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Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

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756 CHAPTER 17 Advanced Processing Methods for Passive Bistatic <strong>Radar</strong> Systemsfor transmission <strong>of</strong> information, the waveforms <strong>of</strong> opportunity have an intrinsic randombehavior. This implies that very <strong>of</strong>ten their AFs have time-varying sidelobe structures alongboth bistatic range and Doppler. Moreover, these sidelobes exist at a level not greatly lowerthan the peak [3]. This can lead to the following:1. Strong clutter echoes masking targets with high Doppler frequencies2. A small fraction <strong>of</strong> the direct signal being received via the sidelobe/backlobe <strong>of</strong> thesurveillance antenna (still significantly larger than the clutter echo) that masks targetecho signals3. Strong target echoes masking other echoes from other targets <strong>of</strong> a lower level, even inthe presence <strong>of</strong> large range-Doppler separationsIn addition to using carefully designed waveforms, in active radar systems theseproblems are typically addressed either by applying tapering to the received signal tolower the sidelobes or by using MTI canceller filters to remove the strong stationaryclutter echoes. Unfortunately, neither <strong>of</strong> these can be directly applied to passive radar.The standard taper functions are typically effective in controlling sidelobes due to thesignal characteristics at the leading and trailing edges <strong>of</strong> the conventional radar pulsesthat have a well-known shape and can be modified by appropriate filtering. In contrast,the typical sidelobes <strong>of</strong> the waveforms <strong>of</strong> opportunity are due to fast amplitude and phasemodulations <strong>of</strong> the waveform spectrum related to the transmitted information content thatis obviously unknown and time varying. This makes it impossible to design filters for PBRthat are able to control the sidelobes to very low levels.Also, the masking effect due to the low peak sidelobe level <strong>of</strong> the AF cannot be removedusing conventional MTI techniques. A standard canceller is based on subtractingtwo or more consecutive echoes (with appropriate weights), with the idea that the ech<strong>of</strong>rom stationary targets in two consecutive echoes would be exactly the same and the differencewill cancel the undesired contributions from the stationary background. In passiveradar, two successive batches <strong>of</strong> the received signals are different even if they have beenreflected by the same stationary background, since the transmitted waveform changescontinuously.Hence, proper adaptive cancellation filters have been designed for this purpose [4, 29–34]. The goal <strong>of</strong> the cancellation stage is to remove as much as possible the undesiredinterference to extract the desired target signal from the surveillance signal observation.The complex envelope <strong>of</strong> the signal received at the surveillance channel can be written aswhereN T∑s surv (t) = A surv d(t) + a m d(t − τ Tm )e j2π f DmtN Sm=1∑+ c i d (t − τ ci ) + n surv (t) 0 ≤ t < T 0 (17.12)i=1T 0 = observation timed(t) = the complex envelope <strong>of</strong> the direct signal (a delayed replica <strong>of</strong> the transmittedsignal)A surv = the complex amplitude <strong>of</strong> the direct signal received via the sidelobe/backlobe<strong>of</strong> the surveillance antenna

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