Using the C++ Math Library

Data Analysis and Fourier Transform Functions

Basic Operations 

Function	Purpose
cumprod	Cumulative product of elements.
cumsum	Cumulative sum of elements.
cumtrapz	Cumulative trapezoidal numerical integration.
max	Largest component.
mean	Average or mean value.
median	Median value.
min	Smallest component.
prod	Product of elements.
sort	Sort in ascending order.
sortrows	Sort rows in ascending order.
std	Standard deviation.
sum	Sum of elements.
trapz	Numerical integration using trapezoidal method.

Finite Differences 

Function	Purpose
del2	Five-point discrete Laplacian.
diff	Difference function and approximate derivative.
gradient	Approximate gradient.

Correlation 

Function	Purpose
corrcoef	Correlation coefficients.
cov	Covariance matrix.
subspace	Angle between two subspaces.

Filtering and Convolution 

Function	Purpose
conv	Convolution and polynomial multiplication.
conv2	Two-dimensional convolution.
deconv	Deconvolution and polynomial division.
filter	One-dimensional digital filter.
filter2	Two-dimensional digital filter.

Fourier Transforms 

Function	Purpose
fft	Discrete Fourier transform.
fft2	Two-dimensional discrete Fourier transform.
fftn	Multidimensional fast Fourier transform.
fftshift	Move zeroth lag to center of spectrum.
ifft	Inverse discrete Fourier transform.
ifft2	Two-dimensional inverse discrete Fourier transform.
ifftn	Inverse multidimensional fast Fourier transform.

Sound and Audio 

Function	Purpose
freqspace	Frequency spacing for frequency response.
lin2mu	Convert linear signal to mu-law encoding.
mu2lin	Convert mu-law encoding to linear signal.

Numerical Linear Algebra

Polynomial and Interpolation Functions