A generalized concept of frequency and some applications
A generalized concept of frequency and some applications
复制标题
频率的一般概念和一些应用
DOI：
10.1109/tit.1968.1054158
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发表时间：
1968
期刊：
影响因子：
--
通讯作者：
H. Harmuth
中科院分区：
文献类型：
--
作者：
H. Harmuth
正弦和余弦函数系统在通信中历史上已被区分。每当使用术语频率时，都隐含地提到这些函数;因此，通常使用的通信理论是基于正弦和余弦函数的系统。近年来，其他完整的正交函数系统已被用于理论研究以及设备设计。类似傅里叶级数，傅里叶变换，频率，功率谱，振幅，相位和频率调制存在许多系统的正交函数。这就意味着传播理论可以在这些系统的基础上发展出来。这些理论中的大多数只是学术性的。然而，对于正交沃尔什函数的完整系统，用现代半导体技术实现电路在许多应用中与实现正弦和余弦函数系统的电路似乎是有竞争力的。
The system of sine and cosine functions has been distinguished historically in communications. Whenever the term frequency is used, reference is made implicitly to these functions; hence the generally used theory of communication is based on the system of sine and cosine functions. In recent years other complete systems of orthogonal functions have been used for theoretical investigations as well as for equipment design. Analogs to Fourier series, Fourier transform, frequency, power spectra, and amplitude, phase, and frequency modulation exist for many systems of orthogonal functions. This implies that theories of communication can be worked out on the basis of these systems. Most of these theories are of academic interest only. However, for the complete system of the orthogonal Walsh functions, the implementation of circuits by modem semiconductor techniques appears to be competitive in a number of applications with the implementation of circuits for the system of sine and cosine functions.