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The Maxima on-line user's manual

Algebra Calculator

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Cabs

Function: cabs (<expr>) Returns the complex absolute value (the complex modulus) of <expr>.

load("log10");
H(s):= 1/(s/f_to_w(1000)+1);
H(z):= 0.1*z^-1 + 0.5*z^-2;
f_to_w(f):= 2*%pi*f;
sdomain(s):= 20*log10(cabs(s));
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz(exp((%pi*%i*f)/48000)))], [f,10,24000], [logx, true]);

(%o1)                                true
(%i2) 

Related Examples

cabs-rectform

z1:1+%i*1;

z2:1-%i*2;

z3:4+%i*5;

Calculate

cabs-carg-numer-pi-ratsimp

pi:3.1415926535897;

Z12:1000*%e^(%i*(9.81...

Z23:500*%e^(%i*(88*pi...

Calculate

cabs-carg-ev-load-log-numer-plot2d
plot2d(20 * log(cabs(T( %i * 2 * %pi * 10^x))) / log(10), [x,1,6]);

V_in:24;

R_c1:330;

C_c1:6.8*10^-6;

Calculate

cabs-carg-fpprintprec-load-makelist-plot2d-sin
plot2d([discrete, makelist(i*%pi/32, i, 0, 63), S]);

load (fft) ;

fpprintprec : 4 ;

X : makelist(i*%pi/32...

Calculate

cabs-realpart-sqrt

x: (((-2)+%i*(-2)*(sq...

y: 2^36;

z: x/y;

Calculate

cabs-exp-plot3d-realpart-sum
plot3d([realpart(f(z)),cabs(g(z)),[x,0,1],[y,0,1]]);

z:x+%i*y;

f(z):=exp(z);

g(z):=sum((z^n)/n!,n,...

Calculate

cabs

zl : rl+%i*xl;

zs : rs+%i*xs;

cabs(zl/(zl+zs))^2;

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz(exp(%i*f/48000)))], [f,10,24000], [logx, true]);

load("log10");

H(s):= 1/(s/f_to_w(10...

H(z):= 1/((z-0.9)*(z-...

Calculate