passive radar signal processing


The radar is passive because it does not use a transmitter, but instead relies on other already strong transmitters such as FM broadcast radio stations. Passive radar systems encompass a class of radar systems that detect and track objects by processing reflections from non-cooperative sources of illumination in the environment, such as commercial broadcast and communications signals. Note that we don’t yet know what the coefficients \(b_k\) in the clutter signal are since they depend on the scattering objects that are present in the radar environment. In radar terminology, these signals are collectively known as ‘clutter.’ For passive radars, the clutter signals are often tens or hundreds of times stronger than the target echoes. Communication hardware, interfaces and storage. This equation looks a lot like the one for the clutter signal, except that now each element of the sum is multiplied by a Doppler shift term, \( exp(j2\pi n f_k / F_s) \). Mathematics of computing. The main objective of the clutter removal algorithm can therefore be fulfilled by finding an estimate of the clutter coefficients. Comments. We will denote the signal received by the reference channel as \(s_r[n]\) and the signal received by the observation channel as \(s_o[n]\). In practice, the matrix \(\mathbf{X^H X}\) is sometimes ill-conditioned (nearly singular), which means that the solution to the least squares problem is not uniquely determined. A passive radar is a radar system which receives only, instead of alternating transmission and reception. One benefit of the least squares algorithm is that its derivation is intuitive given the vector space formulation of the clutter removal process described above. The passive radar receiver collects both a reference signal r(t) via a line-of-sight (LOS) path direct from the illuminator, and a surveillance signal s(t) reflected via the target(s) of interest. Comparing this equation with the original signal model for the observation channel signal, we see that if we choose the right clutter vector \( \boldsymbol{\beta} \), then the term \( \mathbf{X} \boldsymbol{\beta} \) represents the clutter signal \( s_{cl} \). Each of the signal processing stages typically applied in passive radar is described, including digital beamforming, clutter removal, target detection, localization and tracking. We will assume for simplicity that the reference signal is a perfect copy of the transmitted signal. Radar systems with communication capabilities, however, have an even older history—as can be seen in mid-course interceptor missile guidance via fire control radar. Passive MIMO radar detection exploiting known format of the communication signal observed in colored noise with unknown covariance matrix This gives us a hint about how the echo signal can be separated from the clutter signal. A variety of different adaptive filtering algorithms can be used for clutter removal in passive radar. As it is apparent, this thesis is mainly focused on the description of a multichannel passive radar based These concepts are illustrated with both simulated and measured data along with examples of passive radar systems. DVB-T Passive Radar Signal Processing. I also strongly recommend the textbook Adaptive Filter Theory by Simon Haykin if you want to read more about adaptive filtering. New digital signals, like digital audio/video broadcast (DAB/DVB), are excellent candidates for this scheme, as they are widely available, can be easily decoded to acquire the noise-free signal, and employ orthogonal frequency division multiplex (OFDM). All the algorithms are tested and verified through real field measurement data and simulations. If you haven’t already, check out the main passive radar page to get an idea of what the project is all about. high range resolution) and wide area network (i.e. This choice (which is equivalent to \(L_2\) regularization) adds a penalty on the square magnitude of the solution vector to select for solutions with smaller magnitudes. 2010. The number \( M \) is chosen to be the largest delay for which there is a significant clutter return, which varies depending on the situation. To begin, let \(\mathbf{x_k} \) denote a vector containing \(L\) samples of the reference signal delayed by \( k \) samples, \(s_r[n – k] \). Hardware. R., Demissie B., Heckenbach J., Willett P., Zhou S. Signal processing for passive radar using OFDM waveforms // IEEE J. These concepts are illustrated with both simulated and measured data along with examples of passive radar systems. Vol. The clutter coefficients \(b_k\) are the coordinates of the clutter signal in the clutter space. This is my first post in a series covering signal processing algorithms for passive radar. Signal Processing for Passive Radar Using OFDM Waveforms Abstract: Passive radar is a concept where illuminators of opportunity are used in a multistatic radar setup. The signal is modulated Coding theory. Addi-tionally, this article assesses the passive radar threat to stealth, posits implications for future U.S. military power, and recommends a U.S. course of action regarding passive radar. We will call this space the clutter space. The … This seems impossible at first, since it looks like the filter is trying to predict its own output. Daventry Experiment was not only a radar, but also a passive radar, i.e. Part 1 is here. We can find the clutter signal by computing the projection of the observation channel signal into the clutter space. A block diagram of this process is shown below. Passive radar is a concept where illuminators of opportunity are used in a multistatic radar setup. In addition to this, with signal processing methods, it is possible to detect the range, speed and direction of the object using the transmitted waveform and echo signal. (PDF) DVB-T Passive Radar Signal Processing | Linda Davis - Academia.edu Abstract This paper provides a detailed overview of the Digital Video Broadcasting Terrestrial (DVB-T) signal structure and the implications for passive radar systems that use these signals as … If you haven’t already, check out the main passive radar page to get an idea of what the project is all about. passive radar and how it relates to advances in signal processing and sensor fusion. It is convenient to reformulate this idea in terms of vector spaces. First, recall that complex exponential functions of different frequencies are orthogonal to one another. Note that the product of \( \mathbf{X} \) with \( \boldsymbol{\beta} \) is a vector of length \( L \). performed to validate its performance both with data from a signal generator and acquired with the antennas. The Letter aims to investigate the polarisation diversity for passive radar system. The coefficients are selected based on the input data so that the desired output is obtained. Aircraft versus Radar “The defensive form of … Signal processing is employed in radar systems to reduce the radar interference effects. The animation below shows an example (using real passive radar data) of how a clutter removal algorithm can be used to extract target signals that would otherwise be completely buried in noise. Digital television signal is used as the illuminator of opportunity in this experiment. Each of the signal processing stages typically applied in passive radar is described, including digital beamforming, clutter removal, target detection, localization and tracking. In the last post, we derived an algorithm that removes the radar clutter from the observation channel of a passive radar. Select. It is a specific case of bistatic radar, the latter also including the exploitation of cooperative and non-cooperative radar transmitters. To derive the clutter removal algorithm, it is necessary to make some assumptions about the nature of the received passive radar signals. Advanced Passive Radar Library pyAPRiL is a python based signal processing library which implements passive radar signal processing algorithms. P. 226–238. Finally, the first results of a new acquisition campaign carried on 29 th and 30 th April 2009 with this new device are reported. The estimated clutter signal can then be subtracted from the observation channel signal to yield an estimate of the target echo signal. We can then define a matrix \( \mathbf{X} \), which is a \( L \times M \) matrix whose columns are the basis vectors \( \mathbf{x_k} \) for \( k \) between \( 0 \) and \( M \). traditional pulsed radar waveforms, and the receiver processing includes advanced digital signal processing to achieve high target resolution. So how do we find this optimal value for \( \boldsymbol{\beta} \) (which we will call \( \boldsymbol{\hat{\beta}} \))? In passive radar, multicarrier waveforms in the form of Digital Audio Broad- cast (DAB) are used as illuminators of opportunity to detect and locate airborne targets. Login options. The optimal clutter vector \( \boldsymbol{\hat{\beta}} \) can therefore be obtained by minimizing the square magnitude of \(\boldsymbol{\epsilon} \). Check out the next post in this series to see how the echo signals are processed to reveal target characteristics. Then, since the clutter signal is comprised of a direct-path copy of the transmitted signal and various multi-path reflections from stationary objects, it is natural to model it as a sum of \( M \) scaled and delayed copies of the reference signal. The least squares filter is a block algorithm since it involves dividing the input data into chunks many samples in length and computing a single set of filter coefficients for each chunk. Topics Signal Process. \( \mathbf{X} \) transforms any point in the clutter space (a vector of length \( M \)) into its representation in the signal space (a vector of length \( L \)). Download books for free. The corresponding minimum-magnitude vector \(\boldsymbol{\hat{\epsilon}} \) then becomes our best estimate of the target signal. This post is a bit math-ier than the last one but I will try to keep it as intuitive as possible. The performance of these two adaptive filtering schemes as well as several others are compared for passive radar clutter removal in this paper. Similarly to how the clutter signal was modelled in terms of the reference signal, the echo signal from \(N\) different targets can be represented as a sum of \(N\) scaled, delayed and Doppler shifted copies of the reference signal. This contrasts with stochastic gradient based approaches such as the least mean squares filter in which the filter taps are updated using each of the individual input samples as they arrive. However, if we can use some additional information to find appropriate estimates \(\hat{b_k}\) of the clutter coefficients, they can be used to reconstruct an estimate of the clutter signal. Next, let \( \boldsymbol{\beta} \) be an arbitrary vector of length \( M \). This is exciting because it means that we have reduced our problem to an ordinary least squares regression. These concepts are illustrated with both simulated and measured data along with examples of passive radar systems. If you haven’t already, check out the main passive radar page to get an idea of what the project is all about. Passive radar signal processing part 1: clutter removal 2019-12-27 This is my first post in a series covering signal processing algorithms for passive radar. 4, № 1. The DVB-T source transmits the signal x(t). Passive radar can be used to detect flying aircraft by listening for signals bouncing off their fuselage and can also be used to detect meteors entering the atmosphere. Check if you have access through your login credentials or your institution to get full access on this article. Enter the email address you signed up with and we'll email you a reset link. New digital signals, like digital audio/video broadcast (DAB/DVB), are excellent candidates for this scheme, as they are widely available, can be easily decoded to acquire the noise-free signal, and employ orthogonal frequency division multiplex (OFDM). Subtracting off the clutter signal leaves only the echo signal. The spike that emerges from the noise is the target echo. This is my second post in a series covering signal processing algorithms for passive radar. Berger Chr. The solution for this type of problem is well known, and is given by. These concepts are illustrated with both simulated and measured data along with examples of passive radar systems. Each of the signal processing stages typically applied in passive radar is described, including digital beamforming, clutter removal, target detection, localization and tracking. The modified equation for the clutter coefficient vector \(\boldsymbol{\hat{\beta}}\) using Tikhonov regularization is shown below, where \(\boldsymbol{\Gamma}\) is an \(M \times M\) matrix called the Tikhonov matrix. Sorry, preview is currently unavailable. Conversely, we have assumed that the clutter signal is a perfect linear combination of delayed copies of the reference signal. Applying the algorithm lowers the noise floor by almost 40dB! This means that because of the Doppler shift, the target echoes are linearly independent from the reference signal provided that the Doppler shift is nonzero and the signals are measured over a sufficiently long time interval. Dual-polarised Yagi-Uda antennas have been independently designed as surveillance array antennas, which can receive horizontal (H) and vertical (V) polarisation simultaneously. Some examples include passive radar, radio frequency identification (RFID), and mobile localization using cellular or WiFi network signals. Signal Processing for Passive Bistatic Radar | Malanowski, Mateusz | download | Z-Library. LTE-signal processing for passive radar air traffic surveillance Abstract: LTE has several advantages to be investigated as transmitter of opportunity for passive radar in Germany: low carrier frequencies (i.e. Different choices for the Tikhonov matrix result in different types of regularization. D. Our Work We are interested in investigating passive radar using dig-ital multicarrier modulated signals, as in the DAB scenario considered in [10], [11], [13], [14]. Alongside this maturity, new passive radar techniques are being developed, from multistatic signal processing to imaging and compressive sensing, for applications from air traffic control to Earth Observation, and with well-established transmitters of opportunity as well as upcoming ones. low free space attenuation), high bandwidth (i.e. The passive radar system requires a whole lot of computing power and extremely complex signal processing software. We used an algorithm known as the least squares filter (which is also sometimes called a Wiener filter). Since the noise term \(\nu\) is uncorrelated with the reference signal it cannot be removed, but as long as it is small compared to the target signal it can be neglected. New digital signals, like digital audio/video broadcast (DAB/DVB), are excellent candidates for this scheme, as they are widely available, can be easily decoded to acquire the noise-free signal, and employ orthogonal frequency … Passive radar is a concept where illuminators of opportunity are used in a multistatic radar setup. Find books Here \(w_k\), \(d_k\), and \(f_k\) are the magnitude, delay, and Doppler shift of the \(k^{th}\) target echo, respectively, and \(F_s\) is the sample rate. Signal processing systems. Note that in the preceeding equation \(\mathbf{X^H}\) represents the Hermitian transpose of \(\mathbf{X}\), since the elements of \(\mathbf{X}\) can be complex numbers. Before getting into the derivation, here is a quick proof of concept. The echo signal is linearly independent from each delayed copy of the reference signal, and therefore it is orthogonal to the clutter space. To learn more, view our, REVISED SUBMISSION TO IEEE TRANSACTIONS ON SIGNAL PROCESSING DVB-T Passive Radar Signal Processing, Experimental results for OFDM WiFi-based passive bistatic radar, Simulation and Detection Performance Evaluation of a UAV-mounted Passive Radar, Cross ambiguity function analysis of the '8k-mode' DVB-T for passive radar application, The effects of DVB-T SFN data on passive radar signal processing. You can download the paper by clicking the button above. So, how can an adaptive filtering algorithm determine the optimal filter coefficients? DVB-T Passive Radar Signal Processing Abstract: This paper provides a detailed overview of the Digital Video Broadcasting Terrestrial (DVB-T) signal structure and the implications for passive radar systems that use these signals as illuminators of opportunity. Academia.edu no longer supports Internet Explorer. The high-performance on- board computer enables the simultaneous use of 20 transmitters, in a mixture of VHF and digital frequencies. A common choice is \(\boldsymbol{\Gamma} = \alpha \boldsymbol{I}\), where \(\boldsymbol{I}\) is the identity matrix and \( \alpha \) is a constant. A clutter removal algorithm is therefore needed to remove these signals so that the target echoes can be observed. \(\boldsymbol{\epsilon} \) then represents the remaining two terms, \(s_{tar} + \nu\). To explain, we will begin by constructing a signal model for the target echoes. Next, we can model the observation channel signal as a sum of three components: the desired target echo signal \( s_{tar}[n] \), the clutter signal \( s_{cl}[n] \) and an additive noise term \(\nu[n]\). The set of vectors \(\mathbf{x_k} \) for \(k\) between \( 0 \) and \( M \) are the basis vectors of clutter space. Once the clutter coefficient vector has been obtained, it is straightforward to recover the target echo signal: With that, the clutter removal process is complete!