Adding Random Noise to a Sine Wave in Mathematica

[stunner5000pt]

For my time series and spectral analysis class i need to graph something like in the attachment. i need to have 100 numbers that are connected like that, and then 'add' them to a sinusiodal wave to create a real life wave - with noise.

How would i do this using mathematica??

I can easily generate a whole bunch of random numbers with ranging values but how would i make it such taht all the numbers are in ascending order and go from 0 to at least 2 pi?

would i use numerous Random[x] and then arrange them (how?) in ascending order??

Please help!

Thank you in advance for your input

 

[stunner5000pt]

any ideas people??

graphing random numbers and then 'joinging' them seems to be a good idea here... is that possible with mathematica though?

 

[wurth_skidder_23]

Look up the function Sort.

Sort[Real,{1.13,2.14,1.54,2.61}]

{1.13,1.54,2.14,2.61}

 

[chroot]

I have no idea what you mean, ascending order. From what I can tell, there's no correlation between the time and the value, which is rather the definition of a random variable. You're not going to add the random values to the angles going into the sine function -- you're going to add them to the outputs coming from the sine function.

Just compute a table of sine values, one for each point of interest. Next, add a random value to each entry in the table.

- Warren

 

[stunner5000pt]

I have no idea what you mean, ascending order. From what I can tell, there's no correlation between the time and the value, which is rather the definition of a random variable. You're not going to add the random values to the angles going into the sine function -- you're going to add them to the outputs coming from the sine function.

Just compute a table of sine values, one for each point of interest. Next, add a random value to each entry in the table.

- Warren

now why didnt i think of it that way

in fact tahts what my prof said too

im just silly

thanks a lot