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Tham khảo tài liệu 'digital filters part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 51 The application of spectral representations in coordinates of complex frequency for digital filter analysis and synthesis oscillatory components. To express signals and filters it is sufficient to exercise the vectors of complex amplitudes and complex frequencies and also time delay vectors. For the signal and filter models mentioned above it is rational to use the spectral representations of the Laplace transform in which the damped oscillatory component is a base transform function. Three new methods of analog and digital IIR and FIR filters analysis at semi-infinite and finite input signals were presented on the basis of the research into the spectral representations features of signal and filter frequency responses in complex frequency coordinates. The advantages of offered analysis methods consist in calculation simplicity including solving problems of direct determination the performance of signal processing by frequency filters. The application of spectral representations in complex frequency coordinates enables to combine the spectral approach and the state space method for frequency filter analysis and synthesis. Spectral representations and linear system usage based on Laplace transform allow to ensure the effective solution of robust IIR and FIR filters synthesis problems. The filter synthesis problem instead of setting the requirements to separate areas of frequency response pass band and rejection band comes to dependence composition for filter transfer function on complex frequencies of input signal components. The synthesis is carried out with the growth of impulse function components number till the specified signal processing performance will be achieved. 7. References Atabekov G. I. 1978 . Theoretical Foundations of Electrical Engineering Part 1 Energiya Moscow. Blahut R. E. 1985 . Fast Algorithms for Digital Signal Processing MA Addison-Wesley Publishing Company. Gustafson J. A. 2009 . Model 1133A Power Sentinel. Power Quality. Revenue .
