<姆斯>DIGITAL FILTERS & SIGNAL PROCESSING 3/E 1996
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書名:Elements of Discrete Mathematics 2/e 作者:LIU 出版社:McGraw-Hill 出版日期:1985/00/00 ISBN:9780071005449 內容簡介 This book presents a selection of topics from set theory, combinatorics, graph theory, and algebra which were been considered as basic and useful to students in Applied Mathematics, Computer Seience, and Engineering. It's intended to be a textbook for a course in Discrete Mathematics at the sophomore-junior level, although it can also be used in a freshman-level course since the presentation does not assume any background beyond high-school mathematics. 目錄 1. Sets and Propositions 2. Computability and Formal Languages 3. Permutations, Combinations, and Discrete Probability 4. Relations and Functions 5. Graphs and Planar Graphs 6. Trees and Cut-Sets 7. Finite State Machines 8. Analysis of Algorithms 9. Discrete Numberic Functions and Generating Functions 10. Recurrence Relations and Recursive Algorithms 11. Groups and Rings 12. Boolean Algebras
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【簡介】 ●Practical applications include examples, over 500 homework problems, and computer problems. ●Describes techniques to convert analog signals, the analysis of linear time-invariant discrete-time systems and signals in the time domain, and bilateral and unilateral z-transform methods. ●Analyzes signals and systems in the frequency domain, the Fourier series and transform in continuous- and discrete-time signals, and the sampling and reconstruction of continuous-time signals. ●Examines realizations of IIR and FIR systems and techniques to design digital filters. ●Looks at sampling-rate conversion and applications to multirate digital signal processing. ●Discusses linear prediction, optimum linear filters and single-channel adaptive filers based on the LMS and RLS algorithms. 【目錄】 1.Introduction 2.Discrete-Time Signals and Systems 3.The z-Transform and Its Application to the Analysis of LTI Systems 4.Frequency Analysis of Signals 5.Frequency-Domain Analysis of LTI Systems 6.Sampling and Reconstruction of Signals 7.The Discrete Fourier Transform: Its Properties and Applications 8.Efficient Computation of the DFT: Fast Fourier Transform Algorithms 9.Implementation of Discrete-Time Systems 10.Design of Digital Filters 11.Multirate Digital Signal Processing 12.Multirate Digital Filter Banks and Wavelets 13.Linear Prediction and Optimum Linear Filters 14.Adaptive Filters 15.Power Spectrum Estimation A Random Number Generators B Tables of Transition Coefficients for the Design of Linear-Phase FIR Filters Answers to Selected Problems
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