https://github.com/scivision/signal_subspace

vector and ensemble signal analysis w/ subspace methods such as Esprit and RootMusic
https://github.com/scivision/signal_subspace

esprit f2py frequency-estimation modern-fortran music root-music

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vector and ensemble signal analysis w/ subspace methods such as Esprit and RootMusic

• Host: GitHub
• URL: https://github.com/scivision/signal_subspace
• Owner: scivision
• License: mit
• Created: 2016-03-13T08:30:35.000Z (almost 9 years ago)
• Default Branch: main
• Last Pushed: 2024-05-10T03:20:00.000Z (8 months ago)
• Last Synced: 2024-09-29T23:12:42.919Z (3 months ago)
• Topics: esprit, f2py, frequency-estimation, modern-fortran, music, root-music
• Language: Python
• Homepage:
• Size: 360 KB
• Stars: 24
• Watchers: 8
• Forks: 6
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.txt

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README

        
# Signal Subspace

![ci_python](https://github.com/scivision/signal_subspace/workflows/ci_python/badge.svg)

![ci_cmake](https://github.com/scivision/signal_subspace/workflows/ci_cmake/badge.svg)

[![PyPi Download stats](http://pepy.tech/badge/signal_subspace)](http://pepy.tech/project/signal_subspace)

1-D and ensemble signal subspace analysis with methods such as Esprit

and RootMusic in Fortran, C, and Python

based in part upon the

[Spectral Analysis Lib public domain code](https://github.com/vincentchoqueuse/spectral_analysis_project)

The core subspace code is written in Fortran 2008 and is called from other languages (Python, C).

Since the programs are Fortran / Python based, they should compile and run in virtually any platform from embedded to supercomputer.

```sh

cmake -B build

cmake --build build

```

If Lapack is not available, it is built automatically.

In 2023-2024, F2PY and Numpy are going through a transition of build systems.

[CMake script build the f2py bindings](https://numpy.org/doc/stable/f2py/buildtools/cmake.html)

are used to build the f2py targets that allow Python use of this library.

```sh

cmake -B build -Dpython=yes

cmake --build build

```

In the examples below, observe the frequency estimates printed along with their corresponding eigenvalues.

A larger eigenvalue is increased confidence in that particular frequency estimate.

## ESPRIT examples

All example use a noisy sinusoid.

Some are "complex" using complex numbers, while others use real numbers.

There are two versions of the complex program, one a full accuracy using `double complex` numbers, and the other using `single real` numbers as input.

The single real (4 bytes/number) runs about 4 times faster than the double complex (16 bytes/number) program.

```sh

build/f_esprit_cmpl

build/f_esprit_real

```

Call Fortran Esprit from C using real single precision float:

```sh

build/c_esprit

```

Call Fortran Esprit from C++ using real single precision float:

```sh

build/cpp_esprit

```

---

Plots comparing real vs. complex ESPRIT:

```sh

python BasicEspritExample.py

```