COSINE_TRANSFORM
A Discrete Cosine Transform for Real Data

COSINE_TRANSFORM is a Python library 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 GNU LGPL license.

Languages:

COSINE_TRANSFORM is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

SFTPACK, a Python library which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

SINE_TRANSFORM, a Python library which demonstrates some simple properties of the discrete sine transform.

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.py, does a cosine transform on a vector of data.
• cosine_transform_test.sh, runs the tests;
• cosine_transform_test.txt, the output file.

You can go up one level to the Python source codes.