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On the stability of a 1-bit-quantized feedback system

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1 Author(s)
Hofelt, M. ; Phillips Research Laboratories, Eindhoven, The Netherlands

The performance of a Delta(-Sigma)- Modulator can be greatly improved by increasing the effectiveness of the low-pass or band-pass filter which is placed in the feedback loop around the 1-bit quantizer. However, too steep an attenuation of the filter will cause the system to exhibit limit cycle oscillations, which have a detrimental effect on the performance. These are characterized by a periodic sequence offrac{1}{2}Lpositive 1-bit samples followed byfrac{1}{2}Lnegative output samples. This paper presents a sufficient phase condition of the loop filter for the nonexistence of these limit cycles. A simple interpretation in the time domain is given.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '79.  (Volume:4 )

Date of Conference:

Apr 1979