Resolution enhancement for Doppler beam sharpening imaging

Chen, Hongmeng; Li, Ming; Zhang, Peng; Liu, Gaofeng; Jia, Lu; Wu, Yan

doi:10.1049/iet-rsn.2014.0384

Cited by 15 publications

(7 citation statements)

References 12 publications

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“…After range migration correction, the range‐compressed echoes can be expressed as [5, 8]

s false(τ, t false) = A \cdot rect ()(, \frac{t}{T_{s}}) \cdot sinc (][, B ()(, τ - \frac{2 R false(t false)}{c})) \cdot \exp ()(, - normalj 4 π \frac{R false(t false)}{λ})

The instantaneous phase can be given by

φ false(t false) = 4 π \cdot \frac{R false(t false)}{λ} = \frac{4 π}{λ} ()(, R_{0} - v \cos θ_{0} \cos φ \cdot t)

Then, we can get the Doppler frequency as follows

f_{normald} = - \frac{1}{2 π} \frac{d φ (t)}{d t} = \frac{2 v \cos θ \cos φ}{λ}

The Doppler bandwidth [5, 11] is shown as

normalΔ f_{normald} = \frac{2 v \sin θ_{0} \cos φ}{λ} Δ θ .

Neglecting the constant phase exp(−j4 πR 0 / λ ) and substituting (5) into (3), we can get the simplified form of (3) as […”

Section: Dbs Imaging Modelmentioning

confidence: 99%

“…Therefore, the sharpening ratio in traditional FFT method is greatly limited. In [11], aperture extrapolation technique is utilised to increase the pulse number in azimuth direction. However, the ability of aperture extrapolation is limited.…”

Section: Dbs Imaging Modelmentioning

confidence: 99%

“…Ψ is a redundant Fourier matrix,

normalΨ = false[ψ_{1}, ψ_{2}, \dots, ψ_{\hat{N}} false] false(\overset{false^}{N} > N false)

, and

ψ_{\hat{n}} = \exp ()(, - normalj 2 π f_{\hat{n}} bold-italict)

, in our SR‐DBS framework, we set

\overset{false^}{N}

as α · N , α is an integer factor. Assuming that the Doppler central frequency has been estimated by the echo data and compensated to the zero frequency [5, 11], the Doppler frequency

f_{\hat{n}}

in our proposed algorithm can be given by

f_{\hat{n}} = f_{normalr} / \overset{false^}{N} ()(, \overset{false^}{n} - 1 - \overset{false^}{N} / 2), \overset{false^}{n} = 1, 2, \dots, \overset{false^}{N}

. Therefore, Ψ can be given as

normalΨ = (][, \begin{matrix} 1em4pt \\ 1 & 1 & \dots & 1 \\ 1 & {normale}^{- j 2 π / \hat{N} (1 - \hat{N} / 2)} & \dots & {normale}^{- j 2 π / \hat{N} (\hat{N} / 2 - 1)} \\ ⋮ & ... \end{matrix})

…”

Section: Dbs Imaging Via Srmentioning

confidence: 99%

“…Modern spectral estimation technique based on RELAX algorithm is discussed in [10]. In [11], an AE‐CSR algorithm is introduced, aperture extrapolation technique is utilised to increase the data length in azimuth direction and the amplitude and phase estimation of a sinusoid is applied to replace the fast Fourier transform (FFT) to perform the Doppler analysis. The new emerging theory of compressive sensing (CS) states that a sparse signal can be reconstructed from highly incomplete samples or measurements [12].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we will propose an alternative framework of DBS super‐resolution formation using SR (SR‐DBS). Since the useful scene information for DBS image is always corresponding to the Doppler band, and the Doppler band distributes just part in the whole frequency domain [1, 2, 5, 11], the DBS image is intrinsically sparse in frequency domain. This distribution of Doppler band provides a sparsity feature of the DBS image.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Super‐resolution Doppler beam sharpening imaging via sparse representation

Chen

Wang

et al. 2016

IET Radar, Sonar & Navigation

Self Cite

View full text Add to dashboard Cite

“…After range migration correction, the range‐compressed echoes can be expressed as [5, 8]

s false(τ, t false) = A \cdot rect ()(, \frac{t}{T_{s}}) \cdot sinc (][, B ()(, τ - \frac{2 R false(t false)}{c})) \cdot \exp ()(, - normalj 4 π \frac{R false(t false)}{λ})

The instantaneous phase can be given by

φ false(t false) = 4 π \cdot \frac{R false(t false)}{λ} = \frac{4 π}{λ} ()(, R_{0} - v \cos θ_{0} \cos φ \cdot t)

Then, we can get the Doppler frequency as follows

f_{normald} = - \frac{1}{2 π} \frac{d φ (t)}{d t} = \frac{2 v \cos θ \cos φ}{λ}

The Doppler bandwidth [5, 11] is shown as

normalΔ f_{normald} = \frac{2 v \sin θ_{0} \cos φ}{λ} Δ θ .

Neglecting the constant phase exp(−j4 πR 0 / λ ) and substituting (5) into (3), we can get the simplified form of (3) as […”

Section: Dbs Imaging Modelmentioning

confidence: 99%

Section: Dbs Imaging Modelmentioning

confidence: 99%

“…Ψ is a redundant Fourier matrix,

normalΨ = false[ψ_{1}, ψ_{2}, \dots, ψ_{\hat{N}} false] false(\overset{false^}{N} > N false)

, and

ψ_{\hat{n}} = \exp ()(, - normalj 2 π f_{\hat{n}} bold-italict)

, in our SR‐DBS framework, we set

\overset{false^}{N}

as α · N , α is an integer factor. Assuming that the Doppler central frequency has been estimated by the echo data and compensated to the zero frequency [5, 11], the Doppler frequency