Aliasing Wave_field_synthesis

there undesirable spatial distortions caused position-dependent narrow-band break-downs in frequency response within rendition range – in word, aliasing. frequency depends on angle of virtual acoustic source , on angle of listener loudspeaker arrangement:

f

alias


=


c

Δ
x

|
sin
⁡

Θ

sec


−
sin
⁡

Θ

v


|






{\displaystyle f_{\text{alias}}={\frac {c}{\delta x\left|\sin \theta ^{\text{sec}}-\sin \theta ^{\text{v}}\right|}}}

for aliasing free rendition in entire audio range thereafter distance of single emitters below 2 cm necessary. fortunately our ear not particularly sensitive spatial aliasing. 10–15 cm emitter distance sufficient. on other hand, size of emitter field limit representation range; outside of borders no virtual acoustic sources can produced.