Inverse filtering of radar signals using compressed sensing with application to meteors

Volz, Ryan; Close, Sigrid

doi:10.1029/2011rs004889

Cited by 14 publications

(9 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper we focus on radar measurements of the meteor “head echo,” which is the radar return from the plasma surrounding the meteoroid itself as it enters the Earth's atmosphere. After detecting the head plasma and applying compression methods such as Volz and Close [], we can equate the measured signal strength to the electron line density. Meteoroid masses can be related to the electron density of the meteor head plasma through [ Close et al , ]:

m = \int \frac{qμv}{β} normald t

…”

Section: Introductionmentioning

confidence: 99%

An FDTD model of scattering from meteor head plasma

Marshall

2015

JGR Space Physics

View full text Add to dashboard Cite

We have developed a three‐dimensional finite difference time domain (FDTD) model of scattering of radar waves from meteor head plasma. The model treats the meteor head plasma as a cold, collisional, and magnetized plasma, and solves Maxwell's equations and the Langevin equation simultaneously and self‐consistently in and around the plasma. We use this model to investigate scattering of radar waves from a meteor head (the “head echo”) under a range of plasma densities, meteor scale sizes, and wave frequencies. In this way we relate the radar cross section (RCS) to these variable parameters. We find that computed RCS disagrees with previous analytical theory at certain meteor sizes and densities, in some cases by over an order of magnitude. We find that the calculated meteor head RCS is monotonically related to the “overdense area” of the meteor, defined as the cross‐section area of the part of the meteor where the plasma frequency exceeds the wave frequency. These results provides a physical measure of the meteor size and density that can be inferred from measured RCS values from ground‐based radars. Meteoroid mass can then be inferred from the meteor plasma distribution using established methods.

show abstract

m = \int \frac{qμv}{β} normald t

…”

Section: Introductionmentioning

confidence: 99%

An FDTD model of scattering from meteor head plasma

Marshall

2015

JGR Space Physics

View full text Add to dashboard Cite

show abstract

“…This issue starts to become significant when the phase of the echo rotates more than 10 % of 2π due to Doppler (≈ 50 Hz Doppler shift for our setup). However, these cases could be analyzed with two other approaches: a filter matched in Doppler and range (Markkanen et al, 2005), or using a sparse model of the target in range-Doppler space (Volz and Close, 2012). Pseudorandom phase coded continuous radar transmit waveforms are well suited for both of these analysis methods.…”

Section: Discussionmentioning

confidence: 99%

Coded continuous wave meteor radar

et al. 2016

View full text Add to dashboard Cite

Abstract. The concept of a coded continuous wave specular meteor radar (SMR) is described. The radar uses a continuously transmitted pseudorandom phase-modulated waveform, which has several advantages compared to conventional pulsed SMRs. The coding avoids range and Doppler aliasing, which are in some cases problematic with pulsed radars. Continuous transmissions maximize pulse compression gain, allowing operation at lower peak power than a pulsed system. With continuous coding, the temporal and spectral resolution are not dependent on the transmit waveform and they can be fairly flexibly changed after performing a measurement. The low signal-to-noise ratio before pulse compression, combined with independent pseudorandom transmit waveforms, allows multiple geographically separated transmitters to be used in the same frequency band simultaneously without significantly interfering with each other. Because the same frequency band can be used by multiple transmitters, the same interferometric receiver antennas can be used to receive multiple transmitters at the same time. The principles of the signal processing are discussed, in addition to discussion of several practical ways to increase computation speed, and how to optimally detect meteor echoes. Measurements from a campaign performed with a coded continuous wave SMR are shown and compared with two standard pulsed SMR measurements. The type of meteor radar described in this paper would be suited for use in a large-scale multi-static network of meteor radar transmitters and receivers. Such a system would be useful for increasing the number of meteor detections to obtain improved meteor radar data products.

show abstract

“…As outlined above, many kinds of algorithms have been employed for images reconstruction in radar applications. These include the templates for first-order conic solvers (TFOCS) [Volz and Close, 2012], the basis pursuit algorithms [Wiaux et al, 2009a[Wiaux et al, , 2009bLi et al, 2011;Harding and Milla, 2013], the accelerated iterative thresholding (IST) algorithm [Wenger et al, 2010], and the simultaneous direction method of multipliers (SDMM) [Carrillo et al, 2012[Carrillo et al, , 2013. In the present work, we implemented a different algorithm, the alternation direction method of multipliers (ADMM).…”

Section: Admmmentioning

confidence: 99%

Coherent radar imaging based on compressed sensing

2015

Self Cite

View full text Add to dashboard Cite

High-resolution radar images in the horizontal spatial domain generally require a large number of different baselines that usually come with considerable cost. In this paper, aspects of compressed sensing (CS) are introduced to coherent radar imaging. We propose a single CS-based formalism that enables the full three-dimensional (3-D)-range, Doppler frequency, and horizontal spatial (represented by the direction cosines) domain-imaging. This new method can not only reduce the system costs and decrease the needed number of baselines by enabling spatial sparse sampling but also achieve high resolution in the range, Doppler frequency, and horizontal space dimensions. Using an assumption of point targets, a 3-D radar signal model for imaging has been derived. By comparing numerical simulations with the fast Fourier transform and maximum entropy methods at different signal-to-noise ratios, we demonstrate that the CS method can provide better performance in resolution and detectability given comparatively few available measurements relative to the number required by Nyquist-Shannon sampling criterion. These techniques are being applied to radar meteor observations. Interferometric imaging has been introduced to radio and radar observations for decades in the fields of astronomy, meteorology, atmosphere/ionosphere observations, plasma physics, and so on [Marouf et al., 1982;Kunitsyn and Tereshchenko, 1992;Igarashi et al., 2000;Pavelyev et al., 2002]. Interferometry was first used at the Jicamarca Radio Observatory for measuring the inclination of the geomagnetic field [Woodman, 1971]. Since then, it has been successfully applied to study ionospheric plasma irregularity phenomena [Farley et al., 1981;Kudeki and Stitt, 1987;Hysell, 1996]. It is a practical way to simultaneously achieve both fine spatial and temporal resolutions. Its mathematical basis is the Fourier transform relationship between the spatial correlation of the electromagnetic fields scattered from targets-visibility measurements-and the angular brightness ZHU ET AL.COHERENT RADAR IMAGING Key Points:• Discrete linear radar signal model for holography is proposed • Aspects of compressed sensing are introduced to holography • Outstanding performance of compressed sensing is proved

show abstract

Inverse filtering of radar signals using compressed sensing with application to meteors

Cited by 14 publications

References 24 publications

An FDTD model of scattering from meteor head plasma

An FDTD model of scattering from meteor head plasma

Coded continuous wave meteor radar

Coherent radar imaging based on compressed sensing

Contact Info

Product

Resources

About