TY - GEN

T1 - Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method

AU - Kandeepan, Sithamparanathan

AU - Reisenfeld, Sam

PY - 2005

Y1 - 2005

N2 - A statistical analysis of the single-delay multiplication based frequency estimator is treated here. The single-delay multiplication frequency estimator for complex single sinusoid signals is a phase averaged estimator, which is similar to the Kay's estimator. Here we provide a study on the statistical distribution of the frequency estimates made by the estimator, and verify the analytical results using simulations. It is shown that the analytical results hold true even at very low signal to noise ratio levels. In deriving the probability density function of the frequency estimates, we explore the cross product noise terms resulting due to the multiplication operation of the estimator by making valid assumptions.

AB - A statistical analysis of the single-delay multiplication based frequency estimator is treated here. The single-delay multiplication frequency estimator for complex single sinusoid signals is a phase averaged estimator, which is similar to the Kay's estimator. Here we provide a study on the statistical distribution of the frequency estimates made by the estimator, and verify the analytical results using simulations. It is shown that the analytical results hold true even at very low signal to noise ratio levels. In deriving the probability density function of the frequency estimates, we explore the cross product noise terms resulting due to the multiplication operation of the estimator by making valid assumptions.

UR - http://www.scopus.com/inward/record.url?scp=33749446057&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2005.1523583

DO - 10.1109/ISIT.2005.1523583

M3 - Conference contribution

SN - 0780391519

SN - 9780780391512

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1451

EP - 1454

BT - Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05

T2 - 2005 IEEE International Symposium on Information Theory, ISIT 05

Y2 - 4 September 2005 through 9 September 2005

ER -