Electrophysiological recordings from the brain are often interpreted through the language of oscillations, with canonical frequency bands such as theta, alpha, beta, and gamma serving as proxies for synchronization, communication, and functional engagement. This oscillatory framework remains indispensable, but it is incomplete. Neural field potentials also contain broad-band, scale-free, and transient components that do not conform to sustained periodic rhythms. In contemporary spectral analysis, the term aperiodic activity most commonly refers to the 1/f-like background of the power spectrum, parameterized by quantities such as offset, exponent, and knee. These parameters may index global features of neural population dynamics, including synaptic filtering, neuronal time constants, arousal, aging, pharmacological state, and excitation/inhibition balance. In parallel, many clinically and cognitively important electrophysiological phenomena are transient, event-like, and irregular rather than continuously periodic. Hippocampal sharp-wave ripples, interictal epileptiform discharges, K-complexes, sleep slow waves, and pathological high-frequency events are not equivalent to the 1/f background, yet they are non-sustained neural events whose timing, morphology, and propagation carry mechanistic and clinical information. This review proposes a unified but explicitly differentiated framework for aperiodic neural activity. We distinguish spectral aperiodicity, event-like aperiodicity, complex dynamical aperiodicity, and hybrid transient oscillatory events; summarize their biophysical origins; derive the mathematical principles underlying 1/f spectra and spectral parameterization; clarify the status of SWRs and IEDs as meaningful event-like non-periodic phenomena; and provide practical analysis workflows with Python examples. We argue that the most informative future approach will not replace oscillatory analysis with aperiodic analysis, but will model oscillations, 1/f background states, and transient events as interacting components of the same multiscale neural dynamical system.
Dongsheng Xiao (Fri,) studied this question.