Title :
Detection of cisoids using least square error function
Author :
Cheng, Qi ; Hua, Yingbo
Author_Institution :
Dept. of Electr. Eng., Melbourne Univ., Parkville, Vic., Australia
fDate :
6/1/1997 12:00:00 AM
Abstract :
In this paper, we propose a new hypothesis testing method for detection of cisoids (complex sinusoids) from a single measurement of data. The testing is performed on the least square error. The least square error is shown to exhibit χ 2 distribution, which leads to an efficient threshold setup for the proposed method. The new method is a combined detection-estimation technique and provides improved performance over several existing techniques
Keywords :
Hankel matrices; least squares approximations; parameter estimation; signal detection; signal reconstruction; statistical analysis; Hankel data matrix; cisoids detection; complex sinusoids; detection-estimation technique; hypothesis testing method; least square error; least square error function; performance; signal reconstruction; single data measurement; threshold setup; Array signal processing; Image retrieval; Image sensors; Information retrieval; Least squares approximation; Least squares methods; Magnetic sensors; Performance evaluation; Sensor arrays; Testing;
Journal_Title :
Signal Processing, IEEE Transactions on
