How to code these two signals

I have two signal need to write a program in picture, in which v(t) is uniformaly distributed within[0,0.1] over the interval [0,20].where a=0.2 and l=5. Can anybody help me to write a code for this???

[Muhammad Atif]

where a=0.2 and l=5

Answer 1

[Ameer Hamza]

Try this

rng(0);
t = linspace(0,20,1000);
a = 0.2;
l = 5;
v = 0.1*rand(size(t));

w = zeros(size(t));
mask = 5 < t & t < 5+l./v;
w(mask) = a*pi*v(mask)/l.*sin(2*pi*v(mask)/l.*t(mask));
plot(t,w)

[Muhammad Atif]

thanks for your response, Can I use like this w = a*pi*v/l.*sin(2*pi*v/l.*mask). Since v is already defined over 't', and 'mask' is defined for 'w'

[Ameer Hamza]

You can write it like this

w = a*pi*v/l.*sin(2*pi*v/l.*t).*mask;

[Muhammad Atif]

hi sir! I want to plot a uniformely distributed random noise between [0,0.1] for the interval 0 to 20 and the whole interval is 0 to 30? I'm trying to run this code but did not give any plot. Can you tell me where I made the mistake???

t1 = linspace(0,30,1000);
r=zeros(size(t1));
if t1>=0 & t1<=20
r = r = 0.1*rand(size(t1));
end
plot(t1,r)

[Ameer Hamza]

try this

t1 = linspace(0,30,1000);
r = 0.1*rand(size(t1));
r = r.*(t1<20);
plot(t1,r)