Signal processing digital

In principle, any one of several integral transforms can be used to convert data collected in me time domain into me frequency domain for subsequent analysis. Because of me similarity of me various transformation techniques, it is convenient first to discuss briefly me interrelationships of me various transform functions. 

The general linear integral transformation of a function F(t) wim respect to a kernel K(t, q) is given as (Bohn [1963], Crain [1970]) 

In this chapter, we are concerned with machine implementation of transform techniqnes, either software or hardware, to obtain data in a form convenient for ac impedance analysis. In recent years, the advent of hard-wired (dedicated) Fourier transform nnits (Reticon [1977]) and the fast Fourier transform algorithm, or FFT (Cooley and Tnkey [1965], Hartwell [1971]), have concentrated practical interest almost exclnsively on the Fourier transform. 

in the formalism of linear systems analysis, the transfer function is the mathematical description of the relationship between any two signals. In the special case where the signals of interest are the input (current excitation) and output (voltage response) of a linear electrical system, the transfer function is equivalent to the system impedance. 

Obviously, two stages of data manipulation are required to obtain Zi j(o) as a function of frequency from the response of the systan to an arbitrary time domain perturbation first, the input and response functions must be sampled and recorded in the time window of interest, then the transform of each must be computed and the complex ratio calculated. In hard-wired Fourier transform units, the acquisition subsystem is an integral part of the unit, and this function normally can be ignored. If the experimenter is using a computer or microcomputer to perform these functions, the concepts of analog-to-digital conversion and computer interfacing (described briefly in Sections 3.1.3.2 and 3.1.3.3) must be used. 

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APPLICATIONS OF DIGITAL SIGNAL PROCESSING TO AUDIO AND ACOUSTICS... 

Digital signal processing of high quality audio does not stop with the synthesis or manipulation of new material One of the early applications of DSP was the manipulation of sounds from the past in order to restore them for recording on new or different media. The chapter presents the different methods for removing clicks, noise and other artifacts from old recordings or film material. 

Some of the earliest digital signal processing work for audio restoration involved deconvolution for enhancement of a solo voice (Camso) from an acoustically recorded source (see Miller [Miller, 1973] and Stockham et al. [Stockham et al., 1975]). Since then, research groups at Cambridge, Le Mans, Paris and elsewhere have worked in the... 

Dillier et al., 1993] Dillier, N, Frolich, T., Kompis, M., Bogli, H., and Lai, W. (1993). Digital signal processing (DSP) applications for multiband loudness correction digital hearing aids and cochlear implants. J. Rehab. Res. andDevel., 30 95-109. 

Gerr and Allen, 1994] Gerr, N. and Allen, J. (1994). The generalized spectrum and spectral coherence of a harmonizable time series. Digital Signal Processing,... 

Naylor and Boll, 1986] Naylor, J. and Boll, S. (1986). Simultaneous talker separation. In Proc. 1986 Digital Signal Processing Workshop, Chatham, MA. 

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