Licklider & Pollack, "Effects of Differentiation, Integration, and Infinite Peak Clipping upon the Intelligibility of Speech", 1948
http://asadl.org/jasa/resource/1/jasman/v20/i1/p42_s1?isAuthorized=no

Previous experiments on the effects of distortion in voice communication circuits have shown that intelligibility is impaired surprisingly little by the type of amplitude distortion known as peak clipping. It has been found, in fact, that conversation is possible even over a system that introduces “infinite” peak clipping, i.e., that reduces speech to a succession of rectangular waves in which the discontinuities correspond to the crossings of the time axis in the original speech signal.

The intelligibility of the rectangular speech waves depends critically upon the frequency‐response characteristics of the speech transmission circuits used in conjunction with the “infinite clipper.” In the present experiments ... strong interaction is evidenced by the fact that word articulation scores of 97 and 15 percent were obtained with two systems consisting of the same components in different orders. The components were (1) a tilter with a frequency‐response characteristic rising 6 db per octave (a “differentiating” circuit), (2) an infinite peak clipper, and (3) a tilter with a frequency‐response characteristic falling 6 db per octave (an “integrating” circuit). When these distorters were cascaded in the sequence 1‐2‐3 the speech output consisted of triangularly shaped waves which sounded very much like normal speech and which were highly intelligible (97 percent). When the reverse sequence (3‐2‐1) was used, the speech output consisted of sharp pulses giving rise to extremely poor quality and very low intelligibility (15 percent).

As with delta-sigma modulation, this encoding allows one to turn the "bug" of limited frequency response in the output stage into a "feature" which restores intelligibility.

-Dave

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