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a Python package to synthesize, simulate, scale and map to implementable topologies delta sigma modulators.

Project description

A port of the MATLAB Delta Sigma Toolbox based on free software and very little sleep

The python-deltasigma is a Python package to synthesize, simulate, scale and map to implementable topologies delta sigma modulators.

It aims to provide a 1:1 Python port of Richard Schreier’s *excellent* `MATLAB Delta Sigma Toolbox <>`_, the de facto standard tool for high-level delta sigma simulation, upon which it is very heavily based. alpha



Latest version: 0.1

Build Status Coverage Status PyPi version PyPi downloads BSD 2 clause license DOI BADGE


python-deltasigma runs on Linux, Mac OS X and Windows.

Installing requires Python 2.6+ or 3.3+, numpy, scipy (>= 0.11.0) and matplotlib.

Strongly recommended: Cython - for significantly faster delta sigma modulator simulations.

They are packaged by virtually all the major Linux distributions.

I do not run Windows, so I can’t really provide more info (sorry), except that people tell me they manage to have a working setup.

When the dependencies are satisfied, run:

pip install deltasigma

to install the latest stable version from the Python Package Index (PYPI), or:

python install

if you’re installing a development version from Git.


Install the `sphinx <>`__ package to build the documentation yourself.

The test suite requires `setuptools <>`__, used to access the reference function outputs.

Testing can be automated with `nose <>`__, issuing:

nosetests -v deltasigma/*.py


In addition to the notebooks found in the examples/ directory, ported from the MATLAB Delta Sigma toolbox:

  1. You can find the included package documentation online.

  2. The original MATLAB Toolbox provides in-depth documentation, which is very useful to understand what the toolbox is capable of. See DSToolbox.pdf and OnePageStory.pdf (PDF warning).

  3. The book:

    Richard Schreier, Gabor C. Temes, Understanding Delta-Sigma Data Converters, ISBN: 978-0-471-46585-0, November 2004, Wiley-IEEE Press

    is probably the most authoritative resource on the topic. Chapter 8-9 show how to use the MATLAB toolkit and the observations apply also to this Python port. Links on amazon, on the Wiley-IEEE press.

    I am not affiliated with neither the sellers nor the authors.

Version 0.1 series

The 0.1 series features support for (real) baseband and passband modulator topologies.

0.1-6: sinc_decimate() fix, NTF matching method in realizeNTF_ct()
  • An off-by-1 indexing bug was found in sinc_decimate(), all users are strongly recommended to update.
  • Add NTF matching method to realizeNTF_ct().
0.1-5: CRFFD support, separate tests, less verbosity and DOC fixes.
  • Add CRFFD support (see realizeNTF, mapABCD and stuffABCD).
  • Move all tests to a dedicated location (tests/).
  • Ensure float64 is the data representation when simulating DSM.
  • Add the simulations_backends variable and its doc.
  • Cython: disable cblas extension on Win. Reduce verbosity.
  • Multiple minor fixes to ensure scalars are never returned in place of arrays.

Many thanks to Shayne Hodge for reporting issues with deltasigma on Windows and several patches to the test suite.

0.1-4: Cython implementation of simulateDSM(), PEP8 and DOC fixes.
  • deltasigma/_simulateDSM_cblas.pyx and deltasigma/_simulateDSM_scipy_blas.pyx, Cython implementation from pydsm of simulateDSM(), available if Cython is, providing a 70x speed-up of DSM simulations.
  • More documentation improvements and PEP8-related fixes.
0.1-3: Bugfixes, PEP8, more test coverage
  • deltasigma/ now supports FF topologies.
  • deltasigma/ now supports MIMO systems.
  • pretty_lti() has been improved to provide the prettiest printing of LTIs to date.
  • Many documentation improvements and PEP8-related fixes.
0.1-2: Bugfixes, PEP8, DOC and most importantly a, g, b, c reshape.
  • The a, g, b, c coefficients are now 1-dimensional.
  • deltasigma/ scalar b bugfix.
  • deltasigma/ fix bin width.
  • deltasigma/ add mround(), round compatibly with MATLAB.
  • deltasigma/ add root multiplicity support in pretty_lti().
  • deltasigma/ bugfix in cplxpair for incoherent complex values.
0.1-1: Bugfix: most importantly fix realizeNTF_ct().
  • deltasigma/ Fixes for multi-timing, add unit tests for FB.
  • deltasigma/ Bugfix (reshape missing assignment), fix documentation formatting.
  • deltasigma/ Fix plot. Add unit test.
  • deltasigma/ Fix docstring.
  • deltasigma/ Use matplotlib’s stem function. Enforce PEP8. Add support for color ‘None’.

0.1: Bugfix: missing copy() in mapABCD().

0.1rc4 : Multiple bugfixes. Py3k fixes. Test coverage up to 85+%.

0.1rc3 : Fix file-not-found issue with

0.1rc2 : Fix travis and support.

0.1rc1 : Initial release

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