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所在平台: Udemy |
课程主页: https://www.udemy.com/course/digital-signal-processing-h/
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课程名称：数字信号处理 课程概述：本课程介绍离散时间信号与系统的基本概念，包括数字信号处理（DSP）技术的基础和优势。学习内容涵盖采样定理、模拟至数字（A/D）及数字至模拟（D/A）转换、量化，以及基础的离散时间序列。学生将掌握离散时间系统的描述、表示和分类（线性、时不变、静态、因果和稳定性），并分析离散时间线性时不变（DTLTI）系统。 课程内容包括卷积和卷积性质的分析、因果LTI系统的稳定性、阶跃响应、差分方程及其解法，以及LTI递归系统的冲激响应。接下来，课程将介绍z变换及其在LTI系统分析中的应用，包括z变换的定义、性质、逆z变换的求解、瞬态和稳态响应、因果性与稳定性等内容，并讨论极点-零点消除和Schur-Cohn稳定性测试。 Fourier变换、离散傅里叶变换（DFT）及快速傅里叶变换（FFT）也将被系统讲解，包括傅里叶变换的定义及性质、与z变换的关系，以及DFT的性质与循环卷积，学习DFT计算的快速算法（radix-2和radix-4 FFT算法）。 课程还涵盖数字滤波器的设计，滤波器分类（低通、高通、带通、有限脉冲响应（FIR）和无限脉冲响应（IIR）滤波器），以及FIR和IIR滤波器的设计方法，包括使用窗函数和频率抽样法设计FIR滤波器，利用导数近似、脉冲不变变换、双线性变换和匹配z变换设计IIR滤波器，常用模拟滤波器实例。 最后，课程将探讨离散时间系统的实现，包括FIR滤波器的实现结构（直接形式、级联形式、频率抽样和格型结构）、IIR滤波器的实现（直接形式、信号流图和转置结构、级联形式、格型和格型梯级）。 本课程提供深入的数字信号处理理论与实践应用知识，适合希望在信号处理领域深入发展的学习者。
Discrete -Time Signals and Systems: Introduction to DSP, Advantages, basic elements of DSP system, sampling theorem, A/D, D/A conversion, quantization. Elementary discretetime sequences. Discrete-time systems: description, representation, classification (linear, timeinvariant, static, casual, stable)Analysis of DTLTI systems: The convolution sum, properties of convolution, Analysis of causal LTI systems, stability of LTI systems, step response of LTI systems, difference equation, recursive & non recursive discrete time systems, solution of difference equations, Impulse response of LTI recursive system. Correlation of discrete time signalsz- Transform and Analysis of LTI Systems: Definition of z- Transform, properties, rational z-Transforms, evaluation of the inverse z- Transforms, analysis of linear time invariant systems in z-domain, transient and steady-state responses, causality, stability, pole-zero cancellation, the Schur-Cohn stability testFourier Transforms, the DFT and FFT: Definition & properties of Fourier transform, relation with z-transform. Finite duration sequences and the discrete Fourier transform(DFT), properties, circular convolution, Fast algorithms for the computation of DFT: radix-2 and radix4 FFT algorithmsDesign of Digital Filters: Classification of filters: LP, HP, BP, FIR and IIR filters, filter specifications. Design of FIR filters using Windows and by Frequency sampling methods. Design of IIR filters from Analog filters using approximation of derivatives, Impulse invariant transformation, Bilinear transformation and Matched z-Transformation, Commonly used Analog filters and IIR Filter design exampleRealization of Discrete-Time systems: Structures for realization of Discrete-Time systems, realization of FIR systems: Direct Form, Cascade Form, Frequency sampling and Lattice structures. Realization of IIR filters: Direct Form, Signal flow graph and Transposed structures, Cascade form, Lattice and Lattice ladder. Realization for IIR systems
