# Complex Data/ Complex Noise Simulation

Started by June 4, 2009
```I have a data set that is complex that i generated by using a hilbert
transform. I wanted to add guassian noise (complex) to the data and then do
some processing.

When i do this, is the correct method to add the hilbert tranform of the
data to the hilbert transform of the noise? Or do i use a 'different' noise
sequence and create complex additive noise to keep the I and Q of the noise
uncorrelated?

If your a matlab user.. The question is kind of asking the difference of

data = [1:10]
complexData = hilbert(data)

noise  = randn(1,10);
complexNoise = hilbert(noise)

OR---------Is noise modeled as

complexNoise2 = randn(1,10)+i*randn(1,10)

```
```westocl wrote:
> I have a data set that is complex that i generated by using a hilbert
> transform. I wanted to add guassian noise (complex) to the data and then do
> some processing.
>
> When i do this, is the correct method to add the hilbert tranform of the
> data to the hilbert transform of the noise? Or do i use a 'different' noise
> sequence and create complex additive noise to keep the I and Q of the noise
> uncorrelated?
>
> If your a matlab user.. The question is kind of asking the difference of
>
> data = [1:10]
> complexData = hilbert(data)

I don't think that's right. I would say (be careful to time align the
two terms)  complexData = data + j*hilbert(data)

I noise and Q noise should be uncorrelated.

Jerry
--
Engineering is the art of making what you want from things you can get.
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```