demonstrate fseries
Contents
square wave
d = 0.25; ck = @(k) d*sinc(k*d); t = linspace(-2,2,801); fseries(t,ck,50,2);
energy (freq) 0.248013 (time) 0.248013
triangle wave
d = 0.5; ck = @(k) d*sinc(k*d)^2; t = linspace(-2,2,801); fseries(t,ck);
energy (freq) 0.333333 (time) 0.333333
exponential wave
a = 4; ck = @(k) 1./(a+j*2*pi*k); t = linspace(-5,5,801); fseries(t,ck,100,4);
energy (freq) 0.12916 (time) 0.148098
delta function pair (cosine)
ck = @(k) 0.5*double(abs(k)==3); t = linspace(-0.5,0.5,401); fseries(t,ck);
energy (freq) 0.5 (time) 0.5
delta function pair (sine)
ck = @(k) 0.5*j*(double(k==-3) - double(k==3)); t = linspace(-0.5,0.5,401); fseries(t,ck);
energy (freq) 0.5 (time) 0.5
