How to plot a smoother graph or wave?

Ok, so I'm fairly new to matlab still. So given the code below I would like to plot a given equation within the loop. Unfortunatly It is only plotting in steps of 1 for w up to 100. Thats why it doesn't look smooth. However if I put w=1:0.1:N for the for loop, it then gives an error and says must be an integer, this makes sense because y(w) says we are accessing an element in an array. So then I just put y=2*sin(2*w)/w; and there is no graph displayed, just a white empty space.

Could I create an array like w=0:0.01:100; Maybe, and then...... arrghh, I can't think right now. The code is below.

N=100;

y=2*sin(2*w)/w;

for w=1:N

         y(w)=2*sin(2*w)/w;

end;

%semilogx([1:N],y);

plot([1:N],y);

Any help would be greatly appreciated. Thank you.

Answer 1

[Star Strider]

You first approach is best, although you need to vectorise the division (use ./ instead of /). You do not need the loop:

N=100;
w=1:0.1:N;

y=2*sin(2*w)./w;

plot(w,y);

See the documentation for Array vs. Matrix Operations for details on matrix and element-wise calculations.

[Ruzam]

ahh yeah, I knew about the vectorise multiplication, however I just hadn't thought of ./ . Thank you!

[Star Strider]

My pleasure!