Once you submit your revised manuscript the editor handling your manuscript will look through your revisions to assess if they are satisfactory. Since revisions were in response to a minor revisions verdict, it seems likely that the next step would be accept unless the revisions were not satisfactory, in which case additional revisions might be necessary. In any case, the editor is now assessing your manuscript. 

You write that the paper has been in this mode for a week. For any normal journal and thereby workload of their editors, you should not expect any change in status within such a short period. In "my" journal editors have three weeks to reach a decision on how the process should proceed. If the status remains for longer than, say, 3-4 weeks, you can start to consider contacting the journal and ask about its faith. But, please check if the journal has any specific time limits for their processes. Some do, some don't. The bottom line is that you are premature to worry at this stage.

EDIT: As Strongbad points out in a comment the term "Awaiting Editors Decision" strictly indicates that the paper has passed reviewers. this is indeed the general case,  also in "my" journal. So in your case, the signal is, as I was, albeit not as clear as I intended, aiming at above, that no additional review is necessary and the editor is assessing the paper for submitting the final verdict.