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Exact(3)
This model is solved exactly by using the ambiguity function.
Using the ambiguity function based on the matched filters [3, 9], the Range-Doppler targets and clutter are detectable.
where ( hat {f}_{{ij}} ), ( hat {tau }_{{ij}} ) and ( hat {A}_{{ij}} ) are the the Doppler frequency, delay and amplitude of unregarded weak targets which appeared in the (j−1 th stage and detected using the ambiguity function of (s_{text {sur}}^{j-1}(t)).
Similar(57)
Similarly, we collect N+R samples of the signal at the reference channel in a (N+R)×1 vector s ref. We use the ambiguity function for evaluation of the interference cancellation algorithms and target detection.
The third method is based on a decision theoretic pattern recognition which uses the SVD and the ambiguity function as features for the classification [60].
Among all the possibilities given by this kernel, we used a function whose isocontours are, in the ambiguity function domain, ellipses with major and minor axes along τ and ν[24].
The ambiguity function which is usually used to analyze the radar performance within Doppler shift and time delay is defined in [32]: (19).
The spectrogram is the WVD smoothed in time and frequency by the ambiguity function of the window used in the STFT [4]; and all the quadratic TFDs (QTFD) are 2D-smoothed versions of the WVD (and therefore of the spectrogram which is the square modulus of the STFT).
For illustrating the modified SCB method equipped with CLEAN technique, Fig. 9 a shows the 2-D ambiguity function output of received signal after removing the direct signal and all the clutters by the SCB algorithm, and the strongest target using the observation algorithm (consider that Fig. 9 presents the ambiguity function of (s_{text {sur}}^{1}(t))).
To enable the optimization of these waveforms under the large Doppler scenario using simulated annealing, cost functions have been presented based on the ambiguity function as well as the hit-matrix.
The second one considers the ambiguity function [11], while the proposed algorithm in [12] uses the instantaneous frequency of the received signal.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com