Which capture antibody to use in ELISA?

Capture antibody can be either from the same species as detection antibody, for example: rabbit 

or 

Capture antibody and detection antibodies are from different species, for example, rabbit and goat. 

Both approaches are going to work, however, using a different host of capture antibody might offer better selectivity, while using with the same host of capture Ab as detection antibody may offer less background/noise. Therefore, it may be worth to explore both options, as the outcome will depend upon sample type and requires assay sensitivity.