ulia 2023.2.1

Algorithm to emulate a lock-in amplifier

Universal Software Lock-In Amplifier (ULIA)

An effective algorithm to emulate a Lock-In Amplifier.

Quickstart

Installation

To install ulia you can use pip.

ulia package can be installed directly from PyPI using pip (pip3).

$ pip install git+https://gitlab.com/UhlDaniel/ulia.git

or

$ pip install ulia

Dependencies

This package depends on:

• Numpy

• Scipy

• Numba

Usage

A simple example on how to utilize the ULIA.

>>> import numpy as np
>>> import ulia


>>> modulation_frequency = 5000.0
>>> sampling_rate = 200000.0

>>> t = np.arange(0, 0.3*sampling_rate) / sampling_rate
>>> signal = np.cos(2*np.pi*t*modulation_frequency)
>>> reference = np.cos(2*np.pi*t*modulation_frequency)

>>> lia = ulia.ULIA(signal.size, sampling_rate, 0.03, 2, 0.2)
>>> lia.load_data(reference, signal)
>>> lia.execute()


Ignore the first 30% and last 10% of data due to filter artefacts.
>>> x = np.mean(lia.x[int(0.3*lia.x.size):int(0.9*lia.x.size)])
>>> y = np.mean(lia.y[int(0.3*lia.y.size):int(0.9*lia.y.size)])

>>> print(x + 1j * y)

Links

• ULIA on PyPi

• Publication