瞬時頻率和時頻分布
INSTANTANEOUS FREQUENCY AND TIME-FREQUENCY DISTRIBUTIONS
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摘要: 本文首先介紹了瞬時頻率(IF)的概念和IF的傳統(tǒng)計算方法解析信號法,然后從聯(lián)合時頻分析的角度討論了IF的物理含義及其與時頻分布之間的聯(lián)系,指出二維時頻分布的任務(wù)之一是對IF進(jìn)行估計,并且通過對幾種時頻分布估計性能的比較說明分布形式的選擇對估計效果有較大影響。最后,本文提出并初步論證了自適應(yīng)旋轉(zhuǎn)投影分解法(AOP)計算IF的有效性。
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關(guān)鍵詞:
- 瞬時頻率; 時頻分布; 自適應(yīng)信號處理
Abstract: The concept of instantaneous frequency(IF) and its traditional construct method--analytic method are introduced in this paper.Then by means of joint time-frequency analysis,the fphysical meaning of IF and its relation with the time-frequency distributions are also discussed.It is pointed out that one of the destinations of 2-D time-frequency distributions is to estimate the IF,and the different distribution can be of different effect.The performances of several popular distributions are compared,consequently AOP method is found to be a suitable one to estimate the IF. -
Armstrong E. A method of reducing distributes in radio signaling by a method of frequencymodulation. Proc. IRE, 1936, 24: 669-740.[2]Carson J, et al. Variable frequency electric circuit theory with application to the thoery of frequency modulation. Bell System Tech. J, 1937, 16: 513-540.[3]Cohen L. Time-Frequency Analysis. New York: Prentice Hall, 1995, 213-231.[4]Boashash B. Time-Frequency Signal Analysis. Melbourne: Longman Cheshire, 1992, 43-73.[5]黃朝云,殷勤業(yè).時頻分析中的若干算子.西安交通大學(xué)學(xué)報,1996, 21(9):28-32.[6]Gabor D. Theory of communication. Proc. IEE, 1946, 93(111): 429-457.[7]Qian S, et al. Joint Time-Frequency Analysis. New York: Prentice Hall, 1996, 187-209.[8]殷勤業(yè),倪志芳,錢世鍔,陳大龐.自適應(yīng)旋轉(zhuǎn)投影分解法.電子學(xué)報,1997, 25(4): 52-58. -
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