Aerospace and Electronic Systems Magazine January 2018 - 36

Focus-Before-Detection: Part II

Figure 2.

The framework for fast implementation of FBD. Abbreviations are CZT: Chirp-Z transform, KT: Keystone transform, GKTGDP: generalized KT and
generalized de-chirp processing, DPT: discrete polynomial-phase transform, ACCF: adjacent cross correlation function.

(CZT) [11], Keystone transform (KT)
[17, 18], nonuniform fast Fourier transform (NUFFT) [19], and other methods
[20-24] can be introduced. In this regard, the FFT-based CZT has been proposed in [11] to speed up RFT and its
computational amount can be approximately reduced to the level of moving
target detection (MTD) and the high
SNR gain can be still obtained. Also,
a generalized KT and a generalized
de-chirp (GKTGDP) algorithms have
been proposed in [18] to speed up the
implementation of GRFT with highorder motion compensation. Besides,
different from the search strategy, a
nonsearch method, i.e., estimating
parameters based on direct calculaFigure 3.
tions, has been proposed in [20] based
The conventional radar signal processing framework.
on adjacent cross correlation function
(ACCF). ACCF can therefore reduce
are the true initial range and radial velocity of a target, respectively,
λf
the computational complexity while it sacrifices the detection perinteger k (k ≠ 0) means k multiples of the blind speed vb = P ,
formance especially in a low SNR scenario [20]. Although there
2
have been many studies in the fast implementation, how to optiand λ and fP are wavelength and pulse repetition frequency (PRF),
mally deal with the tradeoff between complexity and performance
respectively. Due to the distribution closely related to blind speed,
is still desired in this field.
RFT outputs around ( r0 , vk ) are named "blind-speed sidelobes
(BSSL)" in [10] and they should be suppressed as low as possible
because they will cause the false alarms or cover a weak target in a
BSSL SUPPRESSING
multiple target scenario.
From the definition of RFT as (2) in [1, 10], it is known that
It has been found in the range-velocity r - v plane of the RFT as
a peak of RFT is generated by the coherent integration along the
Figure 3 that there are some unwanted responses, which are disslow-time t varying range migration (RM) curve rs = r0 + v0t with
tributed around the coordinate ( r0 , vk = v0 + kvb ), where r0 and v0
36

IEEE A&E SYSTEMS MAGAZINE

JANUARY 2018



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