MATLAB Programs Offered by Mathworks

Mathworks offers many collections of MATLAB functions, referred to as toolboxes, that include a great variety
of functions and programs for specific applications. The most important of them for the analysis and design of
digital filters and their application to signal processing are the Signal Processing and Image Processing Toolboxes.
Some MATLAB functions that belong to these toolboxes are as follows:

Signal Processing Toolbox

• angle Calculates the angle of a complex number
• conv Performs convolution or polynomial multiplication
• conv2 Two-dimensional convolution
• dct Discrete cosine transform
• dftmtx Discrete Fourier transform matrix
• fft Fast Fourier transform
• fft2 Two-dimensional discrete Fourier transform
• filter One-dimensional digital filter
• filter2 Two-dimensional digital filter
• fir1 FIR filter design using the window method
• fir2 FIR filter design using the frequency sampling method
• firpm Parks-McClellan optimal equiripple FIR filter design
• freqz Frequency response of digital filter
• hamming Hamming window
• idct Inverse discrete cosine transform
• ifft Inverse fast Fourier transform
• ifft2 Inverse two-dimensional fast Fourier transform
• interp Increase sampling rate by using interpolation
• interp1 One-dimensional data interpolation
• kaiser Kaiser window
• resample Change the sampling rate of a signal
• residuez Z-transform partial-fraction expansion
• stem Plots a discrete-time signal
• The are many other useful MATLAB functions in the Signal Processing Toolbox, see the following lists:
  Alphabetical, By Category.

Image Processing Toolbox

• dct2 Two-dimensional discrete cosine transform
• dctmtx Discrete cosine transform matrix
• idct2 Inverse two-dimensional discrete cosine transform
• imfilter N-dimensional filtering of multidimensional images

Optimization Toolbox

• fminbnd Single-variable bounded nonlinear function minimization
• fmincon Finds a constrained minimum of a function of several variables
• linprog Linear programming
• quadprog Quadratic programming

Some Other Useful MATLAB Functions and Programs

• CVX MATLAB-based modeling system for convex optimization
• eig Evaluate eigenvalues and eigenvectors
• freqz2 Frequency response of two-dimensional FIR filters
• iirlpnorm Design of IIR filters using the least-pth norm using unconstrained optimization
• iirlpnormc Design of IIR filters using the least-pth norm using constrained optimization
• polyval Evaluate polynomial
• roots Find polynomial roots
• SDTP3 MATLAB software for semidefinite-quadratic-linear programming (includes a download link)
• SeDuMi Matlab toolbox for optimization over symmetric cones (includes a download link)
• SeDuMi Download links
• svd Evaluates singular value decomposition
• An extensive collection of available MATLAB functions can be found at the following lists:
  Alphabetical, By Category.

Programs Posted at Mathworks File Exchange Website

• Design of Digital Filters The package can be used to design FIR and IIR digital filters
  satisfying prescribed specifications and it is largely based on methodologies found in Digital Signal Processing:
  Signals, Systems, and Filters. It was developed by Iman Moazzen based on his project work while taking a
  graduate course offered by Dr. A. Antoniou.
• Design of Filter Banks The package can be used to design filter banks satisfying prescribed specifications
  using FIR (nonrecursive) filters. It was developed by Iman Moazzen.
• Design of Fast Filter Banks The program can be used to design filter banks using nonrecursive (FIR) filters
  such that the stopband energy in the analysis and synthesis filters is minimized. It was developed by Iman
  Moazzen.

MATLAB Programs Written by the Author

While writing the various editions of his book, the author developed many MATLAB programs, and a collection will be
posted in this section as soon as they are made more user friendly.

Return to home page