Asynchronous Representation and Processing of Nonstationary Signals : A Time-Frequency Framework

Chaparro, Luıs F.; Sejdić, Ervin; Can, Azime; Alkishriwo, Osama A. S.; Şenay, Seda; Akan, Aydın

doi:10.1109/msp.2013.2267811

Cited by 16 publications

(5 citation statements)

References 25 publications

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“…The discrete linear chirp transform (DLCT) of a discrete-time signal x(m), 0 ≤ m ≤ M − 1 and its corresponding inverse are defined as [11] X(k, l)…”

Section: A Primer On Dlct Consider a Finite Support Discrete-time Chi...mentioning

confidence: 99%

Multipath Parameters Estimation of Near-Field Spatial-Wideband Systems

Das,

Sen,

Viterbo

2023

Preprint

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<p>This letter proposes a low-complexity, two-step angle, range and delay signature estimation algorithm for a sparse multipath near-field spatial-wideband system. With upcoming sub-THz systems expected to have a large number of antennas, the transmitted wideband signal is not only sensitive to the physical propagation delay across the array aperture but the resulting wavefront is no longer locally planar. We use a combination of discrete linear chirp transform and discrete Fourier transform based techniques to estimate the spatial wideband signature of such a system. Further, we propose an iterative neighbourhood search to acquire super-resolution estimates of the scatterer locations, delays and angle of arrival of the multipaths and show that they are asymptotically optimal approaching their respective Cramér-Rao bounds. This letter proposes a low-complexity one-snapshot two-step signature estimation algorithm for a sparse multipath near-field spatial-wideband system. With upcoming sub-THz systems expected to have a large number of antennas, the transmitted wideband signal is not only sensitive to the physical propagation delay across the array aperture but the resulting wavefront is no longer locally planar. We use a combination of discrete Fourier and discrete linear chirp transform-based techniques to estimate the spatial wideband signature of such a system. Further, we propose an iterative neighbourhood search to acquire super-resolution estimates of the scatterer locations, delays and angle of arrival of the multipaths and show that they are asymptotically optimal approaching their respective Cramer- Rao bounds. </p>

show abstract

“…The discrete linear chirp transform (DLCT) of a discrete-time signal x(m), 0 ≤ m ≤ M − 1 and its corresponding inverse are defined as [11] X(k, l)…”

Section: A Primer On Dlct Consider a Finite Support Discrete-time Chi...mentioning

confidence: 99%

Multipath Parameters Estimation of Near-Field Spatial-Wideband Systems

Das,

Sen,

Viterbo

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The discrete linear chirp transform (DLCT) of a discrete-time signal x(m), 0 ≤ m ≤ M − 1 and its corresponding inverse are defined as [7] X…”

Section: A Primer On Discrete Linear Chirp Transform (Dlct)mentioning

confidence: 99%

“…The finer delay estimates can be obtained from τp through an iterative neighbourhood search detailed in Section IV-C. Let this fine estimate be denoted by τp . Then, the path delay matrix estimates B( τp ) can be obtained as shown in (7). Subsequently, the spatial-frequency localization matrix Hp for the p-th path can be extracted from the decoupled channel matrix in (5) as follows:…”

Section: Iv-a Delay Estimationmentioning

confidence: 99%

Low Complexity Signature Estimation of Near-Field Spatial-Wideband Systems

Das,

Sen,

Viterbo

2023

Preprint

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<p> This letter proposes a low-complexity one-snapshot two-step signature estimation algorithm for a sparse multipath near-field spatial-wideband system. With upcoming sub-THz systems expected to have a large number of antennas, the transmitted wideband signal is not only sensitive to the physical propagation delay across the array aperture but the resulting wavefront is no longer locally planar. We use a combination of discrete Fourier and discrete linear chirp transform-based techniques to estimate the spatial wideband signature of such a system. Further, we propose an iterative neighbourhood search to acquire super-resolution estimates of the scatterer locations, delays and angle of arrival of the multipaths and show that they are asymptotically optimal approaching their respective Cramer- Rao bounds. </p>

show abstract

“…In ETS schemes, a sample is taken when a certain pre-set event occurs in the signal. Choosing events skillfully can provide samples for good signal reconstruction (for certain specific class of signals [7][8][9]), or certain information estimation (example, see [10]). In this paper, we show the benefit of specific signal samples captured using ETS for analysis of oscillatory non-stationary signals.…”

Section: Introductionmentioning

confidence: 99%