 ∞ ρnxˆ p xˆq 2 e xˆ p Hn (xˆ p ) 1 − (−1)n d xˆ p 2 π2n n! 9) 0 The above equation is non-zero for odd n only, therefore, we can rewrite it as ∞ E sign(xˆ p )sign(xˆq ) = n=0 ∞ Then using 0 ∞ ρ2n+1 xˆ p xˆq 2 e xˆ p H2n+1 (xˆ p ) d xˆ p 2 π22n (2n + 1)! 10) 0 e xˆ p H2n+1 (xˆ p ) d xˆ p = (−1)n (2n)!
40), into the optimization problem. 39) A drawback of this approach is that it does not guarantee to generate constantenvelope radar waveform. However, the designed waveform is in the null space of the interference channel, thus, satisfying spectrum sharing constraints. The waveform generation process is shown using the block diagram of Fig. 1. Note that, K waveforms are designed, as we have K interference channels that are static. Using the projection matrix Pi , the NSP projected waveform can be obtained as opt opt Z˘ NSP = Zi PiH .
Although, Woodward ambiguity function has not been considered thus far to evaluate the performance of NSP BPSK/QPSK waveform but this can be done along the lines of [15–18]. , M = 10, with an inter-element spacing of half-wavelength. Each antenna transmits waveform with unit power and N = 100 symbols. We average the resulting beampattern over 100 Monte-Carlo trials of QPSK waveforms. At each run of Monte Carlo simulation we generate a Rayleigh interference channel with dimensions NBS × M, calculate its null space, and solve the optimization problem for stationary and moving maritime MIMO radar.