Study on methods of suppressing signal truncation error in digital signal processing

In the digital signal processing, it is necessary to perform conversion from high quantization precision to low quantization precision of the intermediate signals, i.e. the truncation of the data bit width, due to the calculation precision of some digital algorithms. The direct truncation of the high quantization precision signals will lead to a decline in the spurious-free dynamic range (SFDR) of the truncated low quantization precision signals. Truncation after adding the Dither to the high quantization precision signals could effectively reduce the harmonic distortion of direct truncation error and significantly improve the dynamic range of the low quantization precision signals. The simulation results of MATLAB show that truncation after adding the Dither could increase the SFDR of the low quantization precision signals by about 16dB.