Mathematical and computational issues in the deconvolution of a finite-length wavelet from a room impulse response under noisy conditions
John Patrick Walsh · The Journal of the Acoustical Society of America · 1983
The theoretical and computational issues which arise in the design and use of algorithms for digital deconvolution are discussed. Derivation of room impulse responses from measurements made using source signals which do not exhibit delta function behavior, under noisy conditions imposed by both the ambient conditions on-site and finite precision in the application of the deconvolution filter, form the focus of the paper. The genealogy of these methods in the literature of time series analysis, geophysical signal processing, and digital image restoration is described.