Closed-form expressions of the exact Cramer-Rao, bound for parameter estimation of BPSK, MSK, or QPSK waveforms
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| Title: | Closed-form expressions of the exact Cramer-Rao, bound for parameter estimation of BPSK, MSK, or QPSK waveforms |
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| Authors: | Delmas, Jean-Pierre |
| Contributors: | Traitement de l'Information Pour Images et Communications (TIPIC-SAMOVAR), Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux (SAMOVAR), Institut Mines-Télécom Paris (IMT)-Télécom SudParis (TSP)-Institut Mines-Télécom Paris (IMT)-Télécom SudParis (TSP), Communications, Images et Traitement de l'Information (TSP - CITI), Institut Mines-Télécom Paris (IMT)-Télécom SudParis (TSP), Centre National de la Recherche Scientifique (CNRS) |
| Source: | ISSN: 1070-9908 ; IEEE Signal Processing Letters ; https://hal.science/hal-01298715 ; IEEE Signal Processing Letters, 2008, 15, pp.405 - 408. ⟨10.1109/LSP.2008.921477⟩. |
| Publisher Information: | HAL CCSD Institute of Electrical and Electronics Engineers |
| Publication Year: | 2008 |
| Collection: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| Subject Terms: | BPSK (binary phase shift keying), QPSK (quaternary phase shift keying), Minimum shift keying (MSK), Modified Cramer Rao bound, Stochastic Cramer Rao bound, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing |
| Description: | International audience ; This letter addresses the stochastic CramerRao bound (CRB) pertaining to the joint estimation of the carrier frequency offset, the carrier phase and the noise and signal powers of binary phase- shift keying (BPSK), minimum shift keying (MSK), and quaternary phase-shift keying (QPSK) modulated signals corrupted by additive white circular Gaussian noise. Because the associated models are governed by simple Gaussian mixture distributions, an explicit expression of the Fisher information matrix is given and an explicit expression for the stochastic CRB of these four parameters are deduced. Specialized expressions for low and high SNR are presented as well. Finally, these expressions are related to the modified CRB and our proposed analytical expressions are numerically compared with the approximate expressions previously given in the literature |
| Document Type: | article in journal/newspaper |
| Language: | English |
| Relation: | hal-01298715; https://hal.science/hal-01298715; https://hal.science/hal-01298715v2/document; https://hal.science/hal-01298715v2/file/r2008.pdf |
| DOI: | 10.1109/LSP.2008.921477 |
| Availability: | https://hal.science/hal-01298715 https://hal.science/hal-01298715v2/document https://hal.science/hal-01298715v2/file/r2008.pdf https://doi.org/10.1109/LSP.2008.921477 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| Accession Number: | edsbas.94E7FF75 |
| Database: | BASE |
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