Optical sampling of narrowband microwave signals using pulses generated by electroabsorption modulators

Zeitouny, A.; Tamir, Zeev; Feldster, Alfred; Horowitz, Moshe

doi:10.1016/j.optcom.2005.06.072

Cited by 8 publications

(25 citation statements)

References 9 publications

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“…We start by simulating an optical sampling system described in [34]. There, the authors implement an acquisition device receiving a high frequency, narrowband electrical signal.…”

Section: A Band-limited Examplementioning

confidence: 99%

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Nonlinear and Nonideal Sampling: Theory and Methods

Dvorkind

Eldar

Matusiak³

2008

IEEE Trans. Signal Process.

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Abstract-We study a sampling setup where a continuous-time signal is mapped by a memoryless, invertible and nonlinear transformation, and then sampled in a nonideal manner. Such scenarios appear, for example, in acquisition systems where a sensor introduces static nonlinearity, before the signal is sampled by a practical analog-to-digital converter. We develop the theory and a concrete algorithm to perfectly recover a signal within a subspace, from its nonlinear and nonideal samples. Three alternative formulations of the algorithm are described that provide different insights into the structure of the solution: A series of oblique projections, approximated projections onto convex sets, and quasi-Newton iterations. Using classical analysis techniques of descent-based methods, and recent results on frame perturbation theory, we prove convergence of our algorithm to the true input signal. We demonstrate our method by simulations, and explain the applicability of our theory to Wiener-Hammerstein analog-to-digital hybrid systems.

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“…We start by simulating an optical sampling system described in [34]. There, the authors implement an acquisition device receiving a high frequency, narrowband electrical signal.…”

Section: A Band-limited Examplementioning

confidence: 99%

“…The signal is then converted to its baseband using an optical modulator. In [34] a small-gain electrical signal is used, such that the transfer function of the optical modulator is approximately linear. Here, however, we are interested in the nonlinear distortion effects.…”

Section: A Band-limited Examplementioning

confidence: 99%

Nonlinear and Nonideal Sampling: Theory and Methods

Dvorkind

Eldar

Matusiak³

2008

IEEE Trans. Signal Process.

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“…In each of the simulations, we set B = 800 MHz and 40 ≤ F nyq ≤ 76 GHz. This choice of parameters is consistent with previous optical sampling experiments [1]. The sampling rates were chosen as F 1 = 3.8F 0 , F 2 = 4F 0 , and F 3 = 4.2F 0 , where the value F 0 varied between simulations.…”

Section: Numerical Resultsmentioning

confidence: 89%

“…Optical systems are capable of very high performance undersampling [1]. They can handle signals whose carrier frequency can be very high, on the order of 40 GHz, and signals with a dynamic range as high as 70 dB.…”

Section: Introductionmentioning

confidence: 99%

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Multirate asynchronous sampling of sparse multiband signals

2008

Self Cite

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Because optical systems have huge bandwidth and are capable of generating low noise short pulses they are ideal for undersampling multi-band signals that are located within a very broad frequency range. In this paper we propose a new scheme for reconstructing multi-band signals that occupy a small part of a given broad frequency range under the constraint of a small number of sampling channels. The scheme, which we call multi-rate sampling (MRS), entails gathering samples at several different rates whose sum is significantly lower than the Nyquist sampling rate. The number of channels does not depend on any characteristics of a signal. In order to be implemented with simplified hardware, the reconstruction method does not rely on the synchronization between different sampling channels. Also, because the method does not solve a system of linear equations, it avoids one source of lack of robustness of previously published undersampling schemes. Our simulations indicate that our MRS scheme is robust both to different signal types and to relatively high noise levels. The scheme can be implemented easily with optical sampling systems. I. INTRODUCTIONA multi-band signal is one whose energy in the frequency domain is contained in the finite union of closed intervals. A sparse signal is a signal that occupies only a small portion of a given frequency region. In many applications of radars and communications systems it is desirable to reconstruct a multi-band sparse signal from its samples. When the signal bands are centered at frequencies that are high compared to their widths, it is not cost effective and often it is not feasible to sample at the Nyquist rate F nyq ; the rate that for a real signal is equal to twice the maximum frequency of the given region in which the signal spectrum is located. It is therefore desirable to reconstruct the signal by undersampling; that is to say, from samples taken at rates significantly lower than the Nyquist rate. Sampling at any constant rate that is lower than the Nyquist rate results in down-conversion of all signal bands to a low frequency region called a baseband. This creates two problems in the reconstruction of the signal. The first is a loss of knowledge of the actual signal frequencies. The second is the possibility of aliasing; i.e. spectrum at different frequencies being down-converted to the same frequency in the baseband.Optical systems are capable of very high performance undersampling [1]. They can handle signals whose carrier frequency can be very high, on the order of 40 GHz, and signals with a dynamic range as high as 70 dB. The size, the weight, and the power consumption of optical systems make them ideal for undersampling. The simultaneous sampling of a signal at different time offsets or at different rates can be performed efficiently by using techniques based on wavelength-division multiplexing (WDM) that are used in optical communication systems.There is a vast literature on reconstructing signals from undersampled data. Landau proved that, regardles...

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RF Photonics - Why Should Defense Take Notice?

Zach¹,

Singer²

2006

2006 IEEE 24th Convention of Electrical &Amp; Electronics Engineers in Israel

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Optical sampling of narrowband microwave signals using pulses generated by electroabsorption modulators

Cited by 8 publications

References 9 publications

Nonlinear and Nonideal Sampling: Theory and Methods

Nonlinear and Nonideal Sampling: Theory and Methods

Multirate asynchronous sampling of sparse multiband signals

RF Photonics - Why Should Defense Take Notice?

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