mutualCoherence {R1magic} | R Documentation |
Cumulative mutual coherence
Description
Generate vector of cumulative mutual coherence of a given matrix up to a given order. \
Mutual Cumulative Coherence of a Matrix A at order k is defined as
M(A, k) = max_{p} max_{p \ne q, q \in \Omega } \sum_{q} | <a_{p}, a_{q}> | / ( |a_{p}| |a_{q}|)
Usage
mutualCoherence(A, k)
Arguments
A |
A matrix. |
k |
Integer value determines number of columns or the order of mutual coherence function to . |
Value
Returns k-vector
Author(s)
Mehmet Suzen
References
Compressed sensing in diffuse optical tomography \ M. Suzen, A.Giannoula and T. Durduran, \ Opt. Express 18, 23676-23690 (2010) \ J. A. Tropp \ Greed is good: algorithmic results for sparse approximation, \IEEE Trans. Inf. Theory 50, 2231-2242 (2004)
Examples
set.seed(42)
B <- matrix(rnorm(100), 10, 10) # Gaussian Random Matrix
mutualCoherence(B, 3) # mutual coherence up to order k
[Package R1magic version 0.3.4 Index]