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The Gaussian assumption in second-order estimation problems in digital communications
Villares Piera, Nemesio J.; Vázquez Grau, Gregorio
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
This paper deals with the goodness of the Gaussian assumption when designing second-order blind estimationmethods in the context of digital communications. The low- andhigh-signal-to-noise ratio (SNR) asymptotic performance of the maximum likelihood estimator—derived assuming Gaussiantransmitted symbols—is compared with the performance of the optimal second-order estimator, which exploits the actualdistribution of the discrete constellation. The asymptotic study concludes that the Gaussian assumption leads to the optimalsecond-order solution if the SNR is very low or if the symbols belong to a multilevel constellation such as quadrature-amplitudemodulation (QAM) or amplitude-phase-shift keying (APSK). On the other hand, the Gaussian assumption can yield importantlosses 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.
Peer Reviewed
2012-05-10
Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::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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