A generic design for non-recursive implementation for the generation of discrete time speech signals by using discrete cosine transform is presented. A procedure was derived for it’s generation from a regular structure and the computational procedure was investigated by using discrete cosine transform. An analysis of the speech signal generation with discrete cosine transform was implemented by a simulation and a structure for its nonrecursive implementation was drawn. This generic approach could also be applied for the other well known real time signals and is expected to work equally for their implementation. A brief overview is presented in the analysis section to implement an electrocardiogram signal from the same structure by relabeling the various signals in the proposed structure of the discrete time speech signal.