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  3. monte carlo result on std dev and sigma

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monte carlo result on std dev and sigma

surreyian
surreyian over 12 years ago

Hello,

What is the differenence between sigma and std dev in monte carlo simulation. There two reading are not exactly the same, so what is the difference?

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  • ImanKian
    ImanKian over 9 years ago

    Hello all,

    Still I have some doubt about the sigma and std in Monte Carlo analysis in IC5 and MMSIM 12. I realised that the Monte Carlo analysis uses two files, which are:
    <MOSFETname>_mc_statistical_m.mdl.scs and <MOSFETname>_mc_statistical_p.mdl.scs.

    I checked the file '<MOSFETname>_mc_statistical_m.mdl.scs', and apparently it has to do with mismatch analysis of the  below I put content of the file. What does std=1/1 mean?

    simulator lang=spectre insensitive=yes
    parameters mc_n_<MOSFETname>_vth0_ma = 0
    parameters mc_n_<MOSFETname>_u0_ma = 0
    parameters mc_p_<MOSFETname>_vth0_ma = 0
    parameters mc_p_<MOSFETname>_u0_ma = 0
    //
    statistics {
    mismatch {
    vary mc_n_<MOSFETname>_vth0_ma dist=gauss std=1/1
    vary mc_n_<MOSFETname>_u0_ma dist=gauss std=1/1
    vary mc_p_<MOSFETname>_vth0_ma dist=gauss std=1/1
    vary mc_p_<MOSFETname>_u0_ma dist=gauss std=1/1
     }
    }

    -----------------------------------------

    There is another file called '<MOSFETname>_mc_statistical_p.mdl.scs' and as far as I understand it has to do with process analysis in Monte Carlo, and below is the content.

    simulator lang=spectre insensitive=yes
    //
    parameters mc_n_<MOSFETname>_tox_np = 0
    parameters mc_n_<MOSFETname>_cj = 0
    parameters mc_n_<MOSFETname>_cjsw = 0
    parameters mc_n_<MOSFETname>_cjswg = 0
    parameters mc_p_<MOSFETname>_cj = 0
    ...
    //
    parameters dtox_n_<MOSFETname> = 2.7300e-09 * (0.0300 / 3 * mc_n_<MOSFETname>_tox_np)
    parameters dvth0_n_<MOSFETname> = (2.40000e-02 / 3) * mc_n_<MOSFETname>_vth0
    parameters du0_n_<MOSFETname> = (1.50000e-04 / 3) * mc_n_<MOSFETname>_u0
    parameters dvsat_n_<MOSFETname> = (0.00000e+00 / 3) * mc_n_<MOSFETname>_vsat
    parameters dwint_n_<MOSFETname> = (1.00000e-08 / 3) * mc_n_<MOSFETname>_wint
    parameters dlint_n_<MOSFETname> = (1.00000e-09 / 3) * mc_n_<MOSFETname>_lint
    ...
    //
    statistics {
    process {
    vary mc_n_<MOSFETname>_tox_np dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cj dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cjsw dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cjswg dist=gauss std=sigma/3
    vary mc_p_<MOSFETname>_cj dist=gauss std=sigma/3
    vary mc_p_<MOSFETname>_cjsw dist=gauss std=sigma/3
    ...
    }

    To me sigma is a parameter which is only required for mismatch calculations of Monte Carlo analysis, am I right?


    For my circuit there is not much of variation in Process Only, but there are a lot of disappointing variation in Mismatch Only. I thought that std is in percent, so I changed it to std=0.1 and the Mismatch variations are relatively better. Can anyone tell me that my interpretation is true or not? Please!

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  • ImanKian
    ImanKian over 9 years ago

    Hello all,

    Still I have some doubt about the sigma and std in Monte Carlo analysis in IC5 and MMSIM 12. I realised that the Monte Carlo analysis uses two files, which are:
    <MOSFETname>_mc_statistical_m.mdl.scs and <MOSFETname>_mc_statistical_p.mdl.scs.

    I checked the file '<MOSFETname>_mc_statistical_m.mdl.scs', and apparently it has to do with mismatch analysis of the  below I put content of the file. What does std=1/1 mean?

    simulator lang=spectre insensitive=yes
    parameters mc_n_<MOSFETname>_vth0_ma = 0
    parameters mc_n_<MOSFETname>_u0_ma = 0
    parameters mc_p_<MOSFETname>_vth0_ma = 0
    parameters mc_p_<MOSFETname>_u0_ma = 0
    //
    statistics {
    mismatch {
    vary mc_n_<MOSFETname>_vth0_ma dist=gauss std=1/1
    vary mc_n_<MOSFETname>_u0_ma dist=gauss std=1/1
    vary mc_p_<MOSFETname>_vth0_ma dist=gauss std=1/1
    vary mc_p_<MOSFETname>_u0_ma dist=gauss std=1/1
     }
    }

    -----------------------------------------

    There is another file called '<MOSFETname>_mc_statistical_p.mdl.scs' and as far as I understand it has to do with process analysis in Monte Carlo, and below is the content.

    simulator lang=spectre insensitive=yes
    //
    parameters mc_n_<MOSFETname>_tox_np = 0
    parameters mc_n_<MOSFETname>_cj = 0
    parameters mc_n_<MOSFETname>_cjsw = 0
    parameters mc_n_<MOSFETname>_cjswg = 0
    parameters mc_p_<MOSFETname>_cj = 0
    ...
    //
    parameters dtox_n_<MOSFETname> = 2.7300e-09 * (0.0300 / 3 * mc_n_<MOSFETname>_tox_np)
    parameters dvth0_n_<MOSFETname> = (2.40000e-02 / 3) * mc_n_<MOSFETname>_vth0
    parameters du0_n_<MOSFETname> = (1.50000e-04 / 3) * mc_n_<MOSFETname>_u0
    parameters dvsat_n_<MOSFETname> = (0.00000e+00 / 3) * mc_n_<MOSFETname>_vsat
    parameters dwint_n_<MOSFETname> = (1.00000e-08 / 3) * mc_n_<MOSFETname>_wint
    parameters dlint_n_<MOSFETname> = (1.00000e-09 / 3) * mc_n_<MOSFETname>_lint
    ...
    //
    statistics {
    process {
    vary mc_n_<MOSFETname>_tox_np dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cj dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cjsw dist=gauss std=sigma/3
    vary mc_n_<MOSFETname>_cjswg dist=gauss std=sigma/3
    vary mc_p_<MOSFETname>_cj dist=gauss std=sigma/3
    vary mc_p_<MOSFETname>_cjsw dist=gauss std=sigma/3
    ...
    }

    To me sigma is a parameter which is only required for mismatch calculations of Monte Carlo analysis, am I right?


    For my circuit there is not much of variation in Process Only, but there are a lot of disappointing variation in Mismatch Only. I thought that std is in percent, so I changed it to std=0.1 and the Mismatch variations are relatively better. Can anyone tell me that my interpretation is true or not? Please!

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