More shocks than observables

Hi
Is anybody aware of any potential identification issues when we estimate a DSGE model using more shocks than observables? I understand that estimation becomes easier as we add more shocks to the model, but I was concerned about potential identification issues. Are there any references that you would recommend to understand more about this?
Reuben

See Remark 26 (Number of observables vs. number of shocks) in my Guide to Observation Equations