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Aliasing01:18

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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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Bandpass Sampling

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In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
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When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Phase retrieval in holographic data storage by expanded spectrum combined with dynamic sampling method.

Ruixian Chen1, Jianying Hao1, Jinyu Wang1

  • 1Information Photonics Research Center, College of Photonic and Electronic Engineering, Key Laboratory of Opto-Electronic Science and for Medicine of Ministry of Education, Fujian Provincial Key Laboratory of Photonics Technology, Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, 350117, China.

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Summary

This study introduces an expanded spectrum and dynamic sampling method for holographic data storage, reducing media use and accelerating phase code retrieval for higher storage density.

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Area of Science:

  • Optics and Photonics
  • Information Storage
  • Digital Imaging

Background:

  • High-fidelity phase retrieval in holographic data storage typically requires sampling at twice the Nyquist frequency.
  • This requirement limits storage density and increases computational demands.

Purpose of the Study:

  • To propose and validate a novel method for phase retrieval in holographic data storage.
  • To enhance storage density and reduce the number of iterations for phase code retrieval.
  • To demonstrate the integration of Fourier domain methods for improved system performance.

Main Methods:

  • Utilizing an expanded spectrum combined with a dynamic sampling method for phase retrieval.
  • Recording and capturing signals at Nyquist size, deviating from the traditional twice Nyquist requirement.
  • Employing the iterative Fourier transform algorithm for decoding and retrieving phase information.
  • Dynamically sampling the expanded spectrum to achieve faster convergence.

Main Results:

  • Achieved high-fidelity phase retrieval using signals recorded at Nyquist size.
  • Demonstrated reduced media consumption and fewer iterations for phase code retrieval.
  • Validated the effectiveness of combining frequency spectrum processing methods through simulations and experiments.

Conclusions:

  • The proposed expanded spectrum and dynamic sampling method significantly improves holographic data storage efficiency.
  • Integration of Fourier domain techniques offers a promising pathway for advancing holographic storage systems.
  • This approach provides a potential solution for increasing storage density and reducing retrieval time.