# Improved MUSIC Method against Range Dimension Deceptive Jamming Based on FDA-MIMO  
[PERSON]  
1 Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China 1, [PERSON]  
1 Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China 1, [PERSON]  
1 Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China 1, [PERSON]  
1 Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China 1,  
the carrier frequency, the transmitted beam of the FDA has a range-angle that is dimension dependent [9, 10]. By combining the FDA with the MIMO radar, it is possible to aggregate information from the transmitter side to the receiver side and to be more flexible in the use of range dimension freedom [11, 12], giving the FDA-MIMO radar great potential for applications against main-lobe deceptive interference [13, 14, 15, 16, 17, 18]. [PERSON] established the model of the FDA deceptive interference signal in [19] and derived its expression. Reference [20] studies beamforming methods based on the direct data domain. However, none of [19, 20] consider the effect of time delay, so the interference model is incomplete. Taking into account the effect of time delay, the FDA deceptive jamming model is rederived in [21]. The deceptive interference signal flow is corrected in [22, 23], and a new range dimension deceptive interference method is proposed. [PERSON] [24] proposed a composite interference method of suppression and range deception for FDA-MIMO beamforming. References [25, 26] proposed a method based on subarray and meshless compressed sensing for evaluating the range parameters information and angle parameters information based on the FDA radar. When multiple signal sources are present, a method to estimate the angle of arrival by phase interferometry is proposed in [27]. Based on the FDA-MIMO radar, reference [19] studied a robust adaptive beamforming algorithm against deceptive jamming, but the steering vector assumed by this method is only a special case among many cases. Reference [28] proposed a dual-pulse detection scheme based on FDA-MIMO, which can ensure a high suppression probability of deceptive jamming. New methods against deceptive interference based on sample selection and non-uniform sample detection are proposed in [29, 30]. In [31], a \"low-rank + low-rank + sparse\" factorization model is used to separate low-rank target signals and suppress deceptive interference signals. Against the range dimension main-lobe deceptive interference, reference [32] proposed a simulated annealing algorithm based on FDA-MIMO. A preset null-broadening beamformer is used in [33] to solve the problem of jamming suppression in case of frequency mismatch. A new weighting design method is proposed in reference [34] to suppress the deceptive interference by using the range dimension degrees of freedom of the FDA to control the location distribution of the zero notches. However, the beamforming anti-jamming methods in [19, 29, 30, 33, 34] are easily affected by the signal mismatch caused by incoherent scattering [35], array error [36], direction error [37], and channel gain [38]. For non-uniformly spaced FDA radars, [PERSON] [39] proposed a phase-centric cognitive adaptive anti-interference method. In general, the suppression ability of range dimension deceptive jamming is limited, so it is urgent to study the methods against deception interference in the range dimension. Based on the FDA-MIMO radar system, this paper studies the range dimension deceptive jamming suppression method. The main innovations are the following:  
1. The FDA-MIMO deceptive jamming method in the range dimension is analyzed, and an accurate understanding of its interference model is presented. 2. An improved MUSIC method against deceptive jamming in the range dimension is proposed. 3. A flow chart against deceptive jamming in the range dimension of the FDA-MIMO regime is proposed.