Second-Order Cone Formulations of Mixed-Norm
Error Constraints for FIR Filter Optimization
- D. P. Scholnik and J. O. Coleman
- It has been previously shown that second-order cone
programming (SOCP) can be used to efficiently optimize
FIR filter frequency responses in the sense of L1, L2,
and Linf. Although SOCP cannot be used for the more
general case of Lp minimization, two techniques for
combining norms provide the flexibility to minimize a
continuum of norms from L1 to Linf. The recently
introduced vector epsilon-norm is here extended to
complex functions on an interval of the real line, and
is compared with a simple convex combination of norms.
The dual norms of both are found as well. Discretized
approximations of these norms can be used for filter
design with SOCP, as shown by several examples.
- DOWNLOADABLE PREPRINT:
PDF (1.58 Mbytes),
- Published June 25, 2010 as NRL Memo Report 9239.
Approved for public release; distribution is unlimited.
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