How create a signal?

Hi my english is not good but i will try.

i need create the next signal:

m2(t)=u(t+1)+6*u(t-3)-10*u(t-6)

u(t):impluse of amplitude equal 1

how i cant do it?

well after i need modulate... but i dont need help in that.

thx :)

[Azzi Abdelmalek]

what about the width of your pulse, or are you working with discret time?

[Felipe Farias]

well i use a widht very small... but in discrete time would be better.

PD: thx for function

[Azzi Abdelmalek]

if the pulse had a width(even with eps width) that means it's continuous. Check my answer, you can set the width and the amplitude

Answer 1

[Azzi Abdelmalek]

save this function

function p= puls(w,A,t)
% w:pulse width
% A:pulse amplitude
% t:time vector
n=length(t);
p=zeros(1,n);
idx=find(abs(t)<=w/2)
p(idx)=A

then call in your m file call the function

w=4            % the width of your pulse
A=1            % the Amplitude of your pulse
t=-10:0.01:10; % time vector
m2=puls(w,A,t+1)+6*puls(w,A,t-3)-10*puls(w,A,t-6)

Answer 2

[Wayne King]

Your signal is just a superposition (sum) of shifted unit step sequences.

For t = -1,0,1,2 m2(t) = 1

For t = 3,4,5 m2(t) = 7

For t = 6,7,8,9,...

m2(t) = -3

   u1 = ones(100,1);
   u2 = [zeros(4,1); 6*ones(96,1)];
   u3 = [zeros(7,1); -10*ones(93,1)];
   m2 = u1+u2+u3;
   n = -1:98;
   stem(n,m2,'markerfacecolor','b')