Is this your mother?
Yes, It is.
In the short dialogue. "This your" is pronounced as a linking sound just like one word.
Look at the short answer. "It is' is pronounced as a linking sound as well. It is pronounced like one word.
Repeat after me.
Would you check whether my explanation is correct?
Do I have to use 'as' after pronounced? Is the expression 'linking sound' correct?
Yes, the explanation is correct, and yes, you need the word "as."
The term "linking sound" is good for these particular words. It's good for you do differentiate between this fast-linking pronunciation and actual elision (the sliding of sounds together) such as when the word "the" loses its "e" sound in front of some words.
You can check on "elision" here:
=)posted by Writeacher