# mutualCoherence: Cumulative mutual coherence In R1magic: Compressive Sampling: Sparse Signal Recovery Utilities

## 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 Ω } ∑_{q} | <a_{p}, a_{q}> | / ( |a_{p}| |a_{q}|)

## Usage

 1 mutualCoherence(A, k) 

## Arguments

 A A matrix. k Integer value determines number of columns or the order of mutual coherence function to .

Returns k-vector

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

 1 2 3 set.seed(42) B <- matrix(rnorm(100), 10, 10) # Gaussian Random Matrix mutualCoherence(B, 3) # mutual coherence up to order k 

R1magic documentation built on May 29, 2017, 9:28 p.m.