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We often wish a transfer function where H ( ω ) 1 for 0 ω ω p and H ( ω ) 0 for ω s ω π for given constants ω p , ω s . One possible formulation for achieving this is

minimize t subject to 0 H ( ω ) ω [ 0 , π ] 1 δ H ( ω ) 1 + δ ω [ 0 , ω p ] H ( ω ) t ω [ ω s , π ] ,

which corresponds to minimizing H ( w ) on the interval [ ω s , π ] while allowing H ( w ) to depart from unity by a small amount δ on the interval [ 0 , ω p ] . Using the results from Sec. 6.2.7 (Nonnegative trigonometric polynomials) (in particular (6.31) , (6.32) and (6.33) ), we can pose this as a conic optimization problem

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Cerebral Palsy Research Network
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The Cerebral Palsy Research Network (CPRN) is a group of doctors, therapists and patient advocates collaborating to improve treatments and outcomes for people with CP. The network combines the expertise of doctors and therapists committed to treating CP with clinical epidemiologists and rigorous data collection practices to plan and execute high quality clinical trials and quality improvement protocols.


The mission of the Cerebral Palsy Research Network (CPRN) is to improve outcomes for people with cerebral palsy through high quality clinical research and quality initiatives.

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Posted by on
June 11, 2018
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Ralph Nitkin, PhD, Deputy Director of NCMRR

Research CP

The second day was spent in breakout groups to brainstorm new study interest in areas that are most important to the community. Breakout groups worked on major themes of the Research CP agenda including:

Multiple ideas for studies were proposed in each of these groups and CPRN is developing new study groups to provide leadership to pursue these research opportunities.

Some the CPRN investigators at the Armadillo Palace

Rich Stevenson and Mary Gannotti v. the good guys!

“We should do this annually. It’s critical for continued engagement. Many of those at the meeting are the “front line workers” who understand the critical research questions in patients with CP, and without active engagement spurred by meetings like this, people with busy schedules tend to invest their time elsewhere.”

Community Advisors Jennifer Lyman, Nancy Yagodich and Lisa Diller

“I am honored to have had the opportunity to share our story, our hopes and our dreams with the driven, dedicated and passionate investigative team that makes up CPRN. As a parent of a child with complex CP, it is heartwarming to see firsthand CPRN’s commitment to research that will improve outcomes, participation and the quality of life of all those with CP.” – Jennifer Lyman – mother of a child with CP and coordinator of the CP Collaborative.

“I have found the investigator meeting to be invaluable. It has ignited a renewed hope and the assurance that meaningful, full-scale clinical research studies will be conducted as evidenced through the dedication and collaborative efforts of the investigators of CPRN. Both hope and knowledge are necessary to build endurance, purpose, and resilience as the day-to-day challenges of CP are met.” – Nancy Yagodich – adult who has CP.

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