Waveform synthesis via splines

As it currently stands, waveform generators are being employed in many diverse areas such as communication systems, radar applications, simulation, and testing. Thus, the objective here is to develop an algorithm for a waveform generator capable of synthesizing analog signals from a specified collection of discrete signal points, and polynomial splines are employed to develop a smooth curve (continuous derivatives) connecting these points. Texas Instruments recently released its 720 MHz digital signal processor (world's fastest), and the purpose of this brief paper is to add to the body of knowledge associated with splines and digital to analog conversion.