Sinusoidal signal with frequency

Hello ,

how can I generate a vector obtained by sampling a sinusoid of frequency f =1/T in the interval [0, T)?

Then I have to add to z a gaussian noise with zero mean and 0.15 standard deviation.

The values of N and f are free.

I wrote this code, but I am not sure.

t = (0:0.1:10)'; % interval [0,T)
f= 1/10;  % frequency f = 1/T
z = sin(2*pi*f*t); %sinusoidal signal
plot(t,z); hold('on')
y = z + 0.15*randn(size(t)); %add gaussian noise with zero mean and 0.15 standard deviation
plot(t,y)

[Jan]

This sounds like a homework question. As usual: Please post, what you have tried so far and ask a specific question. The forum will not solve your homework.

[Jan]

@Giuli: This looks fine.

[Giuli]

Thank you

I have to define N?

[Jan]

If you want to define N, you can replace

t = (0:0.1:10)'

by

n = 100;
t = linspace(0, 10, n);

Maybe you want to remove the last element to get "[0,T)", but this is a little bit strange. [0,T] should be sufficient.

[Fabio Freschi]

You implicitly defined N using the colon opertator do create the vector t. If you want to use N explicitly you can replace your statement with

N = 100;
t = linspace(0,10,N);