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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-carg-conjugate

z_list:[3 + %i, %i, 2...

carg(z_list);

conjugate(z_list);

Calculate

cabs-pickapart-solve

eq1: 10 = cabs(%i*w*(...

w:solve(eq1,w);

pickapart(w,1);

Calculate

cabs-carg-fpprintprec-load-makelist-plot2d-sin
plot2d([discrete, makelist(2*i*%pi/sample, i, 0, sample - 1), S]);

load (fft) ;

sample : 32;

fpprintprec : 4 ;

Calculate

cabs-pi-ratsimp-realpart

pi:3.1415926535897932...

Z:45+%i*18;

phe:2*pi*70*0.07;

Calculate

cabs-carg-exp-imagpart-polarform-realpart-sqrt

z:1+%i*sqrt(3);

polarform(z);

a:realpart(z);

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz2(exp(f_to_w(%i*f)/48000)))], [f,10,24000], [logx, true]);

load("log10");

f_to_w(f):= 2*%pi*f;

sdomain(s):= 20*log10...

Calculate

cabs-carg-float

w: 3*%pi/25;

z3: 2*w*%i;

v3: 170;

Calculate

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

load("log10");

f_to_w(f):= 2*%pi*f;

sdomain(s):= 20*log10...

Calculate