how do I generate 100000 bits of ones and zeros with norm distribution mean=5 and standard deviation of 3? I have tried thismu = 5; sigm= 3; x2 = -20:0.1:20; y2 = normrnd(10

I'm trying to generate 100000 bits for ones and 100000 bit for zeros . basically 5 should represent by 1 and -5 by a zero. This is what i have tried

sigma=3, mean=5
x=-20:0.1:20;
y=normpdf(100000, mu sigma)
plot(x,y)

I have tried the zero(100000,-20,20)

the plot plot are looks likethe normal distribution

The y axis range from 0 to 4000 in increments of 500

[Torsten]

It's not clear for me what you are trying to do.

[gerald bamundaga]

I need to compute the bit error rate of a channel where zero has a mean -5 and sigma of 3 and one has mean of 5 and sigma of 3. the probability of one is 50%. compute the bit error rate using simulation of10000 ones and 10000 zeros. plot the pdf. Do it analytically using normcdf,erf or erfc.

Answer 1

[Abhishek Chakram]

Hi gerald,

It appears to me that you are trying to generate 100000 bits of ones and zeros with a norm distribution mean of 5 and standard deviation of 3. Here is an example code for achieving the same:

% Parameters
num_ones = 100000; % Number of ones
num_zeros = 100000; % Number of zeros
mean_one = 5; % Mean for one
mean_zero = -5; % Mean for zero
sigma = 3; % Standard deviation for both zero and one

% Generate random bits for ones and zeros
ones = (rand(1, num_ones) < 0.5) * (mean_one - mean_zero) + mean_zero;
zeros = (rand(1, num_zeros) < 0.5) * (mean_one - mean_zero) + mean_zero;

% Plot the PDF
x = -20:0.1:20; % Range of x values for PDF
pdf_one = normpdf(x, mean_one, sigma);
pdf_zero = normpdf(x, mean_zero, sigma);

figure;
hold on;
plot(x, pdf_one, 'r', 'LineWidth', 2);
plot(x, pdf_zero, 'b', 'LineWidth', 2);
xlabel('Symbol Value');
ylabel('Probability Density');
title('PDF of Zero and One Symbols');
legend('One', 'Zero');
grid on;

Best Regards,

Abhishek Chakram