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problem in verilog-A model of second otder sigma delta modualtor pls help!!!

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micro designer

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problem in verilog-A model of second order sigma delta modulator pls help!!!

iam working on the verilog-A modeling of first and second order DT sigma delta modulator in synopsys custom designer.
verilog-A code for filter is shown below :

module filter(vin,vout);
input vin;
output vout;
electrical vin, vout;
parameter real n0 = 1.0;
parameter real T = 7.8125e-7 from (0:inf);
parameter real t = 2n from (0:inf);
parameter real d0 = 1.0;
parameter real d1 = -1.0;

analog begin
V(vout) <+ zi_nd (V(vin) , {n0} ,{d0, d1},T );
end



schematic is here schematic.jpeg
first order sdm is working properly as shown in the figure input-output.png
but when the second order sdm is simulated the output is negative Vmax ie 0.8 V in this case. The filter outputs are going in one direction only as shown here View attachment filter1_out.pdfView attachment filter2_out.pdf instead of filter_out.png in case of first order sdm.

Can anybody help me to understand this problem. Is it required to add saturation blocks after the filter to limit their outputs ?

Thank you
 

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