2011
DOI: 10.1109/twc.2011.072511.101844
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Range Estimation in Multicarrier Systems in the Presence of Interference: Performance Limits and Optimal Signal Design

Abstract: Abstract-Theoretical limits on time-of-arrival (equivalently, range) estimation are derived for multicarrier systems in the presence of interference. Specifically, closed-form expressions are obtained for Cramer-Rao bounds (CRBs) in various scenarios. In addition, based on CRB expressions, an optimal power allocation (or, spectrum shaping) strategy is proposed. This strategy considers the constraints not only from the sensed interference level but also from the regulatory emission mask. Numerical results are p… Show more

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Cited by 22 publications
(24 citation statements)
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“…Proof: Optimization problems in the form of (17) have been studied in the OFDM and MIMO literature; e.g., [39] and [40]. The expression in (18) can be derived in a similar fashion to the derivation in [39]. First, it is observed that the elements of w defined in the proposition are all positive, which is based on the definitions of a i and r i in (10) and (15), respectively.…”
Section: ) Optimal Power Allocation Based On Average Crlbmentioning
confidence: 99%
“…Proof: Optimization problems in the form of (17) have been studied in the OFDM and MIMO literature; e.g., [39] and [40]. The expression in (18) can be derived in a similar fashion to the derivation in [39]. First, it is observed that the elements of w defined in the proposition are all positive, which is based on the definitions of a i and r i in (10) and (15), respectively.…”
Section: ) Optimal Power Allocation Based On Average Crlbmentioning
confidence: 99%
“…A large gap is observed between our fine timing estimator and the CRB. An ML estimator as in [9] would have achieved the CRB at large SNR values at the expenses of complexity. It is also important to note that the proposed algorithm uses six PRS OFDM symbols within a subframe, even though eight PRS OFDM symbols are available.…”
Section: B Simulation Resultsmentioning
confidence: 99%
“…Assuming that the subcarrier spacing ߂݂=1/T is smaller than the channel coherence bandwidth, so that each subcarrier experiences a flat frequency domain channel, the received baseband signal in the case of absence of interference can be modeled as [9]: …”
Section: Appendix: Crb Derivationmentioning
confidence: 99%
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“…In Section 4.4.3, CRBs are derived for TOA estimation in systems that employ an OFDM type signal in the presence of interference [28,63]. Here we show how these results can be exploited to design the optimal waveform shape that minimizes the CRB given a sensed interference spectrum and power spectral emission constraints.…”
Section: Cognitive Toa Estimationmentioning
confidence: 99%