Practical implementations of physics-based spatial sound reproduction techniques, such as Wave Field Synthesis (WFS) and Higher Order Ambisonics (HOA), require real-time filtering, scaling and delaying operations on the audio signal to be spatialized. These operations form the so-called loudspeaker’s driving function. This paper describes a discretization method to obtain rational representations, in the unit circle of the z-plane, of the continuous 2.5D-WFS and 2D-HOA driving functions for horizontal reproduction. Visual and numerical comparisons between continuous and discrete driving functions, and between continuous and discrete sound pressure fields, synthesized with circular loudspeaker arrays, are shown. Percentage discretization errors, in the reproducible frequency range and in the whole listening area, are on the order of 1%. A methodology for immersive soundscapes reconstruction, composed with nature sounds, is also reported as a practical application.
Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!
This paper costs $33 for non-members and is free for AES members and E-Library subscribers.