DFT model errors for finite length observations with spatially distributed sensors

The use of sensor systems, with multiple, spatially separated receivers, is ever growing. it is assumed that the propagation delays, from transmitter to receivers, are translated to phase expressions in the frequency domain. We investigate this property and demonstrate the addition of an edge effect. We use signal-to-interference ratio (SIR) notation to quantify this effect and analyze its influence. We demonstrate our work by estimating the influence of the edge effect on localization accuracy of direct position determination (DPD) method using small error analysis, compared with Monte-Carlo simulations. To conclude our work we discuss some ways of mitigating the error hereby introduced.