商品描述
Signals, Systems, Transforms, and Digital Signal Processing with MATLAB® has as its principal objective simplification without compromise of rigor. Graphics, called by the author, "the language of scientists and engineers", physical interpretation of subtle mathematical concepts, and a gradual transition from basic to more advanced topics are meant to be among the important contributions of this book.
After illustrating the analysis of a function through a step-by-step addition of harmonics, the book deals with Fourier and Laplace transforms. It then covers discrete time signals and systems, the z transform, continuous- and discrete-time filters, active and passive filters, lattice filters, and continuous- and discrete-time state space models. The author goes on to discuss the Fourier transform of sequences, the discrete Fourier transform, and the fast Fourier transform, followed by Fourier-, Laplace, and z-related transforms, including Walsh–Hadamard, generalized Walsh, Hilbert, discrete cosine, Hartley, Hankel, Mellin, fractional Fourier, and wavelet. He also surveys the architecture and design of digital signal processors, computer architecture, logic design of sequential circuits, and random signals. He concludes with simplifying and demystifying the vital subject of distribution theory.
Drawing on much of the author’s own research work, this book expands the domains of existence of the most important transforms and thus opens the door to a new world of applications using novel, powerful mathematical tools.
商品描述(中文翻譯)
《信號、系統、變換與 MATLAB® 數位信號處理》主要目標是在不妥協嚴謹性的情況下進行簡化。書中所稱的圖形是「科學家和工程師的語言」，對微妙數學概念的物理解釋，以及從基本主題逐漸過渡到更高級主題，都是本書的重要貢獻之一。
在通過逐步添加諧波來說明函數分析之後，本書討論了傅立葉變換和拉普拉斯變換。接著涵蓋了離散時間信號和系統、z 變換、連續和離散時間濾波器、主動和被動濾波器、格子濾波器，以及連續和離散時間狀態空間模型。作者接著討論了序列的傅立葉變換、離散傅立葉變換和快速傅立葉變換，然後介紹了與傅立葉、拉普拉斯和z 相關的變換，包括 Walsh–Hadamard、廣義 Walsh、Hilbert、離散餘弦、Hartley、Hankel、Mellin、分數傅立葉和小波。作者還調查了數位信號處理器的架構和設計、計算機架構、順序電路的邏輯設計以及隨機信號。最後，他簡化並揭開了分佈理論這一重要主題的神秘面紗。
本書基於作者的許多研究工作，擴展了最重要變換的存在範疇，從而為使用新穎且強大的數學工具開啟了一個全新的應用世界。
