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However, the higher order power modulus also inhibits the smaller signals when the detected signal consists of multicomponent LFM-signal with different amplitudes.
It is obvious that the peak value over noise floor in Figure 5 is higher than that in Figure 4. Then the conclusion can be drawn that the peaks are easier to pick in the noise floor as the order number of power modulus increases.
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Figure 2 The detection output of single-component LFM-signal using 4th-power modulus form.
Figure 3 The detection output of multicomponent LFM-signal using 4th-power modulus form.
An interesting phenomena, that the effective detector is not only limited to the integration of the 4th-power modulus of the fractional Fourier transform, but can also be generalized to n th-power modulus for, is found in our simulation.
Figure 5 The detection output of multicomponent LFM-signal with SNR = −6 dB using the 5th-power modulus form.
Figure 4 The detection output of multicomponent LFM-signal with SNR = −6 dB using the 3rd-power modulus form.
A new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed.
This paper presents a new detector of LFM-signal, which is the integration of the 4th-power modulus of its fractional Fourier transform.
The two simulations above have verified the effectiveness of the proposed detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform.
Figures 4 and 5 show the detection outputs of the 3rd and 5th-power modulus detectors with SNR equaling to −6 dB, respectively.
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