A new method to determine the period in sigma delta modulator with DC input

Lijun Cao

doi:10.1117/12.664328

20 February 2006 A new method to determine the period in sigma delta modulator with DC input

Lijun Cao

Proceedings Volume 6041, ICMIT 2005: Information Systems and Signal Processing; 60411A (2006) https://doi.org/10.1117/12.664328
Event: ICMIT 2005: Merchatronics, MEMS, and Smart Materials, 2005, Chongqing, China

Abstract

Sigma delta modulator was used as A/D converter in many applications. By calculating 1-bit data stream directly in a period has high resolution with short time. According to the periodic characters of the output bit string in sigma delta modulator with DC rational input, a new method based on the correlation analysis was given to fix the period of output bit string. Assuming the output 1-bit data stream in a sigma delta modulator is y(n), considering the output series y(n) of finite length, its autocorrelation function r_yy(0) (when m=0) is maximum. Calculating autocorrelation function r_yy(m)continuously until m=T, when r_yy(T)= r_yy(0), T is the cycle period. By averaging y(n) in T interval can obtain corresponding input level value. Any DC input signals can be regard as a rational based on the system precision, the period T was obtained from the modulator output and is independent of the initial condition, so the method has important significance in practical application.

Citation Download Citation

Lijun Cao "A new method to determine the period in sigma delta modulator with DC input", Proc. SPIE 6041, ICMIT 2005: Information Systems and Signal Processing, 60411A (20 February 2006); https://doi.org/10.1117/12.664328

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