Describe how the organizations culture can filter the perception of
the environment and what the organization can do to overcome any
perception problems.

Cool  question, and will let an expert give you
better answer.  Will try to toss out some ideas:
Think about what is perceived about the environment
that would be of interest to the organization.
Future expectations of the company
Threats/opportunities
Likelihood of success of proposed initiatives
Quality of executive team (my favorite)
Future of firm's and competitive products
Technological breakthroughs and their impacts
Salary parity as compared to the industry/locale

Then think 'how can they alter this.'
Memos
Investment and Alliance decisions
Corporate Strategy or focus
Pay scales and HR policities
Hiring.....

In rereading your question, I think I may be treating
this as a 'Management' versus 'Staff' issue and
using Management as a substitute for the culture.
You may want to clarify are you treating this as 
'we the organization' and 'our culture' as what exists
to define the organization and how we can change it?

One of my favorite culture books is Peter Scott
Morgan's "Unwritten Rules of the Game."  Puts
a very, almost quantitative structure around culture
and allows you to act to modify it.  Great for
engineering types and people who don't like
talking about 'soft' subjects.  Good luck!