Chinese restaurant process vs Dirichlet Process On Wikipedia Dirichlet Process page, regarding the connection between the Chinese restaurant process and the Dirichlet process it's state the following 


  If one associates draws from the base measure 
  H with every table, the resulting distribution over the sample space S is a random sample of a Dirichlet process. 


What does it mean to: 


  Associate draws from the base measure H with every table? 


It doesn't make any sense to me.
A sample from a Dirichlet Process, or DP, is a distribution over a sample space $S$. Here the DP is defined based on a base distribution $H$ over $S$. For instance, in the Wikipedia example from your page, the sample space is all real numbers $\mathbb{R}$ and the base distribution is the standard Normal. 

The Chinese restaurant process, or CRP, defines a partition over integers $1,2,...,n$ at each time $n$, and $n$ can go to $\infty$. In this metaphor each block in the partition is called a table. Notice that the CRP itself has nothing to do with the original sample space $S$ or the base distribution $H$.

To associate draws from the base measure H with every table, it means for each table $i$, you independently draw one sample $s_i$ from $S$ according to the base distribution $H$. You repeat the sample $s_i$ for $b_i$ times, where $b_i$ is the number of "customers" seated in the $i$'th table in that Chinese restaurant. The distribution of all those repeated samples for all tables, is your sample distribution from the DP.