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 information on this web page is 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 an Octave 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.

haar_transform, a Python code which computes the Haar transform of data.

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

walsh_transform, a Python 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:

• 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.