| 1. | Fourier analysis is the mathematical method used to break sounds down into sine waves
傅里叶分析是将声音分解为正弦波的数学方法。 |
| 2. | The data is calculated by using the wavelet transformation and fourier transformation
利用小波分析和傅里叶分析方法对资料进行处理，分析结果表明。 |
| 3. | Discussion question : produce a plausible justification of nyquist ' s theorem based on the fourier analysis information given in the lecture
讨论问题：请根据课文中给出的傅里叶分析知识证明尼奎斯特定理。 |
| 4. | Therefore wavelet analysis is called a microscope of signal analysis and a milestone of fourier analysis . as a new embranchment of mathematics
因此，小波变换被誉为分析信号的显微镜，傅里叶分析发展史上的一个新的里程碑。 |
| 5. | This method of generating a complex sound is sometimes referred to as " fourier synthesis " , in honour of joseph fourier , the mathematician who discovered the basis of what we now call fourier analysis
为纪念约瑟夫?傅里叶（他是发现了我们现在称之为傅里叶分析的原理的数学家） ，这种生成较复杂声音的方法有时被称为“傅里叶合成” 。 |
| 6. | Because fourier analysis uses a global transformation , which all in time domain or all in frequency domain , it cannot figure out the local property time - frequency domain , which exactly is the most important property of unsteady signal
由于傅里叶分析使用的是一种全局的变换，要么完全在时域，要么完全在频域，因此无法表述信号的时频局域性质。 |
| 7. | This chapter gives comprehensive analysis from general analytic way , fourier analysis to relevant analysis of signal and analyzing the power chart . , especially form the theory talking of the signal processing
该章节从信号的一般分析方法、信号的傅里叶分析、信号的相关分析以及信号的功率谱分析，依次进行了全面的分析，从理论的角度对信号分析所进行的处理工作作了全面的阐述。 |
| 8. | Wavelet analysis is a novel mathematical theory and method proposed in 1980s . it is regarded as a breakthrough of fourier analysis because it has many wonderful characteristics . fourier analysis consists of breaking up a signal into slue waves of various frequencies
小波分析及小波变换是80年代中期发展起来的一门新兴的数学理论和方法，它被认为是傅里叶分析方法的突破性进展，它具有许多优良的特性。 |
| 9. | Chapter 2 is devoted to compare wavelet analysis and fourier analysis . the features of each element in wavelet family will be studied , and the criteria in choosing the wavelet function for different purposes will be outlined . an example is given to show how to use the relationship between the wavelet coefficient modules and the broken signal to achieve fault diagnosis
第二章简要介绍了小波分析和傅里叶分析的差异，并分析了matlab所提供的小波函数的特点，探讨了小波基选择的标准，最后用实例说明了利用小波变换后的系数模值和信号突变的关系来诊断故障。 |
| 10. | Besed on the circuit , electromagnetism and electric power electronics theories , we have done some theory research on the harmonics induced by thyristor commutate circuits of ac - dc locomotive , surge electromagnetism process . we calculate the theory content of harmonics using the fourier arithmetic under thyristor commutate and surge electrmagnetism process
论文根据电力机车类型的不同，运用电路、电磁场和电力电子学理论研究了交?直型电力机车相控整流时谐波的产生机理、励磁涌流的电磁过程，并对晶闸管相控整流和励磁涌流时的理论谐波含量进行了傅里叶分析。 |
