This letter introduces the notion of linear Discrete-time Output Negative Imaginary (D-ONI) systems. The D-ONI class is defined in z-domain and it includes systems having poles on unit circle. proposed definition involves a real parameter δ ≥ 0, which indicates strictness properties. > 0 specifies strict subset, Strictly (D-OSNI), within stable class. Interestingly, new captures existing D-NI w...