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数式の練習①一次ローパス・フィルタ

Last updated at Posted at 2022-01-05

 数式の練習です。

#一次ローパス・フィルタ

          一次ローパス・フィルタ 回路図       
ファイル名
  伝達関数   
     $T(s)=\frac{1}{1+sT_{C1R1}}$    
 $( T_{C1R1}は時定数。 s はラプラス変数。 jω はsとする ) $
     TeXの記述   
     $T(s)=\frac{1}{1+sT_{C1R1}}$    

###matlab

numerator = 1;
C1=0.0001;
R1=1000;
denominator = [C1*R1,1];
sys = tf(numerator,denominator)

h = bodeplot(sys);
p = getoptions(h);
p.FreqUnits = 'Hz';
setoptions(h,p)
grid on

stepplot(sys);
h = nyquistplot(sys);

 実行例です。

2022-01-04 (5).png

2022-01-04 (7).png

###LTspice

ファイル名

####環境
matlab R2021b update1(ホームライセンス)、tr関数はControl System Toolboxが必要。ラプラス関数のSymbolic Math Toolboxはホームライセンスでは購入できない。

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