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This paper proposes a novel time-frequency tiling based detector for detection of nonlinear frequency modulated (NLFM) signal or polynomial phase signal (PPS). The method exploits the time-frequency tiling property of adaptive wavelet transform, and is practically realizable. In the paper, the unitary and linear phase wavelet basis function together with joint one order linear approaching procedure is presented to estimate the signals trace line in time-frequency plane. Additionally, the Radon-Wigner (RWT) transform is exploited in subband outputs of time- frequency tiling to achieve low computational complexity implementation. Simulation results confirm the efficacy of the method.