Signal Gain, Feedback & Control Dynamics¶
Primes about how systems amplify, filter, or regulate a signal through gain and feedback loops: distortion and nonlinear amplification (harmonic distortion, convolution, eigenvectors), homeostatic overshoot and rebound (withdrawal rebound, eutrophication, overshoot and collapse), and control-loop limits on bandwidth and range (feedforward, gain control, selectivity window, supernormal stimulus).
22 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.
- Amplification — Increase signal or disturbance.
- Convolution — Each output is a sliding, weighted local mixture of an input produced by one fixed kernel.
- Diminishing Incremental Gains — Reduced benefit per unit.
- Distortion — Systematic, mapping-induced deviation of an output from a faithful rendering of its input.
- Eigenvalue And Eigenvector — A transformation's invariant directions and the scalars by which it stretches them.
- Eutrophication — An enabling input crosses an assimilation ceiling and inverts into a degrading load, driving a self-amplifying bloom that depletes a secondary resource and locks in a worse regime.
- Feedback — Outputs influence inputs.
- Feedforward — A predictive model of an action's consequences is interposed upstream of commitment, so the actor pre-corrects rather than waits for a deviation to feed back.
- Feedforward Inhibition — The same input that activates a downstream element simultaneously recruits a brake on it along a parallel path, so the response is shaped by their difference.
- Gain Control — A slow secondary loop continuously retunes the gain of a fast forward signalling pathway so it stays in its useful range across changing input statistics.
- Garbage In, Garbage Out — The quality of a transformation's output is bounded above by the quality of its inputs; no downstream sophistication can repair defects already present in the input.
- Harmonic Distortion — Passing a signal through a nonlinear transfer function generates new frequency components — harmonics and intermodulation products — absent from the input, an artifact of the nonlinearity itself rather than of any sampling or discretization.
- Intrinsic Ceiling vs Input — An intervention is characterised by two independent and routinely conflated parameters — the intrinsic ceiling of effect it can produce, and the input required to push the response close to that ceiling — which can vary separately and which determine the right choice depending on which binds.
- Neuromodulation — A separate, diffuse control channel sets the gain or operating mode by which a system processes content, without itself carrying content.
- Overshoot and Collapse — An enabling input that is beneficial at low levels crosses an assimilation ceiling and inverts into a self-amplifying degrading load, depleting a secondary resource and locking in a hysteretic worse regime that does not reverse when the input is removed.
- Pull Flow — An activity is triggered by a downstream demand signal rather than scheduled by an upstream producer, shifting uncertainty absorption from inventory to latency.
- Rebound Effect
- Recursive Attenuating Amplification — A one-shot input recirculating through a leaky operator with sub-unit retention produces a bounded total response of input/(1−k).
- Reference Cadence Exceeds Tracking Bandwidth — When the signal a closed loop must track changes faster than the loop's bandwidth, persistent error follows that no amount of executor effort can close.
- Selectivity Window — A process discriminates among targets only inside a bounded operating range of a control parameter, and loses or reverses that discrimination outside it.
- Supernormal Stimulus — A response circuit calibrated only over a natural cue range, with no built-in ceiling, is hijacked by an engineered referent that exceeds that range and triggers disproportionate response.
- Withdrawal Rebound — A system that adapted to a sustained input by mounting an opposing internal compensation overshoots in the opposite direction when the input is abruptly removed, because the now-unopposed compensation is still pushing against an input that is no longer there.