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Horn Modeling
Subsections
Bore Profile Reconstruction from Measured Trumpet Reflectance
Trumpet-Bell Impulse Response Computed from Estimated Piecewise-Cylindrical Model
FIR to IIR Conversion Attempts
Hankel Norm Method
Order 15 Hankel-Norm IIR Fit to Length 561 FIR Measured Trumpet-Bell Reflectance
Order 8 Hankel-Norm IIR Fit to Length 561 FIR (Evidence of Numerical Failure in Previous Example)
Order 10 Steiglitz-McBride
Fit to a
Length 561 FIR Filter Model
SM-10 Group Delay Fit
SM-10 Phase Delay Fit
SM-10 Amplitude Response Fit
Another Measured Trumpet Bell Reflectance
Measured Trombone Bell Reflectance
Idea!
Four-Exponential Fit to
Estimated Trumpet-Bell Filter (Exp-4)
Exp-4 Phase Response Fit
Exp-4 Amplitude Response Fit
Exp-4 Low-Frequency Zoom
Exp-4 Group Delay Fit
Exp-4 Phase Delay Fit
Exp-4 Impulse Response Fit (Repeated)
Exp-4 Slope Fit
Two Exponentials Connected by a Cubic Spline Measured Trumpet Data (Exp2-S3)
Exp2-S3 Impulse Response Fit
Exp2-S3 Phase Response Fit
Exp2-S3 Amplitude Response Fit
Exp2-S3 Low-Frequency Zoom
Exp2-S3 Group Delay Fit
Exp2-S3 Phase Delay Fit
Exp2-S3 Impulse Response Fit
Exp2-S3 Slope Fit
Two Exponentials Followed by a 6th-Order IIR Filter Designed by Steiglitz McBride Algorithm (Exp2-SM6)
Exp2-SM6 Impulse Response Fit
Exp2-SM6 Slope Fit
Exp2-SM6 Phase Response Fit
Exp2-SM6 Amplitude Response Fit
Exp2-SM6 Low-Frequency Zoom
Exp2-SM6 Group Delay Fit
Exp2-SM6 Phase Delay Fit
Results for Measured Trumpet Data Using Two Offset Exponentials and Two Biquads
Measured Trumpet Bell Impulse Response
TIIR Trumpet Bell Impulse Response
Measured Trumpet Bell Amplitude Response
TIIR Trumpet Bell Amplitude Response
Trumpet Bell Phase Delay Fit
Input Impedance of Complete Bore + Bell Model
Comparison to Measurements
Measured Impulse Response
Synthesized Impulse Response, Order 4 Tail
Measured Impulse Response
Synthesized Impulse Response, Order 6 Tail
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Download
HornModeling.pdf
Download
HornModeling_2up.pdf
Download
HornModeling_4up.pdf
``
Horn Modeling
'', by
Julius O. Smith III
, (From Lecture Overheads,
Music 420
).
Copyright ©
2019-02-05
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
[Automatic-links disclaimer]