An Improvement of PSWF Pulse Generator Based on Difference Quantitation

In order to improve the accuracy of Prolate Spheroid Wave Function (PSWF) pulse generator and reduce the number of bits needed in quantization, by analyzing the problem of amplitude quantization error in the traditional PSWF generator based on the Direct Digital Waveform Synthesis (DDWS), an improvement of PSWF pulse generator based on difference quantitation is proposed. Theoretical analysis and simulation results show that: While the Over Sampling Rate (OSR) is greater than, using the difference quantitation method instead of direct one will be helpful to meliorate the noise spectrum and get higher quantitation accuracy with less number of quantitation bits. The noise spectrum will meliorate 6dB every time when the over-sampling rate is doubled, which is 3dB more than the direct quantitation method. PSWF pulse generator based on the difference quantitation is much more suitable for high-precision and high sampling rate PSWF signal generation.