69 lines
3.0 KiB
Mathematica
69 lines
3.0 KiB
Mathematica
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clear all;
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close all;
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% original float point version
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gauss_coef = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.231548e-14, 2.007605e-11, 7.561773e-09, 1.197935e-06, 8.050684e-05, 2.326833e-03, 2.959908e-02, 1.727474e-01, 4.999195e-01, 8.249246e-01, 9.408018e-01, 8.249246e-01, 4.999195e-01, 1.727474e-01, 2.959908e-02, 2.326833e-03, 8.050684e-05, 1.197935e-06, 7.561773e-09, 2.007605e-11, 2.231548e-14, 0];
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%plot(gauss_coef, 'r+-'); axis([0 length(gauss_coef) 0 0.0001]);
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% short it to 16 points:
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gauss_coef = [7.561773e-09, 1.197935e-06, 8.050684e-05, 2.326833e-03, 2.959908e-02, 1.727474e-01, 4.999195e-01, 8.249246e-01, 9.408018e-01, 8.249246e-01, 4.999195e-01, 1.727474e-01, 2.959908e-02, 2.326833e-03, 8.050684e-05, 1.197935e-06];
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%plot(gauss_coef, 'r+-');
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SAMPLE_PER_SYMBOL = 4;
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LEN_GAUSS_FILTER = length(gauss_coef)/SAMPLE_PER_SYMBOL;
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MAX_NUM_PHY_BYTE = 47;
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MAX_NUM_PHY_SAMPLE = ((MAX_NUM_PHY_BYTE*8*SAMPLE_PER_SYMBOL)+(LEN_GAUSS_FILTER*SAMPLE_PER_SYMBOL));
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MOD_IDX = 0.5;
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AMPLITUDE = 127;
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tmp_phy_bit_over_sampling = zeros(1, MAX_NUM_PHY_SAMPLE + 2*LEN_GAUSS_FILTER*SAMPLE_PER_SYMBOL);
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tmp_phy_bit_over_sampling = zeros(1, MAX_NUM_PHY_SAMPLE);
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num_bit = MAX_NUM_PHY_BYTE*8;
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%bit = round(rand(1, num_bit));
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bit = get_number;
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num_bit_oversample = num_bit*SAMPLE_PER_SYMBOL;
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len_gauss_oversample = LEN_GAUSS_FILTER*SAMPLE_PER_SYMBOL;
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num_sample = num_bit_oversample + len_gauss_oversample;
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pre_len = len_gauss_oversample-1;
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tmp_phy_bit_over_sampling(1:pre_len) = 0.0;
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post_sp = num_bit_oversample + pre_len + 1;
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post_ep = post_sp + pre_len - 1;
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tmp_phy_bit_over_sampling(post_sp:post_ep) = 0.0;
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tmp_phy_bit_over_sampling((pre_len+1):(pre_len+num_bit_oversample)) = 0;
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tmp_phy_bit_over_sampling((pre_len+1):SAMPLE_PER_SYMBOL:(pre_len+num_bit_oversample)) = bit.*2 - 1;
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% len_conv_result = length(tmp_phy_bit_over_sampling) - len_gauss_oversample + 1
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% = post_ep - len_gauss_oversample + 1
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% = num_bit_oversample + pre_len + 1 + pre_len - 1 - len_gauss_oversample + 1
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% = num_bit_oversample + 2*(len_gauss_oversample-1) - len_gauss_oversample + 1
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% = num_bit_oversample + len_gauss_oversample - 1
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len_conv_result = num_sample - 1;
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% -------------------------------------- float point reference -----------------------------------------------
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for i = 1 : len_conv_result
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acc = 0;
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for j = 1 : len_gauss_oversample
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acc = acc + gauss_coef(len_gauss_oversample-j+1)*tmp_phy_bit_over_sampling(i+j-1); %num_sample - 1+len_gauss_oversample-1= length(tmp_phy_bit_over_sampling)
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end
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tmp_phy_bit_over_sampling1(i) = acc;
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end
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tmp = 0;
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sample = zeros(1, 2*num_sample);
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sample(1) = round( cos(tmp)*AMPLITUDE );
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sample(2) = round( sin(tmp)*AMPLITUDE );
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for i=2:num_sample
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tmp = tmp + (pi*MOD_IDX)*tmp_phy_bit_over_sampling1(i-1)/(SAMPLE_PER_SYMBOL);
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sample((i-1)*2 + 1) = round( cos(tmp)*AMPLITUDE );
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sample((i-1)*2 + 2) = round( sin(tmp)*AMPLITUDE );
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end
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figure(1);
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subplot(2,1,1); plot(sample);
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ref_sample = get_number1;
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hold on; plot(ref_sample, 'r.');
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subplot(2,1,2); plot(abs(sample-ref_sample));
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