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Title:
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The Gaussian assumption in second-order estimation problems in digital communications
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Author:
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Villares Piera, Nemesio Javier; Vázquez Grau, Gregorio
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
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Abstract:
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This paper deals with the goodness of the Gaussian assumption when designing second-order blind estimation
methods in the context of digital communications. The low- and
high-signal-to-noise ratio (SNR) asymptotic performance of the maximum likelihood estimator—derived assuming Gaussian
transmitted symbols—is compared with the performance of the optimal second-order estimator, which exploits the actual
distribution of the discrete constellation. The asymptotic study concludes that the Gaussian assumption leads to the optimal
second-order solution if the SNR is very low or if the symbols belong to a multilevel constellation such as quadrature-amplitude
modulation (QAM) or amplitude-phase-shift keying (APSK). On the other hand, the Gaussian assumption can yield important
losses at high SNR if the transmitted symbols are drawn from a constant modulus constellation such as phase-shift keying (PSK)or continuous-phase modulations (CPM). These conclusions are illustrated for the problem of direction-of-arrival (DOA) estimation of multiple digitally-modulated signals. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
-Digital communication
-Blind estimation methods
-Constant modulus
-Estimation bounds
-Non-data-aided
-Second-order techniques
-Self noise
-Digital communications systems
-Gaussian distribution
-Maximum likelihood estimation
-Phase modulation
-Phase shift keying
-Quadrature amplitude modulation
-Signal to noise ratio
-Blind source separation
-Continuous phase modulation
-Direction-of-arrival estimation
-Gaussian processes
-Quadrature amplitude modulation
-Digitally-modulated signals
-Direction-of-arrival estimation
-Amplitude-phase-shift keying
-Multilevel constellation
-Optimal second-order estimator
-Gaussian transmitted symbols
-Second-order blind estimation methods
-Digital communications
-Gaussian assumption
-Telecomunicació, Sistemes de |
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Rights:
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Document type:
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Article |
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Published by:
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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