Non-redundant time-frequency transforms introduce aliasing artifacts when signals are modified in the frequency domain.

Evidence

Aliasing may occur in signals that are processed considerably in the frequency–domain. Aliasing components emerge especially if the applied time–frequency transform relies significantly on signal cancellation properties of the different samples in the time–frequency domain, which is a typical feature of non-redundant time–frequency representations. Non-redundant transforms are transforms that provide the lowest possible amount of data points per second without losing any signal information. A transform is redundant if some of the information it produces is repeated more than once, which may be necessary to avoid aliasing if the signal is processed in the frequency domain. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 2088

Categorization

• DEFINE: Defines non-redundant vs redundant transforms and links redundancy to aliasing avoidance.