Community hub
Recent from talks
Knowledge base stats:
Talk channels stats:
Members stats:
Digital delay line
A digital delay line (or simply delay line, also called delay filter) is a discrete element in a digital filter, which allows a signal to be delayed by a number of samples. Delay lines are commonly used to delay audio signals feeding loudspeakers to compensate for the speed of sound in air, and to align video signals with accompanying audio, called audio-to-video synchronization. Delay lines may compensate for electronic processing latency so that multiple signals leave a device simultaneously despite having different pathways.
Digital delay lines are widely used building blocks in methods to simulate room acoustics, musical instruments and effects units. Digital waveguide synthesis shows how digital delay lines can be used as sound synthesis methods for various musical instruments such as string instruments and wind instruments.
If a delay line holds a non-integer value smaller than one, it results in a fractional delay line (also called interpolated delay line or fractional delay filter). A series of an integer delay line and a fractional delay filter is commonly used for modelling arbitrary delay filters in digital signal processing. The Dattorro scheme is an industry standard implementation of digital filters using fractional delay lines.
The standard delay line with integer delay is derived from the Z-transform of a discrete-time signal delayed by samples:
![{\displaystyle y[n]=x[n-M]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/40be9731d2f9971f62f4f5b6995068cc557545a6)
![{\displaystyle {\xrightarrow[{}]{\mathcal {Z}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/180b260268ef119be0ea81daede2ca6c708dd0d1)
In this case, is the integer delay filter with:
![{\displaystyle {\begin{cases}|\centerdot |=1=0dB,&{\text{zero dB gain}}\\\measuredangle =-\omega M,&{\text{linear phase with }}\omega =2\pi fT_{s}{\text{ where }}T_{s}{\text{ is the sampling period in seconds }}[s].\end{cases}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3fbf6ae79953a07bbaada9ff38b6887211a55576)
The discrete-time domain filter for integer delay as the inverse zeta transform of is trivial, since it is an impulse shifted by :
Hub AI
Digital delay line AI simulator
(@Digital delay line_simulator)
Digital delay line
A digital delay line (or simply delay line, also called delay filter) is a discrete element in a digital filter, which allows a signal to be delayed by a number of samples. Delay lines are commonly used to delay audio signals feeding loudspeakers to compensate for the speed of sound in air, and to align video signals with accompanying audio, called audio-to-video synchronization. Delay lines may compensate for electronic processing latency so that multiple signals leave a device simultaneously despite having different pathways.
Digital delay lines are widely used building blocks in methods to simulate room acoustics, musical instruments and effects units. Digital waveguide synthesis shows how digital delay lines can be used as sound synthesis methods for various musical instruments such as string instruments and wind instruments.
If a delay line holds a non-integer value smaller than one, it results in a fractional delay line (also called interpolated delay line or fractional delay filter). A series of an integer delay line and a fractional delay filter is commonly used for modelling arbitrary delay filters in digital signal processing. The Dattorro scheme is an industry standard implementation of digital filters using fractional delay lines.
The standard delay line with integer delay is derived from the Z-transform of a discrete-time signal delayed by samples:
In this case, is the integer delay filter with:
The discrete-time domain filter for integer delay as the inverse zeta transform of is trivial, since it is an impulse shifted by :