Pub Date : 2018-10-08DOI: 10.1201/9781315219134-17
{"title":"Passive Circuit Elements","authors":"","doi":"10.1201/9781315219134-17","DOIUrl":"https://doi.org/10.1201/9781315219134-17","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115567767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1201/9781315219134-14
{"title":"Theory of Two-Dimensional Hurwitz Polynomials","authors":"","doi":"10.1201/9781315219134-14","DOIUrl":"https://doi.org/10.1201/9781315219134-14","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128398136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1201/9781315219134-15
{"title":"Application of Symmetry: Two-Dimensional Polynomials, Fourier Transforms, and Filter Design","authors":"","doi":"10.1201/9781315219134-15","DOIUrl":"https://doi.org/10.1201/9781315219134-15","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130634618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.2991/978-94-6239-009-6_4
C. Chui, Qingtang Jiang
Spectral methods based on the singular value decomposition (SVD) of the data matrix, as studied in the previous chapter, Chap. 3, apply to the physical (or spatial) domain of the data set. In this chapter, the concepts of frequency and frequency representation are introduced, and various frequency-domain methods along with efficient computational algorithms are derived. The root of these methods is the Fourier series representation of functions on a bounded interval, which is one of the most important topics in Applied Mathematics and will be investigated in some depth in Chap. 6. While the theory and methods of Fourier series require knowledge of mathematical analysis, the discrete version of the Fourier coefficients (of the Fourier series) is simply matrix multiplication of the data vector by some (n times n) square matrix (F_n). This matrix is called the discrete Fourier transformation (DFT), which has the important property that with the multiplicative factor of (1over {sqrt{n}}), it becomes a unitary matrix, so that the inverse discrete Fourier transformation matrix (IDFT) is given by the (1over {n})- multiple of the adjoint (that is, transpose of the complex conjugate) of (F_n). This topic will be studied in Sect. 4.1.
如前一章第3章所研究的，基于数据矩阵奇异值分解(SVD)的谱方法适用于数据集的物理(或空间)域。在本章中，介绍了频率和频率表示的概念，并推导了各种频域方法以及有效的计算算法。这些方法的根是函数在有界区间上的傅里叶级数表示，这是应用数学中最重要的主题之一，将在第6章中进行深入的研究。虽然傅里叶级数的理论和方法需要数学分析的知识，但傅里叶系数的离散版本(傅里叶级数)只是数据向量与一些(n times n)方阵(F_n)的矩阵乘法。这个矩阵被称为离散傅里叶变换(DFT)，它具有一个重要的性质，即随着(1over {sqrt{n}})的乘法因子，它变成了一个酉矩阵，因此离散傅里叶逆变换矩阵(IDFT)由(F_n)的伴随矩阵(即复共轭矩阵的转置)的(1over {n})倍给出。本主题将在4.1节中进行研究。
{"title":"Frequency-Domain Methods","authors":"C. Chui, Qingtang Jiang","doi":"10.2991/978-94-6239-009-6_4","DOIUrl":"https://doi.org/10.2991/978-94-6239-009-6_4","url":null,"abstract":"Spectral methods based on the singular value decomposition (SVD) of the data matrix, as studied in the previous chapter, Chap. 3, apply to the physical (or spatial) domain of the data set. In this chapter, the concepts of frequency and frequency representation are introduced, and various frequency-domain methods along with efficient computational algorithms are derived. The root of these methods is the Fourier series representation of functions on a bounded interval, which is one of the most important topics in Applied Mathematics and will be investigated in some depth in Chap. 6. While the theory and methods of Fourier series require knowledge of mathematical analysis, the discrete version of the Fourier coefficients (of the Fourier series) is simply matrix multiplication of the data vector by some (n times n) square matrix (F_n). This matrix is called the discrete Fourier transformation (DFT), which has the important property that with the multiplicative factor of (1over {sqrt{n}}), it becomes a unitary matrix, so that the inverse discrete Fourier transformation matrix (IDFT) is given by the (1over {n})- multiple of the adjoint (that is, transpose of the complex conjugate) of (F_n). This topic will be studied in Sect. 4.1.","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116456770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bilinear Operators and Matricies","authors":"","doi":"10.1201/9781315219134-7","DOIUrl":"https://doi.org/10.1201/9781315219134-7","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122853062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1201/9781315219134-23
R. S. Carson
A comprehensive text/reference introducing the basic techniques of circuit analysis and design as applied to the operation of high frequency amplifiers. Emphasizes the Smith chart, the immittance chart, and scattering parameters. Includes exercises, problems, worked case studies and practical examples. Introduces new procedures for the biasing circuits of bipolar transistors, considering those circuits which use collector feedback with and without a Zener diode in the feedback path and a popular active biasing circuit. Analyzes the oscillatory condition caused by such biasing techniques.
{"title":"High-Frequency Amplifiers","authors":"R. S. Carson","doi":"10.1201/9781315219134-23","DOIUrl":"https://doi.org/10.1201/9781315219134-23","url":null,"abstract":"A comprehensive text/reference introducing the basic techniques of circuit analysis and design as applied to the operation of high frequency amplifiers. Emphasizes the Smith chart, the immittance chart, and scattering parameters. Includes exercises, problems, worked case studies and practical examples. Introduces new procedures for the biasing circuits of bipolar transistors, considering those circuits which use collector feedback with and without a Zener diode in the feedback path and a popular active biasing circuit. Analyzes the oscillatory condition caused by such biasing techniques.","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123841214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1016/s0074-6142(00)80021-2
Harold H. Szu
{"title":"Wavelet Transforms","authors":"Harold H. Szu","doi":"10.1016/s0074-6142(00)80021-2","DOIUrl":"https://doi.org/10.1016/s0074-6142(00)80021-2","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127042105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1007/978-0-585-26829-3_3
Xiangyu Zhang
{"title":"Symbolic Analysis","authors":"Xiangyu Zhang","doi":"10.1007/978-0-585-26829-3_3","DOIUrl":"https://doi.org/10.1007/978-0-585-26829-3_3","url":null,"abstract":"","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122647362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-08DOI: 10.1201/9781315219134-22
Hassan Aboushady
These are common components in conditioning circuits.
这些是调节电路中常见的元件。
{"title":"Operational Amplifiers","authors":"Hassan Aboushady","doi":"10.1201/9781315219134-22","DOIUrl":"https://doi.org/10.1201/9781315219134-22","url":null,"abstract":"These are common components in conditioning circuits.","PeriodicalId":119971,"journal":{"name":"Fundamentals of Circuits and Filters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126151379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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