BODE图基础
一、基本定义
Roll-Off Rate→征兵海报Decrease in gain with frequency
Decade → x10 increase or x1/10 decrease in frequency. From 10Hz to 100Hz is one decade.
Octave→ X2 increase or x1/2 decrease in frequency. From 10Hz to 20Hz is one octave
下降速率→ 增益随频率减少
十倍频程(Decade)→频率按x10增加或者x1/10豌豆射手怎么画减少,例如从10Hz到100Hz为一个十倍频程(Decade).藤镯
二倍频程(Octave)→频率按x2增加或者x1/2减少,例如从10Hz口红什么做的到20Hz为一个二倍频程(Octave).
以下推导证明了20dB/decade与 6dB/octave的等效性:
ΔA(dB) = A(dB) at fb – A(dB) at fa
ΔA(dB) = [Aol(dB) - 20log10(fb/f1)] – [Aol(dB) - 20log10(fa/f1)] (>>>????)
ΔA(dB) = Aol(dB) - 20log10(fb/f1) – Aol(dB) + 20log10(fa/f1)]
ΔA(dB) = 20log10(fa/f1) – 20Log10(fb/f1)]
ΔA(dB) = 20log10(fa/fb)
ΔA(dB) = 20log10(1k/10k) = -20dB/decade
ΔA(dB) = 20log10(fb/fc)
ΔA(dB) = 20log10(10k/20k) = -6db/octave
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