A New LFM-Signal Detector Based on Fractional Fourier Transform

@article{Yin2010ANL,
  title={A New LFM-Signal Detector Based on Fractional Fourier Transform},
  author={Zhiping Yin and Weidong Chen},
  journal={EURASIP Journal on Advances in Signal Processing},
  year={2010},
  volume={2010},
  pages={1-7}
}
A new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed. It has similar performance to the modulus square detector of Radon-ambiguity transform because of the equivalence relationship between them. But the new detector has much lower computational complexity in the case that the number of the searching angles is far less than the length of the signal. Moreover, it is proved that the new detector can be generalized to the… 

Figures from this paper

Parameter estimation for linear FM signal
A new method is introduced for parameter estimation of linear frequency modulated (LFM) signals, which consists of a coarse search and a fine search. In the initial stage, the window length for short
Time Reversal and Fractional Fourier Transform-Based Method for LFM Signal Detection in Underwater Multi-Path Channel
Fractional Fourier transform (FrFT) is a useful tool to detect linear frequency modulated (LFM) signal. However, the detection performance of the FrFT-based method will deteriorate drastically in
Automatic Detection and Suppression of Parasitic Chirp Signals in the Intermediate Time–Frequency Domain
TLDR
The problem of automatic parasitic chirp components detection and suppression in a digital signal is considered and the main novelty is the utilization of new construction of discrete fractional Fourier transform coordinated with the discrete Wigner distribution.
Automatic Intrapulse Modulation Classification of Advanced LPI Radar Waveforms
TLDR
Improved signal processing techniques are developed for the analysis and classification of low probability of intercept (LPI) radar waveforms and the proposed algorithm outperforms the existing techniques of classification and can be used under strategic environment.
Time-Frequency Localization for the Fractional Fourier Transform in Signal Processing and Uncertainty Principles
TLDR
The compression of sound signal in FrFT domain is shown and the qualitative and quantitative uncertainty principles for the FrFT are proved to prove.
Passive direct positioning of emitters with unknown LFM signals based on FRFT
TLDR
Simulation results show that the proposed algorithm outperforms the DPD method which ignores the transmitted signals and the utilization of FRFT and some basic classification algorithm.
Modulation Characteristics Analysis of the LPI Radar Pulses under non-Cooperative Estimation
TLDR
The improved algorithm analyzes the impact of chirp rate on selection of the data segment length and attains high detection performance by proposing a limiting condition and it has been concluded through simulations that if the proposed limiting condition on chosen data segments length and signal’s bandwidth is satisfied, high probability of modulation recognition is achieved.
Boosting SNR for Passive detection of Weak Radar Pulses under non-Cooperative Environment
TLDR
A detection technique for enhancing the SNR of a weak radar pulse by investigating the relation between the monitoring bandwidth, the signal bandwidth and the frequency resolution among simultaneously intercepted multiple radar pulses and explores the multi-rate poly phase filtering architecture.
A new approach to medical image stitching using minimum average correlation energy filter and peak to side‐lobe ratio
TLDR
A new medical image stitching method that uses minimum average correlation energy filters to identify and merge pairs of X‐ray medical images that outperforms the NCC method in identifying both the overlapping and nonoverlapping medical images.
...
...

References

SHOWING 1-10 OF 20 REFERENCES
Detection and parameter estimation of multicomponent LFM signal based on the fractional fourier transform
TLDR
A signal separation technique in the fractional Fourier domain is proposed which can effectively suppress the interferences on the detection of the weak components brought by the stronger components.
Digital Computation of Fractional Fourier Transform
  • Zhou Min
  • Engineering, Computer Science
  • 2002
TLDR
Simulation results indicate that the energy of LFM signal will be collected effectively when the fractional order is matching with its modulation slope and in weak signals detection of underwater acoustic domain, the authors can get high anti-Doppler performance using the Fractional fourier transform algorithm.
Linear frequency-modulated signal detection using Radon-ambiguity transform
TLDR
A novel time-frequency technique for linear frequency modulated (LFM) signal detection that reduces the computation load and keeps the feature of "built-in" filtering, as well as the time-varying filtering and adaptive kernel design for multicomponent LFM signals.
Signal reconstruction from two close fractional Fourier power spectra
TLDR
It is shown that the proposed method works well for signal-to-noise ratios (SNRs) higher than about 3 dB and can be applied for phase retrieval in optics, where only the fractional power spectra associated with intensity distributions can be easily measured.
Discrete fractional Fourier transform based on orthogonal projections
TLDR
The proposed DFRFT has DFT Hermite eigenvectors and retains the eigenvalue-eigenfunction relation as a continous FRFT and will provide similar transform and rotational properties as those of continuous fractional Fourier transforms.
The fractional Fourier transform and time-frequency representations
TLDR
The authors briefly introduce the functional Fourier transform and a number of its properties and present some new results: the interpretation as a rotation in the time-frequency plane, and the FRFT's relationships with time- frequencies such as the Wigner distribution, the ambiguity function, the short-time Fouriertransform and the spectrogram.
Chirp filtering in the fractional Fourier domain.
TLDR
Experimental filtering results for a Gaussian input function, which is modulated by an additive chirp noise, are shown and excellent agreement between experiments and computer simulations is achieved.
Discrete chirp-Fourier transform and its application to chirp rate estimation
  • X. Xia
  • Physics
    IEEE Trans. Signal Process.
  • 2000
TLDR
An upper bound for the number of the detectable chirp components using the DCFT is provided in terms of signal length and signal and noise powers, and it is shown that the N-point DCFT performs optimally when N is a prime.
Fractional convolution and correlation via operator methods and an application to detection of linear FM signals
TLDR
This work derives explicit definitions of fractional convolution and correlation operations in a systematic and comprehensive manner and provides alternative formulations of those fractional operations that suggest efficient algorithms for discrete implementation.
On the multiangle centered discrete fractional Fourier transform
TLDR
This letter defines a DFRFT based on a centered version of the DFT (CDFRFT) using eigenvectors derived from the Gru/spl uml/nbaum tridiagonal commutor that serve as excellent discrete approximations to the Hermite-Gauss functions.
...
...