Conditional normal random distribution

Hi,

I would like to create a spiral in matlab while the radius is dependent on the angle theath in the following way:

thate is N daimentional vector sampled from a uniform distrbution. the radius r in sampled from normal conditional distrbusion where the expectation mu is dependent on theata.

How can i define a conditional distrbusion in matalb?

Thanks

Answer 1

[Paul]

I'm going to assume that for any value of theta, the radius (rho) is normally distributed with mean 2*theta and variance = sigma^2 = 1. Then

>> theta=rand(1000,1)*2*pi;  % uniformly distributed theta over 0 - 2pi
>> rho=normrnd(2*theta,1);
>> plot(rho.*cos(theta),rho.*sin(theta),'.'

Is this what you're looking for?

[Orr Streicher]

great theanks!