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The Algorithm and Structure for Digital Normalized Cross-Correlation by Using First-Order Moment.

Chao Pan1, Zhicheng Lv1, Xia Hua2

  • 1School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China.

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Summary
This summary is machine-generated.

This study introduces a novel algorithm for digital normalized cross-correlation, simplifying calculations and reducing multiplications. A new systolic structure is also presented for efficient hardware implementation.

Keywords:
fast algorithmfirst-order momentmultiplication complexitynormalized cross-correlationsystolic array

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Area of Science:

  • Digital Signal Processing
  • Algorithm Development
  • Hardware Implementation

Background:

  • Normalized cross-correlation is a key mathematical tool in digital signal processing.
  • Existing methods may have limitations in computational efficiency and hardware implementation.

Purpose of the Study:

  • To present a new, efficient algorithm for digital normalized cross-correlation.
  • To develop a novel systolic structure for fast hardware implementation.
  • To reduce computational complexity, particularly multiplications and additions.

Main Methods:

  • Transforming normalized cross-correlation into a formula based on the first-order moment.
  • Utilizing a fast algorithm for computing the first-order moment.
  • Designing a systolic array architecture for the proposed algorithm.

Main Results:

  • A fast algorithm for arbitrary-length digital normalized cross-correlation with fewer multiplications.
  • A systolic array for normalized cross-correlation with reduced multiplier usage.
  • Improved algorithm and systolic array with reduced addition complexity.

Conclusions:

  • The proposed algorithm offers a simpler procedure and fewer multiplications for digital normalized cross-correlation.
  • The developed systolic array enables fast and efficient hardware implementation.
  • The method demonstrates superior performance compared to existing algorithms and structures.