Second-order time-frequency synthesis of nonstationary randomprocesses

Hlawatsch F.; Kozek W.

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Second-order time-frequency synthesis of nonstationary randomprocesses

机译：非平稳随机过程的二阶时频合成

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We present time-frequency methods for the synthesis offinite-energy, nonstationary random processes. The energeticcharacteristics of the process to be synthesized are specified in ajoint time-frequency domain via a time-frequency model function. Thesynthesis methods optimize the autocorrelation function of the processsuch that the process'' Wigner-Ville spectrum is closest to the givenmodel function. An optional signal subspace constraint allows theincorporation of additional properties such as bandlimitation and alsopermits the reformulation of the synthesis methods in a discrete-timesetting. The synthesized process is expressed either in terms of anorthonormal basis of the constraint subspace or via its Karhunen-Loeveexpansion. An example involving the prolate spheroidal functions isgiven, and computer simulation results are provided

机译：我们提出了时频方法，用于合成有限能量，非平稳随机过程。通过时频模型函数在时频联合域中指定要合成的过程的能量特征。综合方法优化了过程的自相关函数，以使过程的维格纳-维勒光谱最接近给定的模型函数。可选的信号子空间约束允许合并其他属性（例如，带宽限制），并且还允许在离散时间设置中重新构造合成方法。合成过程可以用约束子空间的正交标准来表示，也可以通过其Karhunen-Loeve展开来表示。给出了一个涉及球状函数的例子，并提供了计算机仿真结果

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《IEEE Transactions on Information Theory》 |1995年第1期|p.255-267|共13页
作者
Hlawatsch F.; Kozek W.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
correlation methods; frequency-domain synthesis; functions; random processes; signal processing; signal synthesis; spectral analysis; time-domain synthesis; Karhunen-Loeve expansion; Wigner-Ville spectrum; autocorrelation function; bandlimitation; computer simulatio;

机译：相关方法;频域合成;函数;随机过程;信号处理;信号合成;频谱分析;时域合成;Karhunen-Loeve展开;Wigner-Ville频谱;自相关函数;带宽限制;计算机仿真;

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专利

1. Second-order time-frequency synthesis of nonstationary random processes [J] . Hlawatsch F., Kozek W. IEEE Transactions on Information Theory . 1995,第1期

机译：非平稳随机过程的二阶时频合成
2. The discrete Zak transform application to time-frequency analysis and synthesis of nonstationary signals [J] . Auslander L., Gertner I.C. IEEE Transactions on Signal Processing . 1991,第4期

机译：离散Zak变换在非平稳信号时频分析和合成中的应用
3. Time-frequency analysis of nonstationary vibration signals for deployable structures by using the constant-Q nonstationary gabor transform [J] . Tao Liu, Shaoze Yan, Wei Zhang Mechanical systems and signal processing . 2016,第Juna期

机译：常数Q非平稳gabor变换用于可展开结构非平稳振动信号的时频分析。
4. Broadband nonstationary interference excision for spread spectrum communications using time-frequency synthesis [C] . Lach, S.R., Amin, . 1998

机译：时频合成用于扩频通信的宽带非平稳干扰切除
5. Joint time-frequency representations of nonstationary signals. [D] . Al-Nimrat, Ahmad M. 2003

机译：非平稳信号的联合时频表示。
6. Time-frequency characterization of interdependencies in nonstationary signals: application to epileptic EEG [O] . Karim Ansari-Asl, Jean-Jacques Bellanger, Fabrice Bartolomei, -1

机译：非平稳信号中相互依赖性的时频表征：在癫痫脑电图中的应用
7. Parameters selection for optimising time-frequency distributions and measurements of time-frequency characteristics of nonstationary signals [O] . Sucic Victor 2004

机译：优化时频分布的参数选择和非平稳信号时频特性的测量

Second-order time-frequency synthesis of nonstationary randomprocesses

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