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Makale detayı · 1997

Optimal filtering in fractional Fourier domains

Dergi

IEEE Transactions on Signal Processing
OpenAlex SJR Q1 JCR Q1 Atıf 297 Üst %1 Yüzdelik 99.7% FWCI 13.42
Yıl
1997
DOI
10.1109/78.575688
Tür
article

Veri kaynağı ayrımı

  • YÖKSİS dergi adı IEEE Transactions on Signal Processing
  • OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)

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Özet

OpenAlex · İngilizce

For time-invariant degradation models and stationary signals and noise, the classical Fourier domain Wiener filter, which can be implemented in O(N log N) time, gives the minimum mean-square-error estimate of the original undistorted signal. For time-varying degradations and nonstationary processes, however, the optimal linear estimate requires O(N/sup 2/) time for implementation. We consider filtering in fractional Fourier domains, which enables significant reduction of the error compared with ordinary Fourier domain filtering for certain types of degradation and noise (especially of chirped nature), while requiring only O(N log N) implementation time. Thus, improved performance is achieved at no additional cost. Expressions for the optimal filter functions in fractional domains are derived, and several illustrative examples are given in which significant reduction of the error (by a factor of 50) is obtained.

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297 atıf

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Yerel katalogda bu makaleye atıf yapan 43 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).

  1. The discrete fractional Fourier transform 2000 Atıf 679 · OpenAlex
  2. The fractional fourier transform 2001 Atıf 567 · OpenAlex
  3. Optimal filtering with linear canonical transformations 1997 Atıf 206 · OpenAlex
  4. Introduction to the Fractional Fourier Transform and Its Applications 1999 Atıf 160 · OpenAlex
  5. Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration 1999 Atıf 96 · OpenAlex
  6. Beamforming using the fractional Fourier transform 2003 Atıf 83 · OpenAlex
  7. Optimal image restoration with the fractional Fourier transform 1998 Atıf 72 · OpenAlex
  8. On the Estimation of LFM Signal Parameters: Analytical Formulation 2018 Atıf 65 · OpenAlex
  9. Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class 1996 Atıf 63 · OpenAlex
  10. Fractional Fourier transform pre-processing for neural networks and its application to object recognition 2002 Atıf 53 · OpenAlex

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