Gaussian pulse sequence modulated by a bit sequence (MATLAB)

Hello!I can't find how to programm equations like this

E(t)= Σbn*g(t-nTs)

in Matlab
Specifically I want to generate a gaussian pulse sequence modulated by a bit sequence.The mathematical expression is

E(t)=c(1)exp[-(t-Tb/2)^2/2To^2] + c(2)exp[-(t-3Tb/2)^2/2To2]+…. +c(i)exp[-(t-(i-1/2)Tb)^2/2To^2]

c is the bit sequence.

i have written a code for the three terms of the equation which works and shows the pulses with amplitude 0 or 1 in time.

that's the code

d=randint(127,1);
c(1)=xor(1,d(1));

for i=2:127
c(i)=xor(d(i),c(i-1)); % dpsk mod data

end

Tb=100; %ps
To=0.158*Tb;

E=c(1)*exp(-(t-(Tb/2)).^2/(2*To*To)) + c(2)*exp(-(t-3*(Tb/2)).^2/(2*To*To)) +c(3)*exp(-(t-5*(Tb/2)).^2/(2*To*To));

t=0:500;
plot(t,E);

how can i programm it for all the 127 pulses of course without writting them one by one?I have tried some loops but it wouldn't work because i can't give simultaneously values to i and t.

Thank you!

Re: Gaussian pulse sequence modulated by a bit sequence (MAT

call you pulse samples matrix A : a 1 X 43 matrix, say.
put your bit sequence into another array B, a binary (or +/- 1) array of 1x127 (say)
C = A' * B; Now you have all numbers you want but in "incorrect" order.
Transpose,
C = C';
and string them into one long vector D = C);
- B

Re: Gaussian pulse sequence modulated by a bit sequence (MAT

thanks but i finally managed it!this is the code that gives me the result i want

d=randint(127,1);
c(1)=xor(1,d(1));

for i=2:127
c(i)=xor(d(i),c(i-1)); % dpsk mod data

end

Tb=100; %ps
To=0.158*Tb;

Too = 2*To*To;
Tb2 = Tb/2;
% βασικό loop
E=0;
S=0;
t=0:1:12700;
for i=1:127
E = E + c(i) * exp( -( t -(2*i-1)*Tb2 ) .^2 / Too) ;
S = S + d(i) * exp( -( t -(2*i-1)*Tb2 ) .^2 / Too) ;


end;

subplot(2,1,1), plot(t,S)
title ('Random Bit Input')
xlabel ('Time in psec')
ylabel ('Magnitude')
subplot(2,1,2), plot(t,E)
title('DPSK Modulation')
xlabel ('Time in psec')