Theory & Application Of Time-Frequency Analysis

Now, Time-Frequency Analysis is one of the top interests in Signal Processing, and more and more research has been put on this topic. As one of the best tools to analyze the nonstationary signals, it shows a good picture in the joint time-frequency domain and makes us know about the change of frequency along with the time clearly. The main contributions of this thesis are as follows:1. General theory of Time-Frequency Analysis is first introduced. Winger-Ville distribution, as the most important one, is mainly discussed; its concept and its characteristic are presented.2. Discuss the discrete form of Time-Frequency analysis; give the simulations of Wigner-Ville distribution and Short Time Fourier Transform under different SNR. At same time, to overcome the cross-term of WVD, Choi-Williams distribution and B-Distribution are introduced.3. Detection of signal in noise environment is one apply of WVD and XWVD. Under different SNR, compare these two ways and the traditional detection method-match filter detector.4. Instantaneous frequency is an important parameter in nonstationary signal processing. The concept and estimation methods of IF are proposed systematically and detailedly, which include: FIR Differentiator, Zero-Crossing estimation, Short Time Fourier Transform, WVD and XWVD. The estimation performance of each method is discussed and compared separately.5. Using ADSP-21160 as the hardware tool, the algorithms for Time Frequency Analysis, especially for WVD, is implemented.