what was the purpose of the you digital compression?
Well CDs had just come out so it was an attempt to save space and therefore make them play longer.
While the theory had been postulated a few years before little in the way of practical work had been done. I actually made a system and also made a machine to acquire the statics of sample changes and effective weighting of the samples.
The Wikipedia entry for this says:-
Adaptive delta modulation (ADM) was first published by Dr. John E. Abate (AT&T Bell Laboratories Fellow) in his doctoral thesis at NJ Institute Of Technology in 1968. ADM was later selected as the standard for all NASA communications between mission control and space-craft.
Adaptive delta modulation or Continuously variable slope delta modulation (CVSD) is a modification of DM in which the step size is not fixed. Rather, when several consecutive bits have the same direction value, the encoder and decoder assume that slope overload is occurring, and the step size becomes progressively larger.
Otherwise, the step size becomes gradually smaller over time. ADM reduces slope error, at the expense of increasing quantizing error. This error can be reduced by using a low-pass filter. ADM provides robust performance in the presence of bit errors meaning error detection and correction are not typically used in an ADM radio design, it is this very useful technique that allows for adaptive-delta-modulation.
This bit however is not exactly correct:-
when several consecutive bits have the same direction value, the encoder and decoder assume that slope overload is occurring, and the step size becomes progressively larger.
The decision to increase the bit weighting was taken on the size of the delta. When it reached a threshold the weighting was increased. So lots of experiments to determine thresholds and sample sizes against listening quality.
A pure mathematical analysis while giving a figure for distortion does not represent how annoying it sounds. So I listened repeatedly to two recordings - Schubert's Trout quintet, my supervisor's choice and Six Wives of Henry 8 - Rick Wakeman , my choice.