Apparatus and method for synthesizing a sinusoidal signal

摘要

An apparatus and method for synthesizing a sinusoidal signal generated from a plurality of sample values taken at sample times in succeeding sample intervals. The signal is defined by a parameter which varies by a step value during predetermined sample intervals when the parameter changes from a first value to a second value. The apparatus includes a first logic unit for iteratively treating an initial step value to generate succeeding samples of the step value and a next step value. The next step value is the step value in a next-succeeding sample interval. A second logic unit is included for iteratively generating a next parameter value which is the parameter value during the next-succeeding sample interval. The second logic unit receives succeeding samples of the step value and iteratively generates succeeding samples of an interim parameter value and succeeding samples of a derivative interim parameter value. The interim parameter value is the parameter value intermediate a current parameter value in a current sample interval and a next parameter value during a next-succeeding sample interval. The second logic unit iteratively treats the succeeding samples of the interim parameter value and the derivative interim parameter value to generate the next parameter value. The second logic unit continues iterative generating of the next parameter value until the end of a time interval or until the particular parameter value substantially equals the second parameter value.