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A performance lower bound for quadratic timing recovery accounting for the symbol transition density
Riba Sagarra, Jaume
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
The symbol transition density in a digitally modulated signal affects the performance of practical synchronization schemes designed for timing recovery. This paper focuses on the derivation of simple performance limits for the estimation of the time delay of a noisy linearly modulated signal in the presence of various degrees of symbol correlation produced by the various transition densities in the symbol streams. The paper develops high- and low-signal-to-noise ratio (SNR) approximations of the so-called (Gaussian) unconditional Cramér–Rao bound (UCRB), as well as general expressions that are applicable in all ranges of SNR. The derived bounds are valid only for the class of quadratic, non-data-aided (NDA) timing recovery schemes. To illustrate the validity of the derived bounds, they are compared with the actual performance achieved by some well-known quadratic NDA timing recovery schemes. The impact of the symbol transition density on the classical threshold effect present in NDA timing recovery schemes is also analyzed. Previous work on performance bounds for timing recovery from various authors is generalized and unified in this contribution.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
Telecommunication systems
Signal processing -- Digital techniques
Bandlimited communication
Correlation methods
Delay estimation
Gaussian processes
Modulation
Practical synchronization scheme
CML
Cramér-Rao bound
CRB
Maximum likelihood estimation
Symbol transition density
Quadratic timing recovery
UML
Noisy linearly modulated signal
SNR
Signal-to-noise ratio approximation
Nondata-aided timing recovery
Bandlimited channels
Digitally modulated signal
Unconditional Cramer-Rao bound
Sistemes de telecomunicació
Processament del senyal -- Tècniques digitals
Artículo
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
         

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