Change in Measurement error variance

Hi,
I want to know if there is a way to change the variance of Measurement error through time, I mean, is it possible to change the variance of a measurement error or a shock in an especific moment of time?
Thanks in advance
I want to know if there is a way to change the variance of Measurement error through time, I mean, is it possible to change the variance of a measurement error or a shock in an especific moment of time?
Thanks in advance