Corrections to "Signal Processing Applications of Oblique Projection Operators" [Correspondence]

Behrens, R.T.; Scharf, Louis L.

doi:10.1109/tsp.1996.502348

Cited by 6 publications

(5 citation statements)

References 1 publication

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“…Then, we use a new formulation of the CML based on oblique projections to investigate the first moment. Oblique projections are well known for their applications in signal processing, especially in channel estimation [13][14][15][16]. With this formulation, it is proved that the channel estimator is unbiased.…”

Section: M2 59655 Villeneuve D'ascq Cédex France Full List Of Authomentioning

confidence: 99%

Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference

Dermoune

Simon

2017

EURASIP J. Adv. Signal Process.

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This paper is a theoretical analysis of the maximum likelihood (ML) channel estimator for orthogonal frequency-division multiplexing (OFDM) systems in the presence of unknown interference. The following theoretical results are presented. Firstly, the uniqueness of the ML solution for practical applications, i.e., when thermal noise is present, is analytically demonstrated when the number of transmitted OFDM symbols is strictly greater than one. The ML solution is then derived from the iterative conditional ML (CML) algorithm. Secondly, it is shown that the channel estimate can be described as an algebraic function whose inputs are the initial value and the means and variances of the received samples. Thirdly, it is theoretically demonstrated that the channel estimator is not biased. The second and the third results are obtained by employing oblique projection theory. Furthermore, these results are confirmed by numerical results.

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Section: M2 59655 Villeneuve D'ascq Cédex France Full List Of Authomentioning

confidence: 99%

Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference

Dermoune

Simon

2017

EURASIP J. Adv. Signal Process.

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“…

E_{bold-italicb ()(, θ_{i}) bold-italicC ()(, θ_{i})}

is the oblique projection onto

(⟩⟨, bold-italicb ()(, θ_{i}))

, along the direction of

(⟩⟨, bold-italicC ()(, θ_{i}))

. By drawing lessons from [32], it can be written as (32) and has the following properties

\begin{matrix} 1em4pt \\ E_{bold-italicb ()(, θ_{i}) bold-italicC ()(, θ_{i})} = bold-italicb ()(, θ_{i}) {()(, bold-italicb {()(, θ_{i})}^{H} P_{bold-italicC ()(, θ_{i})}^{⊥} bold-italicb ()(, θ_{i}))}^{- 1} bold-italicb {()(, θ_{i})}^{H} P_{bold-italicC ()(, θ_{i})}^{⊥}, \end{matrix}

E_{bold-italicb ()(, θ_{i}) bold-italicC ()(, θ_{i})} bold-italicb ()(, θ_{i}) = bold-italicb ()(, θ_{i}),

E_{bold-italicb ()(, θ_{i}) bold-italicC ()(, θ_{i})} bold-italicC ()(, θ_{i}) = bold0 .

Thus

\begin{matrix} right leftthickmathspace.5em \\ b (θ_{i}) {\hat{β}}_{i} & = {bold-italicE}_{b (...)} \end{matrix}

…”

Section: Enhanced Beamspace Music Algorithm Designmentioning

confidence: 99%

Enhanced beamspace MUSIC for cost‐effective FMCW automotive radar

Zhang

Song

et al. 2020

IET Radar, Sonar & Navigation

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“…Behrens and Scharf discussed the suppressions of unrespect signal using subspace oblique projection in As defined in [6,7], the oblique projection operator is…”

Section: Oblique Projection Operatormentioning

confidence: 99%

“…Based on the previous researches, this paper discusses the uncorrelated characteristic between echoes and jamming based the "thumbtack" feature of LFM signal in FRFT domain [5]. Finally, build an oblique projection operator according to [6] and [7] to suppress the jamming. With the application of the oblique projection, jamming suppression can be processed instantaneously.…”

Section: Introductionmentioning

confidence: 99%

LFM Radar Convolution Jamming Suppression Based on Oblique Projection in FrFT Domain

Wang

Ping

Zhao

et al. 2016

MATEC Web of Conferences

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Abstract. Convolution false-targets jamming against LFM fire-control radars generates range and velocity false targets which are coherent with target echo, which increases the difficulty of jamming detection and suppression and makes the victim radar system lost the track of real target. To combat against this type of jamming, the uncorrelated characteristic between the jamming and echo in FRFT domain is discussed firstly. Thus, an oblique projection operator which is capable of suppress convolution false-targets jamming is built. The simulation results showed the operator have little effect on the echo and proved the effectiveness of this method.

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Corrections to "Signal Processing Applications of Oblique Projection Operators" [Correspondence]

Cited by 6 publications

References 1 publication

Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference

Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference

Enhanced beamspace MUSIC for cost‐effective FMCW automotive radar

LFM Radar Convolution Jamming Suppression Based on Oblique Projection in FrFT Domain

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