cosine_transform

cosine_transform, an Octave code which demonstrates some simple properties of the discrete cosine transform (DCT) for real data.

The code is not optimized in any way, and is intended instead for investigation and education.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

cosine_transform is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

cosine_transform_test

sftpack, a MATLAB code which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

walsh, a MATLAB code which implements versions of the Walsh and Haar transforms.

Reference:

1. William Briggs, Van Emden Henson,
   The DFT: An Owner's Manual for the Discrete Fourier Transform,
   SIAM, 1995,
   ISBN13: 978-0-898713-42-8,
   LC: QA403.5.B75.
2. Eleanor Chu, Alan George,
   Inside the FFT Black Box,
   CRC Press,
   ISBN: 0849302706,
   LC: QA403.5C5.

Source Code:

• cosine_transform_data.m, does a cosine transform on a vector of data.
• cosine_transform_inverse.m, does an inverse cosine transform on a vector of cosine transform coefficients.