Copy mpw-1 folder from OpenFASOC repo

mpw-1/testsetup/MATLAB/CalcAcc.m

@@ -0,0 +1,60 @@
+ChipNo_list = [11, 12, 13, 14, 15, 16];
+temp_list = -40:10:120;
+supply_list = [1.8];
+TZiK = 273.15; scale = 1;
+p1 = 5; % 0C
+p2 = 13; % 80C
+
+plim_low = 3; % -20C
+plim_high = 15; % 100C
+
+% Re-organize Measured Data
+freq_data_array = zeros(length(temp_list), length(supply_list), length(ChipNo_list), 64);
+for c=1:length(ChipNo_list)
+    for t=1:length(temp_list)
+        for s=1:length(supply_list)
+            file = ['../MeasResults/ChipNo', num2str(ChipNo_list(c)), '/Meas_ChipNo', num2str(ChipNo_list(c)), '_Vdio3.0Vdd', num2str(supply_list(s)), '_', num2str(temp_list(t)), 'C.csv'];
+            dtable = readtable(file, 'PreserveVariableNames', 1);
+            for design = 1:64
+                freq_data_array(t, s, c, design) = table2array(dtable(design, 'Freq0 (kHz)'));
+            end
+        end
+    end
+end
+
+% Fit each node
+param_array = zeros(2, length(supply_list), length(ChipNo_list), 64);
+T_array = zeros(length(temp_list), length(supply_list), length(ChipNo_list), 64);
+T_err_array = zeros(length(temp_list), length(supply_list), length(ChipNo_list), 64);
+err_range_array = zeros(4, length(supply_list), length(ChipNo_list), 64);
+
+for c=1:length(ChipNo_list)
+    for design = 1:64
+        for s = 1:length(supply_list)
+            freq_list = freq_data_array(:, s, c, design);
+            k = (temp_list(p2)-temp_list(p1)) / (log(freq_list(p2))*(temp_list(p2) + TZiK)*scale - log(freq_list(p1))*(temp_list(p1) + TZiK)*scale);
+            b = -k*log(freq_list(p1))*(temp_list(p1) + TZiK)*scale;
+            param_array(1, s, c, design) = k; param_array(2, s, c, design) = b;
+
+            for t = 1:length(temp_list)
+                T_array(t, s, c, design) = (scale * TZiK * k * log(freq_list(t)) + b) / (1 - scale * k * log(freq_list(t)));
+                T_err_array(t, s, c, design) = T_array(t, s, c, design) - temp_list(t);
+            end
+            err_range_array(1, s, c, design) = max(T_err_array(plim_low:plim_high, s, c, design)); % largest positive error
+            err_range_array(2, s, c, design) = min(T_err_array(plim_low:plim_high, s, c, design)); % largest negative error
+            err_range_array(3, s, c, design) = max(abs(T_err_array(plim_low:plim_high, s, c, design))); % largest absolute error
+            err_range_array(4, s, c, design) = sum(abs(T_err_array(plim_low:plim_high, s, c, design)))/(plim_high - plim_low + 1 - 2); % mean absolute error
+        end
+    end
+end
+
+c = 4;
+[max_abs_error_lst, design] = min(err_range_array(3, 1, c, :));
+fprintf("At 1.8V, Design %d has lowest maximum absolute error of %.4f \n", design, max_abs_error_lst);
+[mean_abs_error_lst, design] = min(err_range_array(4, 1, c, :));
+fprintf("At 1.8V, Design %d has lowest mean absolute error of %.4f \n", design, mean_abs_error_lst);
+
+%[max_abs_error_lst, design] = min(err_range_array(3, 2, c, :));
+%fprintf("At 1.2V, Design %d has lowest maximum absolute error of %.4f \n", design, max_abs_error_lst);
+%[mean_abs_error_lst, design] = min(err_range_array(4, 2, c, :));
+%fprintf("At 1.2V, Design %d has lowest mean absolute error of %.4f \n", design, mean_abs_error_lst);

mpw-1/testsetup/MATLAB/DesignToConfig.m

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+clc; clear all;
+% This script generates an excel sheet that maps the design number of a
+% sensor to its silicon configurations: header type, std cell type, N_hdr
+% and N_inv.
+
+% Initialize Arrays
+SensorDesign = zeros(64,1);
+HeaderType = strings(64,1);
+StdCellType = strings(64,1);
+N_hdr = zeros(64,1);
+N_inv = zeros(64,1);
+
+for i = 0:63
+    SensorDesign(i+1, 1) = i;
+
+    % Determine Header Type
+    hdrType = floor(i/32);
+    if (hdrType == 0)
+        HeaderType(i+1, 1) = "A";
+    else
+        HeaderType(i+1, 1) = "B";
+    end
+
+    % Determine StdCellType
+    stdCellType = floor(mod(i, 32)/16);
+    if (stdCellType == 0)
+        StdCellType(i+1, 1) = "hs";
+    else
+        StdCellType(i+1, 1) = "hd";
+    end
+
+    % Determine N_hdr
+    N_hdr(i+1, 1) = 2*floor(mod(i, 16)/4) + 3;
+
+    % Determine N_inv
+    N_inv(i+1, 1) = 2*mod(i, 4) + 5;
+end
+
+T = table(SensorDesign, HeaderType, StdCellType, N_hdr, N_inv);
+filename = "../SensorToConfigMapping.xlsx";
+writetable(T, filename, 'Sheet', 'Sheet', 'WriteVariableNames', true);

mpw-1/testsetup/MATLAB/EvalDesignFoM.m

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+function [design, FoM, power, res, EnC] = EvalDesignFoM(drange, min_order, inacc_B_arr, inacc_th, FoM_B_arr, power_B_arr, res_B_arr, EnC_B_arr)
+% Find the best design based on FoM
+
+design = 1;
+FoM_min = 1e6;
+for i = 1:length(drange)
+    d = drange(i);
+    % Only find for those with a reasonable inaccuracy
+    if (inacc_B_arr(1, d) < inacc_th)
+        [~, sorted_ind] = sort(FoM_B_arr(1, :, d));
+        FoM_Nth_min = FoM_B_arr(1, sorted_ind(min_order), d);
+        if (FoM_Nth_min < FoM_min) && (FoM_Nth_min > 0)
+            FoM_min = FoM_Nth_min;
+            design = d;
+        end
+    end
+end
+
+[~, sorted_ind] = sort(FoM_B_arr(1, :, design));
+FoM = FoM_B_arr(1, sorted_ind(min_order), design);
+power = power_B_arr(1, sorted_ind(min_order), design);
+res = res_B_arr(1, sorted_ind(min_order), design);
+EnC = EnC_B_arr(1, sorted_ind(min_order), design);
+
+end

mpw-1/testsetup/MATLAB/EvalDesignGivenRange.m

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+function [params, inacc_arr, params_sec, inacc_arr_sec, Nc_A, indlist_A, inacc_B, indlist_B] = ...
+    EvalDesignGivenRange(freq_arr, tlist, tstart_ind, twin_len, pcalib, inacc_th, Nc_B, order_sec)
+% This function evaluate a single temperature design/instance's inaccuracy
+% across multiple chips under a given temperature range.
+% It returns fitted parameter pairs for each chip,
+% inaccuracies across chips and temperatures, and
+% metric A: the number of chips with inaccuracy below a threshold and
+% their indices, and
+% metric B: the minimal-possible max-inaccuracy given the number of good
+% chips we need, also return the their indices.
+
+% metric A is about the best reliability or least variation
+% while metric B is about the best inaccuracy
+
+% Input:
+%   freq_arr - Ntemp x Nchip
+%   tlist - Ntemp x 1
+%   tstart_ind - 1x1, index of starting temperature
+%   twin_len - 1x1, length of temperature range, in 10C-step indices
+%   pcalib - 1x1, calibration point index w.r.t. tstart_ind, e.g., 2 means
+%       20C above tlow and under thigh
+%   inacc_th - 1x1, threshold of inaccuracy
+%   Nc_B - 1x1, number of good chips we need
+
+% Output:
+%   params - 2 x Nchip
+%   inacc_arr - Ntemp x Nchip
+%   Nc_A - 1x1, the number of chips with inaccuracy below a threshold
+%   indlist_A - 2 x Nchip, the chip indices for metric A
+%   inacc_B - 1x1, the minimal-possible max-inaccuracy given Nc_B,
+%   indlist_B - 2 x Nc_B, the chip indices for metric B
+
+TZiK = 273.15; scale = 1;
+
+[Ntemp, Nchip] = size(freq_arr);
+params = zeros(2, Nchip);
+T_array = zeros(Ntemp, Nchip);
+inacc_arr = zeros(Ntemp, Nchip);
+metric_arr = zeros(3, Nchip);
+
+% Fit the design for each chip
+p1 = tstart_ind + pcalib;
+p2 = tstart_ind + twin_len - pcalib;
+for c = 1:Nchip
+    % Fit the curve
+    flist = freq_arr(:, c);
+    k = (tlist(p2) - tlist(p1)) / (log(flist(p2)) * (tlist(p2) + TZiK) * scale - log(flist(p1)) * (tlist(p1) + TZiK) * scale);
+    b = tlist(p1) - k * log(flist(p1)) * (tlist(p1) + TZiK) * scale;
+    params(1, c) = k; params(2, c) = b;
+
+    % Calculate estimated temperatures and inaccuracies
+    for t = 1:Ntemp
+        T_array(t, c) = (scale * TZiK * k * log(flist(t)) + b) / (1 - scale * k * log(flist(t)));
+        inacc_arr(t, c) = T_array(t, c) - tlist(t);
+    end
+
+    % Calculate max inaccuracies in the given range
+    if ( sum(isnan(inacc_arr(tstart_ind:(tstart_ind + twin_len), c))) == 0 )
+        metric_arr(1, c) = max(inacc_arr(tstart_ind:(tstart_ind + twin_len), c)); % largest positive error
+        metric_arr(2, c) = min(inacc_arr(tstart_ind:(tstart_ind + twin_len), c)); % largest negative error
+        metric_arr(3, c) = max(abs(metric_arr(1,c)), abs(metric_arr(2,c))); % largest absolute error
+    else
+        metric_arr(:, c) = [NaN; NaN; NaN];
+    end
+end
+
+% Metric A
+Nc_A = 0; indlist_A = zeros(2, Nchip);
+for c = 1:Nchip
+    if (metric_arr(3, c) <= inacc_th)
+        Nc_A = Nc_A + 1;
+        indlist_A(:, Nc_A) = [c; metric_arr(3,c)];
+    end
+end
+
+% Metric B
+[sorted_inacc, sorted_ind] = sort(metric_arr(3, :));
+inacc_B = sorted_inacc(Nc_B);
+indlist_B = [sorted_ind(1:Nc_B); sorted_inacc(1:Nc_B)];
+
+% Systematic Error Correction
+if (inacc_B < 20) % Only do SEC when inaccuracy is not too bad
+        % get the estimated temp of best Nc_B chips
+    T_est = T_array(tstart_ind:(tstart_ind + twin_len), indlist_B(1, :));
+        % define Nth-order polynomial correction: T_sec = pN * T_est^N + ... + p1 * T_est + p0
+        % param = [p0, p1, ... pN]
+    T_left = tlist(tstart_ind:(tstart_ind + twin_len))';
+    T_sec  = @(param, T) PolyNthOrder(param, T);
+    T_right = @(param, T) mean(T_sec(param, T), 2);
+        % Do Optimization
+    param0 = zeros(1, order_sec + 1); param0(2) = 1;
+    opts = optimoptions('lsqcurvefit', 'Display','off');
+    [params_sec, ~, ~, ~, ~] = lsqcurvefit(T_right, param0, T_est, T_left, [], [], opts);
+        % Calculate Corrected Temperature estimation and errors
+    T_array_sec = T_sec(params_sec, T_array);
+    inacc_arr_sec = T_array_sec - tlist';
+else
+    params_sec = zeros(1, order_sec+1); params_sec(2) = 1;
+    inacc_arr_sec = inacc_arr;
+end
+
+end

mpw-1/testsetup/MATLAB/EvalDesignInacc.m

@@ -0,0 +1,27 @@
+function [design, inacc_sub_arr, inacc_sub_arr_sec, pos_inacc, neg_inacc, sigma, sigma_sec, pos_sigma_inacc, neg_sigma_inacc] = EvalDesignInacc(drange, inacc_arr, inacc_arr_sec, inacc_B_arr, indlist_B_arr, tstart_ind, twin_len)
+% Find the best design based on inacc_B given design # range, and evaluate
+% its inaccuracies
+
+[~, design] = min(inacc_B_arr(1, drange));
+design = drange(design);
+
+inacc_sub_arr = inacc_arr(tstart_ind:(tstart_ind + twin_len), indlist_B_arr(1, :, design), design);
+inacc_sub_arr_sec = inacc_arr_sec(tstart_ind:(tstart_ind + twin_len), indlist_B_arr(1, :, design), design);
+    % Calculate Max/Min Inaccuracy
+pos_inacc = max(max(inacc_sub_arr));
+neg_inacc = min(min(inacc_sub_arr));
+pos_inacc_sec = max(max(inacc_sub_arr_sec));
+neg_inacc_sec = min(min(inacc_sub_arr_sec));
+pos_inacc = [pos_inacc; pos_inacc_sec];
+neg_inacc = [neg_inacc; neg_inacc_sec];
+    % Calculate 3-sigma Inaccuracy
+sigma = [3*std(inacc_sub_arr, 1, 2), -3*std(inacc_sub_arr, 1, 2)] + mean(inacc_sub_arr, 2);
+pos_sigma_inacc = max(max(sigma));
+neg_sigma_inacc = min(min(sigma));
+sigma_sec = [3*std(inacc_sub_arr_sec, 1, 2), -3*std(inacc_sub_arr_sec, 1, 2)] + mean(inacc_sub_arr_sec, 2);
+pos_sigma_inacc_sec = max(max(sigma_sec));
+neg_sigma_inacc_sec = min(min(sigma_sec));
+pos_sigma_inacc = [pos_sigma_inacc; pos_sigma_inacc_sec];
+neg_sigma_inacc = [neg_sigma_inacc; neg_sigma_inacc_sec];
+
+end

mpw-1/testsetup/MATLAB/ExploreHighRange.m

@@ -0,0 +1,53 @@
+fprintf("Explore High Temp Range......\n");
+% Explore high-temp range
+tstart_ind  = 5; % 0C
+twin_len    = 12; % 0C + 120C = 120C
+pcalib      = 1; % +/- 10C calibration
+    % Explore the best designs out of 64
+params_arr = zeros(2, Nchip, 64);
+inacc_arr  = zeros(Ntemp, Nchip, 64);
+params_sec_arr = zeros(order_sec + 1, 64);
+inacc_arr_sec = zeros(Ntemp, Nchip, 64);
+Nc_A_arr = zeros(1, 64);
+indlist_A_arr = zeros(2, Nchip, 64);
+inacc_B_arr = zeros(1, 64);
+indlist_B_arr = zeros(2, Nc_B, 64);
+for design = 1:64
+    freq_arr = freq_data_array(:, :, design);
+    [params, inacc, params_sec, inacc_sec, Nc_A, indlist_A, inacc_B, indlist_B] = ...
+        EvalDesignGivenRange(freq_arr, tlist, tstart_ind, twin_len, pcalib, inacc_th, Nc_B, order_sec);
+    params_arr(:, :, design) = params;
+    inacc_arr(:, :, design) = inacc;
+    params_sec_arr(:, design) = params_sec;
+    inacc_arr_sec(:, :, design) = inacc_sec;
+    Nc_A_arr(:, design) = Nc_A;
+    indlist_A_arr(:, :, design) = indlist_A;
+    inacc_B_arr(:, design) = inacc_B;
+    indlist_B_arr(:, :, design) = indlist_B;
+end
+
+% Best design with header-A
+[design, inacc_sub_arr, inacc_sub_arr_sec, pos_inacc, neg_inacc, ~, sigma_sec, pos_sigma_inacc, neg_sigma_inacc] = ...
+    EvalDesignInacc(1:32, inacc_arr, inacc_arr_sec, inacc_B_arr, indlist_B_arr, tstart_ind, twin_len);
+fprintf("Header-A Design %d has lowest maximum absolute error. \n", design);
+fprintf("Max/Min error w/o SEC is %f/+%f degreeC. \n", neg_inacc(1), pos_inacc(1));
+fprintf("3-sigma error w/o SEC is %f/+%f degreeC. \n", neg_sigma_inacc(1), pos_sigma_inacc(1));
+fprintf("Max/Min error w/ SEC is %f/+%f degreeC. \n", neg_inacc(2), pos_inacc(2));
+fprintf("3-sigma error w/ SEC is %f/+%f degreeC. \n", neg_sigma_inacc(2), pos_sigma_inacc(2));
+    % Plot Inaccuracy and 3-sigma against temp
+[fig, hdl] = PlotInacc(fig, tlist(tstart_ind:(tstart_ind + twin_len)), inacc_sub_arr, inacc_sub_arr_sec, sigma_sec, design);
+saveas(hdl, './Figures/InaccVStemp_hdrA_hr.emf');
+fprintf("\n");
+
+% Best design with header-B
+[design, inacc_sub_arr, inacc_sub_arr_sec, pos_inacc, neg_inacc, ~, sigma_sec, pos_sigma_inacc, neg_sigma_inacc] = ...
+    EvalDesignInacc(33:64, inacc_arr, inacc_arr_sec, inacc_B_arr, indlist_B_arr, tstart_ind, twin_len);
+fprintf("Header-B Design %d has lowest maximum absolute error. \n", design);
+fprintf("Max/Min error w/o SEC is %f/+%f degreeC. \n", neg_inacc(1), pos_inacc(1));
+fprintf("3-sigma error w/o SEC is %f/+%f degreeC. \n", neg_sigma_inacc(1), pos_sigma_inacc(1));
+fprintf("Max/Min error w/ SEC is %f/+%f degreeC. \n", neg_inacc(2), pos_inacc(2));
+fprintf("3-sigma error w/ SEC is %f/+%f degreeC. \n", neg_sigma_inacc(2), pos_sigma_inacc(2));
+    % Plot Inaccuracy and 3-sigma against temp
+[fig, hdl] = PlotInacc(fig, tlist(tstart_ind:(tstart_ind + twin_len)), inacc_sub_arr, inacc_sub_arr_sec, sigma_sec, design);
+saveas(hdl, './Figures/InaccVStemp_hdrB_hr.emf');
+fprintf("\n");