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Related Concept Videos

Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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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.
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Fast two-dimensional simultaneous phase unwrapping and low-pass filtering.

Miguel A Navarro1, Julio C Estrada, M Servin

  • 1Centro de Investigaciones en Optica, Loma del bosque 115 Col. Lomas del campestre, 37150, Leon Guanajuato, Mexico.

Optics Express
|February 15, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a fast, recursive linear filter for two-dimensional (2D) phase unwrapping, offering improved theoretical understanding and stability analysis. The new algorithm provides a robust and efficient solution for 2D phase unwrapping applications.

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Area of Science:

  • Signal Processing
  • Image Analysis
  • Computational Physics

Background:

  • Previous heuristic methods for 2D phase unwrapping lacked general theoretical grounding.
  • Existing recursive systems offered noise robustness and smoothing but were not fully characterized.
  • A need exists for a theoretically sound and efficient 2D phase unwrapping algorithm.

Purpose of the Study:

  • To present a fast, recursive linear filter for two-dimensional (2D) phase unwrapping.
  • To provide a solid theoretical foundation for the 2D phase unwrapping algorithm.
  • To characterize the algorithm's frequency response and stability conditions.

Main Methods:

  • Development of a recursive linear filter algorithm for 2D phase unwrapping.
  • Analysis of the algorithm's behavior as a linear filter.
  • Investigation of frequency response and stability conditions.
  • Extension and theoretical grounding of a previously developed system.

Main Results:

  • The algorithm exhibits linear filter behavior, enabling straightforward frequency response and stability analysis.
  • An improved and better-understood version of a previous 2D recursive phase unwrapper is presented.
  • The algorithm is fully characterized in terms of its frequency response and stability.

Conclusions:

  • The presented algorithm offers a fast and theoretically well-founded approach to 2D phase unwrapping.
  • The linear filter characteristics provide valuable insights into its performance and limitations.
  • This work establishes a more robust theoretical basis for recursive 2D phase unwrapping techniques.