Hegazi Abidi书的问题,关于PM和AM噪声
时间:10-02
整理:3721RD
点击:
在第3页,题目是:Additive white noise in LC oscillator
里面有个公式:
s(t)=A*sin(w0t)+a*sin((w0+wn)t+p)后面一项是white noise噪声
re-written to :
s(t)=A*sin(w0t)+a/2*sin((w0+wn)t+p)+a/2*sin((w0-wn)t-p)
+a/2*sin((w0+wn)t+p)-a/2*sin((w0-wn)t-p)
The first three terms constitute an amplitude modulated carrier with the modulating tones at wn. The last two terms together with the carrier ,approximate a narrow band phase modulation signal.
意思是不是:前三项是在wn的幅度调制,后两项加载波是一个窄带的相位调制
怎么看出来这个结论的呢?为什么前面是幅度,后面是相位呢,而且是窄带的?
里面有个公式:
s(t)=A*sin(w0t)+a*sin((w0+wn)t+p)后面一项是white noise噪声
re-written to :
s(t)=A*sin(w0t)+a/2*sin((w0+wn)t+p)+a/2*sin((w0-wn)t-p)
+a/2*sin((w0+wn)t+p)-a/2*sin((w0-wn)t-p)
The first three terms constitute an amplitude modulated carrier with the modulating tones at wn. The last two terms together with the carrier ,approximate a narrow band phase modulation signal.
意思是不是:前三项是在wn的幅度调制,后两项加载波是一个窄带的相位调制
怎么看出来这个结论的呢?为什么前面是幅度,后面是相位呢,而且是窄带的?
用和差化积写出最后的表达式 看频率落在哪里