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csc (cosecant) periodic equation and unexpected results

user880
1#
user880 Published in June 21, 2018, 8:43 am

I can plot 1 (co-secant) every second over 2 seconds and it looks fine (the top plot). But when I plot the frequency of 100 csc (co-secant) signals I would expect / want 100 co-secant signals that are just repeating the same signal much like plotting y=.8*sin(100*t) would do but that doesn't occur what am I doing wrong? See code and plot below.

clear, clc
fs=8000
len_of_sig=2; %length of signal in seconds
t=linspace(0,2*pi*len_of_sig,fs*len_of_sig);
y_a=0.01*csc(1*t);
y_a(y_a >=1) = 1; %used to limit amplitude
y_a(y_a <=-1) = -1;

y_b=0.01*csc(100*t);
y_b(y_b >=1) = 1;
y_b(y_b <=-1) = -1;

t2=t./(2*pi); %converts time in radians to seconds
subplot(2,1,1);plot(t2(1:end),y_a(1:end));
subplot(2,1,2);plot(t2(1:end),y_b(1:end));

Ps: I'm using octave 4.0 which is like matlab

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