Aiming at the detection problem caused by the maneuvering target under addtive and multiplicative color noise
the detector based on cyclic statistics is constructed
then the relation of detector versus SNR is concluded.The detector properties under various SNR are presented through analyzing the property of the complex LFM signal disturbed by both addtive and multiplicative color noise In the end
the character of the detector and preference is given through Monte-Carlo test in compare with the Wigner-Hough detector.