An optimal adaptation logic for delta modulation

A new adaptive delta modulator has been introduced in this paper which essentially adapta its step size with the help of two time invariant adaptation parameters. The scheme works with the knowledge of the current channel symbol and requires no storage of previous channel symbols. Limitations of previous adaptation logics have been discussed and it has been show how the present scheme is capable to over come these difficulties. An attempt has also been made in this paper to empirically establish an optimality criterion on the values of the adaptation parameters on the basis of assuming a restricted class of input signal statistics. It has been found that the optimality criterion so derived conforms to the experimental result obtained by Jayant 1 The paper also describes some qualitative study about the granular noise of an adaptive delta modulator from its step response.