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u(n) b3 b2 FDN Late Reverberation b1 x1(n) x2(n) x3(n) g3 g2 g1 q11 q21 q31 z −M1 z −M2 z −M3 q12 q13 q22 q23 q32 q33 Jot (1991) FDN Reverberator for N = 3 • Generalized state-space model (unit delays replaced by arbitrary delays) • Note direct path weighted by d c1 d c2 c3 E(z) • The “tonal correction” filter E(z) equalizes mode energy independent of reverberation time (perceptual orthogonalization) • Gerzon 1971: “orthogonal matrix feedback reverb” cross-coupled feedback comb filters (see below) 28 y(n)
Choice of Orthogonal Feedback Matrix Q Late reverberation should resemble exponentially decaying noise. This suggests the following two-step procedure for reverberator design: 1. Set t60 = ∞ and make a good white-noise generator 2. Establish desired reverberation times in each frequency band by introducing losses The white-noise generator is the lossless prototype reverberator. 29
Page 1 and 2: MUS420/EE367A Lecture 3 Artificial
Page 3 and 4: Implementation Let hij(n) = impulse
Page 5 and 6: Possibility of a Physical Reverb Mo
Page 7 and 8: Perception of Echo Density and Mode
Page 9 and 10: Proof that Mode Density Grows as Fr
Page 11 and 12: Perceptual Metrics for Ideal Reverb
Page 13 and 14: Energy Decay Relief (EDR) The energ
Page 15 and 16: x(n) Reverb = Early Reflections + L
Page 17 and 18: Desired Qualities: Late Reverberati
Page 19 and 20: Schroeder Allpass Sections (Late Re
Page 21 and 22: Are Allpass Filters Really Colorles
Page 23 and 24: • Schroeder suggests a progressio
Page 25 and 26: • d (“damping”) default: Free
Page 27: Freeverb Allpass Approximation Schr
Page 31 and 32: Choice of Delay Lengths Mi • Dela
Page 33 and 34: u(n) b3 b2 b1 Choice of Loss Gains
Page 35 and 36: Example • Start with a pole at dc
Page 37 and 38: Lossy Mapping Let’s in more detai
Page 39 and 40: Desired Pole Radius Pole radius Rk
Page 41 and 42: Tonal Correction Filter Let hk(n) =
Page 43 and 44: Zita-Rev1 Damping Filters FDN rever
Page 45 and 46: Rectilinear Digital Waveguide Mesh
Page 47: Reverb Resources on the Web • Har

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