Special Matricies

Functions
vec	SPUC::ones (int size)
	A float vector of ones.
bvec	SPUC::ones_b (int size)
	A Binary vector of ones.
ivec	SPUC::ones_i (int size)
	A Int vector of ones.
cvec	SPUC::ones_c (int size)
	A float Complex vector of ones.
mat	SPUC::ones (int rows, int cols)
	A float (rows,cols)-matrix of ones.
bmat	SPUC::ones_b (int rows, int cols)
	A Binary (rows,cols)-matrix of ones.
imat	SPUC::ones_i (int rows, int cols)
	A Int (rows,cols)-matrix of ones.
cmat	SPUC::ones_c (int rows, int cols)
	A Double Complex (rows,cols)-matrix of ones.
vec	SPUC::zeros (int size)
	A Double vector of zeros.
bvec	SPUC::zeros_b (int size)
	A Binary vector of zeros.
ivec	SPUC::zeros_i (int size)
	A Int vector of zeros.
cvec	SPUC::zeros_c (int size)
	A Double Complex vector of zeros.
mat	SPUC::zeros (int rows, int cols)
	A Double (rows,cols)-matrix of zeros.
bmat	SPUC::zeros_b (int rows, int cols)
	A Binary (rows,cols)-matrix of zeros.
imat	SPUC::zeros_i (int rows, int cols)
	A Int (rows,cols)-matrix of zeros.
cmat	SPUC::zeros_c (int rows, int cols)
	A Double Complex (rows,cols)-matrix of zeros.
mat	SPUC::eye (int size)
	A Double (size,size) unit matrix.
bmat	SPUC::eye_b (int size)
	A Binary (size,size) unit matrix.
imat	SPUC::eye_i (int size)
	A Int (size,size) unit matrix.
cmat	SPUC::eye_c (int size)
	A Double Complex (size,size) unit matrix.
template<class T>
void	SPUC::eye (int size, Mat< T > &m)
	A non-copying version of the eye function.
vec	SPUC::impulse (int size)
	Impulse vector.
vec	SPUC::linspace (double from, double to, int length=100)
	Linspace (works in the same way as the matlab version).
imat	SPUC::hadamard (int size)
	A 2^size by 2^size Hadamard matrix.
imat	SPUC::jacobsthal (int p)
	Jacobsthal matrix.
imat	SPUC::conference (int n)
	Conference matrix.

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Function Documentation

imat SPUC::conference (  int  n  )

Conference matrix. Constructs an n by n matrix C, where n=p^m+1=2 (mod 4) and p is a odd prime (not checked). This code only work with m=1, that is n=p+1 and p odd prime. The valid sizes of n is then n=6, 14, 18, 30, 38, ... (and not 10, 26, ...). C has the property that C*C'=(n-1)I, that is it has orthogonal rows and columns in the same way as Hadamard matricies. However, one element in each row (on the diagonal) is zeros. The others are {-1,+1}. For more details see pp. 55-58 in MacWilliams & Sloane "The theory of error correcting codes", North-Holland, 1977.

template<class T> void SPUC::eye (  int  size, Mat< T > &  m )

A non-copying version of the eye function.

mat SPUC::eye (  int  size  )

A Double (size,size) unit matrix.

bmat SPUC::eye_b (  int  size  )

A Binary (size,size) unit matrix.

cmat SPUC::eye_c (  int  size  )

A Double Complex (size,size) unit matrix.

imat SPUC::eye_i (  int  size  )

A Int (size,size) unit matrix.

imat SPUC::hadamard (  int  size  )

A 2^size by 2^size Hadamard matrix.

vec SPUC::impulse (  int  size  )

Impulse vector.

imat SPUC::jacobsthal (  int  p  )

Jacobsthal matrix. Constructs an p by p matrix Q where p is a prime (not checked). The elements in Q {qij} is given by qij=X(j-i), where X(x) is the Legendre symbol given as: X(x)=0 if x is a multiple of p, X(x)=1 if x is a quadratic residue modulo p, X(x)=-1 if x is a quadratic nonresidue modulo p. See Wicker "Error Control Systems for digital communication and storage", p. 134 for more information on these topics. Do not check that p is a prime.

vec SPUC::linspace (  double  from, double  to, int  points )

Linspace (works in the same way as the matlab version).

mat SPUC::ones (  int  rows, int  cols )

A float (rows,cols)-matrix of ones.

vec SPUC::ones (  int  size  )

A float vector of ones.

bmat SPUC::ones_b (  int  rows, int  cols )

A Binary (rows,cols)-matrix of ones.

bvec SPUC::ones_b (  int  size  )

A Binary vector of ones.

cmat SPUC::ones_c (  int  rows, int  cols )

A Double Complex (rows,cols)-matrix of ones.

cvec SPUC::ones_c (  int  size  )

A float Complex vector of ones.

imat SPUC::ones_i (  int  rows, int  cols )

A Int (rows,cols)-matrix of ones.

ivec SPUC::ones_i (  int  size  )

A Int vector of ones.

mat SPUC::zeros (  int  rows, int  cols )

A Double (rows,cols)-matrix of zeros.

vec SPUC::zeros (  int  size  )

A Double vector of zeros.

bmat SPUC::zeros_b (  int  rows, int  cols )

A Binary (rows,cols)-matrix of zeros.

bvec SPUC::zeros_b (  int  size  )

A Binary vector of zeros.

cmat SPUC::zeros_c (  int  rows, int  cols )

A Double Complex (rows,cols)-matrix of zeros.

cvec SPUC::zeros_c (  int  size  )

A Double Complex vector of zeros.

imat SPUC::zeros_i (  int  rows, int  cols )

A Int (rows,cols)-matrix of zeros.

ivec SPUC::zeros_i (  int  size  )

A Int vector of zeros.

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