In this chapter we continue our introduction to circuit analysis by studying periodic functions in both the time and frequency domains. Any periodic function may be represented as the sum of an infinite number of sine and cosine functions which are harmonically related. The response of the linear network to the general periodic forcing function may be obtained by superposing the partial responses

We consider each term of the Fourier aeries representing the voltage as a single source. The equivalent impedance of the network at no is used to compute the current at that harmonic. XL(n) =noL and XC() =-1/noC The sum of these individual responses is the total response i

长期以来,快速傅氏变换(Fast Fourier Transform)和离散小波变换(Discrete Wavelet Transform)在数字信号处理、石油勘探、地震预报、医学断层诊断、编码理论

一、三角级数: 1.背景: (1)波的分析:频谱分析.基频(T=2).倍频

THE MATHEMATICS OF NMR EX ons Trigonometric Functions Differentials and Integral Coordinate Transformations Convolutions Imaginary Numbers The Fourier transform tial Functions

一、问题的提出 二、三角级数三角函数系的正交性 三、函数展开成傅里叶级数 四、小结思考题

一、基本概念 Fourier级数定义:设f(x)是(-∞,+∞)上以2为周期的函数,且f(x)在[-n,]上绝对可积,称形如

在早期的连续波(CW)谱仪上多重 共振指除了观测用的射频场,另外 再加上其他照射场,若另加一个射 频场,称为双共振实验 现代的脉冲 Fourier变换谱仪上多重 共振是指核磁实验中施加针对不同 核的射频脉冲,在采集信号时也可 加上其他照射场

一、正交分解和随机信号的表示 二、随机信号的 Fourier正交分解 三、随机信号的K-L正交分解

一、问题的提出 二、解决问题的思路与方法 三、基2时间抽取FFT算法 四、基2时间抽取FFT算法的计算复杂度 五、基2时间抽取FFT算法流图规律 六、基2频率抽取FFT算法 七、FFT算法的实际应用