Description: One of algorithms of transformation and definition of its optimality in communication systems is considered. The analysis of Khartley and Fur'e discrete transformations is conducted . Expedience of improvement of discrete transformation is certain Khartley for the decision of tasks of operative compression of data. Discrete transformation is improved Khartli on the basis of method of moments. An algorithm is developed and the flow diagram of rapid calculation of discrete transformation is offered Khartley. Conclusions are done about expedience of module comparison of functions in the calculations of discrete transformation Khartley.
Keywords: discrete transformation Khartley, method of moments