In this paper, we propose a new hypothesis testing method for detectio
n of cisoids (complex sinusoids) from a single measurement of data, Th
e testing is performed on the least square error, The least square err
or is shown to exhibit chi(2) distribution, which leads to an efficien
t threshold setup for the proposed method, The new method is a combine
d detection-estimation technique and provides improved performance ove
r several existing techniques.