From the oscillators to PLL, various methods have been introduced to improve the stability, frequency resolution and spectrum purity. Among the all-digital approaches, Direct Digital frequency synthesis is considered as main. The main objective of this paper is to improve the output signal quality. Nowadays modern system designs needs to improve the quality of the waveform generated. An overview of the fundamentals of DDS along with the formulation to compute the bounds of the signal characteristics are resented here. Also two different quantization methods are used to synthesize the output waveform. Several methods, patented are presented in the earlier research works to overcome the limits of the basic DDS in terms of improving the quality of the output signal.  But in this paper, there are two stage of task is applied with two different quantization methods for improving the accuracy in terms of signal Synthesization.