What that sentence means is you should generate $x_t^{(i)}$ from the distribution of $p(x_t|x^{(i)}_{t−1})$. 

For an alternative introduction to particle filters I recommend An Overview of Existing Methods and Recent Advances in Sequential Monte Carlo

MATLAB has numerous toolboxes on particle filters. If you are working in C++, here is an implementation you can use to compare your code with.

Very simple particle filters algorithm (sequential monte carlo method) implementation
can we put custom date field &amp; custom picklist field with no's in it. IN start(SartDateTime) field in event object with trigger code. plz can any one provide me with a sample code please

when event is created for opportunity, date field and picklist field should override the star feild and populate the custom fields values.
