Math Meth Sig Proc
Math Meth Sig Proc EECS 551
Popular in Course
Popular in Engineering Computer Science
This 1 page Class Notes was uploaded by Ophelia Ritchie on Thursday October 29, 2015. The Class Notes belongs to EECS 551 at University of Michigan taught by Staff in Fall. Since its upload, it has received 37 views. For similar materials see /class/231542/eecs-551-university-of-michigan in Engineering Computer Science at University of Michigan.
Reviews for Math Meth Sig Proc
Report this Material
What is Karma?
Karma is the currency of StudySoup.
You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!
Date Created: 10/29/15
SPLINES AND BATTLELEMARIE WAVELET Splines Piecewise polynomial approximation to functions 1 Divide up real line into intervals 2 Within interval use polynomial of degree k 3 At boundaries called knots have continuous Lia 11 Basis for spline spaces B splines B s VampK notation is awful Summary of notation source B s 7quotB s fsampledB s VampK sWNw sm w BWNM aey SNW SNltW SNltW De nitions sinw2 2N B spllne order 2N 1 SQN1ltCU W2 2N1 B spline order 2N SQNltCUgt e JI V2 Note even order splines shifted by 12 in time so that snt7 0for0lttltN1 80tpulse 31ttriangle 82tquadratic etc VkN piecewise polynomials of degree N over intervals 2 2kj 1 j E integers having continuous 12 at t ij Have chain of subspaces V1N C VON C V C gt sNt satis es 2 scale equation Mt Orthogonal to its integer translations f H f lttt jdtsampled autocorrelation 1 1 J 0 d j0 e 22 Xltw 2km 1 sampling induces periodicity in w
Are you sure you want to buy this material for
You're already Subscribed!
Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'