Title :
On the CRB for frequency estimation of superimposed multidimensional sinusoids
Author_Institution :
Defence Sci. & Technol. Organ., Edinburgh, SA, Australia
fDate :
June 29 2014-July 2 2014
Abstract :
The Cramér-Rao bound (CRB) is derived for frequency estimation of the superposition of multidimensional complex sinusoids assuming the complex gains are known. The Fisher information matrix is derived in terms of the Dirichlet kernel, a kernel well-known for its use in Fourier series. In general, it is shown that the frequency estimation error variance for a particular sinusoid can be lower bounded by its isolated (single) multidimensional sinusoid CRB times a scaling factor that is dependent on its frequency separation from each sinusoid.
Keywords :
Fourier series; frequency estimation; matrix algebra; CRB; Cramér-Rao bound; Dirichlet kernel; Fisher information matrix; Fourier series; frequency estimation error variance; frequency separation; multidimensional complex sinusoids; scaling factor; superimposed multidimensional sinusoids; Estimation error; Frequency estimation; Kernel; Maximum likelihood estimation; Nickel; OFDM;
Conference_Titel :
Statistical Signal Processing (SSP), 2014 IEEE Workshop on
Conference_Location :
Gold Coast, VIC
DOI :
10.1109/SSP.2014.6884584
