指數(shù)遺忘分布性能分析
Analysis of Exponentially Forgetting Distribution
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摘要: 該文分析討論了指數(shù)遺忘變換(EFT)的信號(hào)瞬時(shí)頻率表示性能。EFT采用單邊指數(shù)窗口對(duì)信號(hào)進(jìn)行采樣和加權(quán)，因而可以利用迭代運(yùn)算提高計(jì)算效率。與其他時(shí)頻表示方法相比，EFT在處理較大長(zhǎng)度的數(shù)據(jù)時(shí)具有優(yōu)勢(shì)，且更易于利用硬件實(shí)現(xiàn)。該文對(duì)EFT的瞬時(shí)頻率表示偏差、均方差值的統(tǒng)計(jì)特性與信噪比及遺忘系數(shù)的關(guān)系進(jìn)行了分析，給出了相應(yīng)的仿真結(jié)果。同時(shí)為克服單邊指數(shù)窗口的缺陷，提出了采用對(duì)稱(chēng)窗口的雙邊指數(shù)遺忘分布的計(jì)算形式，該方法在保持原有指數(shù)遺忘分布計(jì)算效率較高的優(yōu)點(diǎn)的同時(shí)能夠大大減小瞬時(shí)頻率的表示偏差。
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關(guān)鍵詞:
- 信號(hào)分析;單邊指數(shù)窗口;迭代運(yùn)算;偏差
Abstract: The analysis of exponentially forgetting transform (EFT) is made in this paper. The application of a sliding single-sided exponential window, make it possible the iterative operation in EFT which greatly raises computation efficiency. Compared with other time-frequency distributions, EFT is especially useful in case of large data length and more suitable for hardware implementation. The relationships of bias and mean square error of EFT with SNR and forgetting coefficient are studied. And in order to overcome the drawbacks of single-sided window, a new time-frequency distribution using double-sided exponential window which is computation efficient with much bias reduction is introduced. -
Rao P, Taylor F J. Estimation of instantaneous frequency using the discrete Wigner distribution[J].IEEE Electronics Letters.1990,26(4):246- -
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