susa

Susa Open Source Project

Susa is a mathematics and signal processing C++ framework based on KISS principle. It is stand-alone with a modern architecture. It is designed not to have any dependencies to none standard third party libraries. Indeed, a C++17 compiler along with STL is necessary and sufficient in order to compile it. Therefore, portability is the key feature of Susa. For example it can be exploited in mobile platforms such as Android NDK (Native Development Toolkit) without any restriction. This brings the power and speed of the C++ native code to the user friendly Java based mobile applications. Susa is also a simulation framework for the researchers and engineers who design computational systems. It has linear algebra, signal processing and common communications blocks.

The matrix and array template classes i.e. types are the heart of Susa. A vector is a single column (or a single row) matrix. They are bundled with a constellation of classes and functions to process their underlying data.

Highlights

• Algebraic types such as matrix and multi-dimensional array (template classes),
• High and low precision Fixed-Point types (template classes),
• Linear algebraic operations and analysis (e.g. Solvers, Determinant and SVD),
• Signal processing operations (e.g. FFT, Filter (FIR/IIR), Convolution and Random Number Generators),
• Convolutional Forward Error Correction (FEC) blocks: encoder, MLSE (Viterbi) and MAP (BCJR) decoders,
• Channel equalisers: MLSE (Viterbi) and MAP (BCJR),
• Automatic memory management i.e. allocation, deallocation, move and copy.

Build, Test and Install

Build

To build Susa you need to have a C++17 compiler, Make and CMake installed.

mkdir build
cmake -S . -B build/Debug -D CMAKE_BUILD_TYPE=Debug
cmake --build build/Debug -j

Test

It is highly recommended to run the tests after the build.

make test

Should you verify which test(s) has/have been failed, run the following for a more detailed report.

ctest -V

Install

Once it has been built and tested you are ready to code. Assuming your current path is build directory, run

make install

to be able to build against Susa system-wide. However, you may continue using the local build without installation.

Examples

In the examples directory a number of simulation and tutorial source codes have been provided.

Contribution

This is a non-profit project and it belongs to its users. You can contribute to your project by reporting bugs and extending it by following the provided guidelines. This paves the way for further improvements and protects the authors’ rights.

History

Susa was born in April 2008 out of a university project course in digital communications. At the time the libraries that could be used for digital communications simulation had many dependencies (e.g. LAPACK, BLAS and ATLAS). Once it took about six hours on a decent PC to compile one of them. On the other hand those weighty codes had nested bugs that sometimes stemmed from their third party dependencies. The answer to these problems was Susa that was released in November 2008.

Later in early 2009, Susa was used for a bandwidth efficient coding scheme design and simulation, namely, Faster Than Nyquist (FTN). It required performant equalizers to decode up to some twenty taps (compared to the fading channels with few taps). The simulation of such systems took a long time between an hour to a few days. This library could simulate an FTN system with thirteen taps using a modified BCJR algorithm (a sub-optimal variant that could outperform the original algorithm) in about an hour whereas a similar script in a commercial computing software took at least twelve hours. Non-orthogonal a.k.a. FTN waveforms have been considered for the next generation of radio access networks (6th generation).

Unearthed tablets from Susa (2000 BC) revealed a rather precise calculation of $\pi = 3.125$ with the fractional part whereas the other earlier efforts calculated only the integer part. Since the very first line of code was simply the definition of constant Pi, it has been named Susa.

License

Susa has been released under GNU Lesser General Public License (LGPL).