Equivalent Circuits for the PNS2 Sampling Scheme

Lacaze, B.

doi:10.1109/tcsi.2010.2050228

Cited by 12 publications

(15 citation statements)

References 18 publications

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“…Signal samples are then composed of the sequences X λ = {X(n + λ), n ∈ Z} with λ = {a, b}. For bandpass signals (in the k th Nyquist band with k > 0), under the condition 2k(b − a) / ∈ Z, exact signal reconstruction in mean-squared error sense and from an infinite number of samples is possible using the following formula [12], [15]:…”

Section: Pns2 Sampling Scheme and Reconstruction Formulasmentioning

confidence: 99%

“…This paper proposes modified versions of errorless reconstruction of a bandpass signal from PNS2 for practical applications in telecommunication satellites. Errorless reconstruction from PNS2 has been previously studied in [12], [17]. In the context of telecommunications systems reconstruction formulas must also demonstrate high convergence rate due to the limited number of available samples.…”

Section: Relation To Prior Workmentioning

confidence: 99%

“…This scheme allows to reduce sampling frequency ( [9], [10], [11]) but also aliasing ( [3], [7]). An exact reconstruction is possible from an infinite number of samples assuming the a priori knowledge of the signal spectral band [12]. However, in practical applications, the signal reconstruction is generally performed in real time using a finite sliding observation window or equivalently a finite number of samples.…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

See 2 more Smart Citations

Selective analytic signal construction from a non-uniformly sampled bandpass signal

Vernhes¹,

Chabert²,

Lacaze³

et al. 2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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This paper proposes a method that simultaneously builds the analytic signal from non-uniform samples of a bandpass signal and rejects interferences. The analytic signal is required for many onboard operations in communication satellites. This method operates in the time domain and without preliminary demodulation, using Periodic Non-uniform Sampling of order 2 (PNS2). This non-uniform sampling scheme can be easily implemented with available devices. Exact formulas for the analytic signal construction are derived for an infinite observation window (an infinite number of samples). For practical applications, the formulas should also demonstrate a high convergence rate due to the finite observation window. Formulas with increasing convergence rates are thus derived.The proposed method has been tested through simulations according to the number of available samples, the interference parameters and the filter transfer function regularity.

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Section: Pns2 Sampling Scheme and Reconstruction Formulasmentioning

confidence: 99%

Section: Relation To Prior Workmentioning

confidence: 99%

Section: Introduction and Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Selective analytic signal construction from a non-uniformly sampled bandpass signal

Vernhes¹,

Chabert²,

Lacaze³

et al. 2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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“…The reconstruction formula (1) is obtained through the fundamental isometry relating the random process Z (t) and the complex exponential e iωt [7]. Let H denote the Hilbert space generated by the random process Z (t) i.e.…”

Section: Principle: the Fundamental Isometrymentioning

confidence: 99%

“…The rate is chosen according to the Landau criterion related to the signal bandwidth [6]. This sampling scheme reduces by L the mean sampling rate and allows to eliminate interleaving in case of bandpass signals [3], [4], [7]. For simplicity, this paper focusses on PNS2.…”

Section: Introductionmentioning

confidence: 99%

Fast convergence reconstruction formulas for periodic nonuniform sampling of order 2

Chabert

Lacaze²

2012

2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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This paper studies the reconstruction of a random band-limited process from a nonuniform periodic sampling of order 2. This sampling scheme uses two interleaved sample sequences at the same rate chosen according to the Landau criterion. The associated exact reconstruction formula is composed of two series with cardinal sine functions as general terms. In practical applications, the signal is observed on a finite window. The exact reconstruction formula is then approached by truncation of the series. The series rate of convergence has thus a strong influence on the reconstruction performance in practice. Unfortunately, the cardinal sine functions lead to a slow convergence. In the case of an over-sampled process, we propose interpolation formulas derived from raised cosine filters. We show, through theoretical analysis and numerical simulations, that the regularity of these functions leads to a higher series convergence rate and thus improves the reconstruction performance even for a low over-sampling rate.Index Terms-Nonuniform sampling of order 2, reconstruction formula.

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OperA: Operator-Based Annihilation for Finite-Rate-of-Innovation Signal Sampling

Seelamantula

2015

Sampling Theory, a Renaissance

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Equivalent Circuits for the PNS2 Sampling Scheme

Cited by 12 publications

References 18 publications

Selective analytic signal construction from a non-uniformly sampled bandpass signal

Selective analytic signal construction from a non-uniformly sampled bandpass signal

Fast convergence reconstruction formulas for periodic nonuniform sampling of order 2

OperA: Operator-Based Annihilation for Finite-Rate-of-Innovation Signal Sampling

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