## Momentary bandpower

Purpose

Description

Tips

Macro Synopsis

Modules

Related Functions

References

### Purpose

Momentary bandpower

### Description

"Momentary bandpower" belongs to the group of adaptive estimators and
computes the momentary power within a certain frequency band of the
input signal x.
Its parameters are

- lower bound f1 of the frequency band, given in reciprocal x-axis units
- upper bound f2 of the frequency band, given in reciprocal x-axis units
- adaptation time
`tm` for the mean estimator, given in x-axis units
- adaptation time
`tv` for the variance estimator, given in x-axis units

"Momentary bandpower" is implemented as a macro function using Momentary power.

### Tips

The parameters for the adaptation times of the estimators determine the adaptation speed and the robustness of the estimation procedure. Lower values result in higher adaptation speeds but then the estimated quantity varies around the true value with high variance. Higher values result in lower adaptation speeds, but then the quantity to be estimated converges more smoothly to the true value in the case of stationary signals.

### Macro Synopsis

`y = MomBandPower(x,f1,f2,tm,tv);`

signal x,y;

float f1,f2,tm,tv;

### Modules

Filter

### Related Functions

Momentary ARMA bandpower, Momentary ARMA coherence,
ARMA dependence, Momentary ARMA spectrum,
Momentary frequency, Momentary mean, Momentary power.

### References

Haykin [41], Grieszbach et al. [43]