分数阶Fourier域中LFM信号的研究-通信与信息系统专业论文.docxVIP

万方数据 万方数据 Ab Abstract Title: Research of LFM Signal in Fractional Fourier Transform Domain Major: Communication and Information System Graduate: Mingling Liu Signature: Supervisor: Associate prof. Gaohui Liu Signature: Abstract Traditional Fourier transform can only describe the information of signal in time domain or frequency domain, it cannot reflect the time-frequency characteristics of signal.The fractinal Fourier transform(FRFT) as a tool of analysis, put forward by the latest the transform domain both have the time domain and frequency domain information of the signal, essentially it is a generalized form of Fourier transform , it is very suitable for non-stationary signal processing. LFM signal as a common non-stationary signal, the application is very broad. Therefore, in the fractional Fourier domain, the study of LFM signal is of great significance. This article mainly study around in the fractional Fourier domain, the LFM of signal sampling ,testing and filtering the two parts, the specific research work includes: firstly analyzes the basic definition of fractional Fourier transform, nature, its relationship with other time-frequency analysis and numerical implementation. And then study the sampling theory of band-limited LFM signal in the fractional Fourier domain, through to the uniform pulse signal sampling theory analysis, derived in the fractional Fourier domain, band-limited LFM signal sampling and reconstruction theory. And in the undersampling cases, its spectrum signal aliasing conditions and at the critical rate without aliasing. The fractional Fourier transform is applied to single component and multi-component LFM signal in detection and filtering. In signal component LFM signal processing, for mixed by Gaussian white noise of the LFM signal, on the fractional Fourier domain of parameter estimation and filter out noise. In multi-component LFM signal processing, for each component strength vary widely, III 西安 西安理工大学硕士学位论文 the