(2) frequency modulation (x_FM) (m(t) = 0 for t < 0).
时间: 2024-05-25 09:18:04 浏览: 11
Frequency modulation is a type of modulation in which the frequency of the carrier wave is varied in accordance with the amplitude of the modulating signal. The mathematical expression for frequency modulation is given as:
x_FM(t) = A*cos[2πf_c*t + β*sin(2πf_m*t)]
where A is the amplitude of the carrier wave, f_c is the frequency of the carrier wave, β is the modulation index (which represents the degree of frequency deviation), and f_m is the frequency of the modulating signal.
In frequency modulation, the modulating signal is used to vary the frequency of the carrier wave. When the amplitude of the modulating signal is high, the frequency of the carrier wave increases, and when the amplitude of the modulating signal is low, the frequency of the carrier wave decreases.
The modulating signal m(t) in frequency modulation is assumed to be zero for t < 0, which means that the modulation signal is applied only for positive values of time. This is a common assumption in signal processing and is made to simplify the mathematical analysis of the modulated signal.
Frequency modulation is used in a variety of applications, including radio and television broadcasting, wireless communications, and radar systems. It is preferred over other types of modulation techniques due to its ability to provide better noise immunity and wider bandwidth.
相关推荐
![rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)