Title is misleading. It is not about small company or large company. You are
actually looking for career path suggestions.
1. Analog IC design engineering
Or
2. System engineering
Your other background (DSP) will be of little use, if you choose to do
analog IC design. Mixed-signal IC design can actually use some of your DSP
background. Also, analog IC design is very different from analog board level
design, once you choose the system engineering route, there is no way to go
back.
System engineer