sine_transform

sine_transform, a Python code which demonstrates some simple properties of the discrete sine transform 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:

sine_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:

cosine_transform, a Python code which demonstrates some simple properties of the discrete cosine transform for real data.

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

• sine_transform.py, the source code.
• sine_transform.sh, runs all the tests;
• sine_transform.txt, the output file.

• sine_interpolant.png, a PNG image comparing the function and interpolant of a polynomial.
• sine_interpolant.png, a PNG image comparing the function and interpolant of a cosine sum.