Transition band
Encyclopedia
The transition band is a range of frequencies
, that allows a transition between a passband
and a stopband
of a signal processing filter
. The transition band is defined by a passband and a stopband cutoff frequency
or corner frequency.
This is the area between where a filter "turns the corner" and where it "hits the bottom".
An example of this can be taken from a low-pass filter
, commonly used in audio systems to allow the bass signal to pass through to a subwoofer
, and cut out all unwanted frequencies above a defined point. If the cutoff point for such a filter is defined as 200 Hz, then in a perfect system, all frequencies above 200 Hz will be stopped and all frequencies below 200 Hz will be allowed to pass through.
The transition band can be implemented to allow for a smooth fall off to avoid problems with the way the audio sounds. If the transition band of the example 200Hz filter is 20 Hz, then the signal should start attenuating at 180 Hz, and finally blocked at 200 Hz. The curve that the transition band follows depends on the engineering of the filter, including component reaction time and the choice of values for the components that comprise the filter.
The transition band is usually apparent in any filter system, even if it is unwanted. This can be of general importance when calculating the values required for filters used in the control of signal transmission systems, to ensure that the entire bandwidth of the desired signal is allowed to pass.
Frequency
Frequency is the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency.The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency...
, that allows a transition between a passband
Passband
A passband is the range of frequencies or wavelengths that can pass through a filter without being attenuated.A bandpass filtered signal , is known as a bandpass signal, as opposed to a baseband signal....
and a stopband
Stopband
A stopband is a band of frequencies, between specified limits, through which a circuit, such as a filter or telephone circuit, does not allow signals to pass, or the attenuation is above the required stopband attenuation level...
of a signal processing filter
Filter (signal processing)
In signal processing, a filter is a device or process that removes from a signal some unwanted component or feature. Filtering is a class of signal processing, the defining feature of filters being the complete or partial suppression of some aspect of the signal...
. The transition band is defined by a passband and a stopband cutoff frequency
Cutoff frequency
In physics and electrical engineering, a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced rather than passing through.Typically in electronic systems such as filters and...
or corner frequency.
This is the area between where a filter "turns the corner" and where it "hits the bottom".
An example of this can be taken from a low-pass filter
Low-pass filter
A low-pass filter is an electronic filter that passes low-frequency signals but attenuates signals with frequencies higher than the cutoff frequency. The actual amount of attenuation for each frequency varies from filter to filter. It is sometimes called a high-cut filter, or treble cut filter...
, commonly used in audio systems to allow the bass signal to pass through to a subwoofer
Subwoofer
A subwoofer is a woofer, or a complete loudspeaker, which is dedicated to the reproduction of low-pitched audio frequencies known as the "bass". The typical frequency range for a subwoofer is about 20–200 Hz for consumer products, below 100 Hz for professional live sound, and below...
, and cut out all unwanted frequencies above a defined point. If the cutoff point for such a filter is defined as 200 Hz, then in a perfect system, all frequencies above 200 Hz will be stopped and all frequencies below 200 Hz will be allowed to pass through.
The transition band can be implemented to allow for a smooth fall off to avoid problems with the way the audio sounds. If the transition band of the example 200Hz filter is 20 Hz, then the signal should start attenuating at 180 Hz, and finally blocked at 200 Hz. The curve that the transition band follows depends on the engineering of the filter, including component reaction time and the choice of values for the components that comprise the filter.
The transition band is usually apparent in any filter system, even if it is unwanted. This can be of general importance when calculating the values required for filters used in the control of signal transmission systems, to ensure that the entire bandwidth of the desired signal is allowed to pass.