Re: How to Start to learn the Digital Electronics & Analog Design by own self at home
As april1975 said you need to select one or the other for specialization. You certainly can (and should) take courses in the other specialty but it would be very difficult to be an expert in both.
The list of things you would need to study is too long to list here. Look at the courses offered in an engineering college to get an idea.
The basic courses would include electric and magnetic fields, DC and AC circuits, RF and microwave theory, basic semiconductor theory, electronic circuit design, etc.
Edit: There are many online study courses offered. Look those over.