Multiband FM‐based PBR system in presence of model mismatch

Abstract

The effect of the complex amplitude mismatch (CAM) on the performance of multiband uniformly most powerful invariant (M-UMPI) detector is studied. This optimum invariant detector assumed a fully correlated amplitude over different frequency channels (DFCs) to improve target range resolution (TRR). In this case, we obtain a closed-form expression for the detection probability of the M-UMPI under the CAM. Some simulation results are provided to evaluate the detection performance loss as well as degradation in TRR of the M-UMPI detector when there are different types of CAM over DFCs. Introduction: Consider an FM-based PBR system, which is able to collect M different frequency channels (DFCs) broadcasted from the same transmitter station simultaneously, so it is referred to as multiband FM-based PBR system [1, 2]. Assume that all of these M frequency channels with the carrier frequencies of f (1) c , f (2) c ,. .. , f (M) c are fully correlated. It is said that a set of M frequency channels with the carrier frequencies of {f (1) c , f (2) c ,. .. , f (M) c } constitutes a set of fully correlated channels when f (M) c − f (1) c ≪ Df = c/2D, where c is the speed of light and D is the target size [1, 3]. By considering this, it may be possible to assume that the received target signal amplitudes over correlated channels to be fully correlated. Also, as we all know, in order to improve target range resolution (TRR), it is required to increase the bandwidth of the signal used for detection. To do this, similar to the system introduced in [1], each of the received channels should be filtered at the selected bandwidth of B, digitally up-sampled with sampling frequency of f s = MB, and up-converted to the centre frequency of {f m } M m=1 in order to be adjacent in frequency with no overlap or space between them. All of this show that constructing high bandwidth signal is not a sufficient condition to improve the TRR in a multiband FM-based PBR system, it is also required that the received amplitudes of a target over DFCs to be fully correlated [1]. In this case, the proper value of B can also effect on TRR [1]. By doing so, the received multiband surveillance signal vector can be compactly described by the following model [1]:

Range-Doppler Domain-Based DOA Estimation Method for FM-Band Passive Bistatic Radar

“…Such IoOs were originally designed for broadcasting and communications. For example, PBR has used frequency modulation (FM) radio [1]- [4], amplitude modulation (AM) radio [5], digital television [6]- [9], digital audio broadcasting [10], global systems for mobile communications [11], [12], Wi-Fi [13], and satellite signals [14].…”