Dear Friends,
I derived the accumation effect of SC integrator, as attached.
The formula is confirmed with the results of W. Ki and G. C. Temes, “Offset-compensated switched-capacitor integrators,”
in Proc. IEEE Int. Symp. Circuits and Systems, May 1990, pp.
2829–2832.

My derived reults consider the offset and finite gain. This derivation is also done in Dr. Murmann's (Stanford) lecture note. But he did not include the finite gain of the OTA.    

From this attached reults, it verified my last post that even no input, the single ended SC-integrator has no "periodic solution". The output goes up at every cycle.  This case is different than Dr. Kendurt's paper of  Simulating switched-capacitor filters with Spectre RF.    

So I wonder how Spectre can handle  this single-ended SC-integrator ?            

Thanks so much to friends.    Larry-SuYung