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You can either write your answers to theoretical questions on paper or
(preferably) edit them in the file hw4/paper.tex. Please show all the
mathematical derivations that you perform.
- The conjugate gradient algorithm is applied to iteratively optimizing
for
starting with
. Prove that, after
-th iteration, the solution is given by
, where
|
(1) |
and
is the model step at
-th iteration.
- If the model shaping operator
admits a
symmetric splitting
with square and invertable
, the model shaping equation can be rewritten in a symmetric form
|
(2) |
- Prove equation (10).
- Assuming a symmetric splitting for the data shaping operator
, find a symmetric form of the data shaping equation
|
(3) |
Next: Match Filtering for Attenuation
Up: Homework 4
Previous: Prerequisites
2014-10-21