On The Behavior of Delay Network Reverberator Modes

Grouped Feedback Delay Networks With Frequency-Dependent Coupling

“…For two coupled rooms, each with individual mixing matrices M 2 1 and M 2 2 , and a coupling coefficient of α, the coupled mixing matrix can be characterized as [17],…”

“…|Λ| T 60 (e jω )F s = 0.001, ln 0.001/F s ln(σ min g(e jω )) 1/τ min ≤ T 60 (e jω ) ≤ ln 0.001/F s ln(σ max g(e jω )) 1/τmax , (7) where g(e jω ) is the frequency response of the absorption filter in the delay lines. The deviation from the desired reverberation time, T 60 des (e jω) is, γ…”

“…Recent research on FDNs has focused on mixing matrix design to increase echo density [5], modal analysis [6], [7], timevarying FDNs [8], allpass FDNs for colorless reverberation [9] and scattering FDNs for dense reverberation [10]. Grouping of delay lines to control direction-dependent energy decay, known as the Directional Feedback Delay Network, was proposed by Alary et al in [11].…”

“…We proposed the Grouped Feedback Delay Network (GFDN) [17] to connect multiple FDNs whilst maintaining system stability. In a GFDN, groups of delay lines have the same target T 60 response associated with them, compared to traditional FDNs, in which all delay lines share the same decay characteristics.…”

Modal Excitation in Feedback Delay Networks

“…Our prior work introduced a modal decomposition technique for FDNs [8], representing the FDN as a sum of complex onepole resonators, or modes. These modes find utility in system estimation [9], oscillation analysis [10], [11], resonance excitation optimization [12], [13], matching desired room modes [14], and enhancing the design of coupled room reverberators [15]- [17].…”