Practical communications, science & engineering

How to Calculate Matrix Inverse in Python

How to Calculate Matrix Inverse in Python

Matrix inversion is one of the fundamental operations in linear algebra. It's analogous to division in ordinary algebra. Thus, making it crucial, for example, when solving many linear systems. All essential Python linear algebra libraries support matrix inversion. We will have a look two most popular ones: NumPy and SciPy.

How to Calculate Cholesky Decomposition in Python

How to Calculate Cholesky Decomposition in Python

Cholesky decomposition is a widely used matrix factorization method for hermitian positive-definite matrices. It provides many computational benefits for varying algorithms, such as solving linear systems. We go through how to calculate Cholesky decomposition using the essential scientific computation libraries for Python: NumPy & SciPy. Additionally, we go show you a

How to Calculate Eigenvalue Decomposition in Python

How to Calculate Eigenvalue Decomposition in Python

Eigenvalue decomposition (EVD) or eigendecomposition for short is an important matrix factorization method, which is extensively used in various science and engineering applications. In this post, we will go through the most popular Python packages for calculating the eigenvalue decomposition. These packages are 1. NumPy: Anyone doing scientific computation and

How to Calculate Singular Value Decomposition (SVD) in Python

How to Calculate Singular Value Decomposition (SVD) in Python

Singular value decomposition (SVD) is one of the most significant matrix decomposition techniques. It should be in the toolbox of anyone working on linear algebra. Python has many great packages that provide support for basic linear algebra. We will go through some of these, and also see how to create

PCA Using Python: Image Compression

PCA Using Python: Image Compression

Principal component analysis PCA provides an intuitive and analytically sound basis for various applications. Image compression is one of the most applied uses of PCA. We are utilizing scikit-learn or sklearn for short to perform the heavy lifting in principal component analysis. No point in reinventing the wheel, by implementing

How to Calculate Percentile in Python?

How to Calculate Percentile in Python?

Percentiles are among the most common tools for statistical analysis. They are used to determine a number (score) under which a given percentage of samples fall into. For instance, the 50% percentile is essentially the median, the value under which half of the samples fall into. I will walk through

How to Compile Perf with all Features on?

How to Compile Perf with all Features on?

Want perf with all the features. Here's how to compile it yourself with all features enabled.

Measuring Function Execution Time with Perf

Measuring Function Execution Time with Perf

In this post, I will show you how to use perf to evaluate function or code block execution time. This requires a bit of effort as perf is essentially a sampling profiler, which collects execution statistics periodically and when specific events occur. As such, perf does not automatically execution time

How to Perform Perf Profiling in WSL2

How to Perform Perf Profiling in WSL2

In this post, we take a look at what is the status of code profiling using perf on WSL2? Suppose you are like me, and your company policy forces you to work with Windows-based systems. In that case, Windows Subsystem for Linux (WSL) is likely the most convenient way of

$How to get beautiful mathematics in Canva$

How to get beautiful mathematics in Canva

Learn how to get beautiful and complex mathematical equations and expressions into Canva.

4 Ways to Calculate Convolution in Python

4 Ways to Calculate Convolution in Python

How to calculate convolution in Python. Here are the 3 most popular python packages for convolution + a pure Python implementation.

Calculating Power Spectral Density in Python

Calculating Power Spectral Density in Python

How to calculate power spectral density (PSD) in Python using the essential signal processing packages.

Water-filling algorithm implemented using Matlab & Octave

Water-filling algorithm implemented using Matlab & Octave

In this post, I'm going to show you how to implement the water-filling algorithm using Matlab & Octave. Matlab is a great numerical computations tool, which has been widely adopted by engineers and scientists for all sorts of numerical computations. Water-filling is a generic method for allocating transmission power over (equalizing)

Top Python Visualization Libraries for Data Scientists

Top Python Visualization Libraries for Data Scientists

Introduction to essential data visualization libraries for data scientists. Find the best package to visualize your data.

Convex Optimization with Octave: Status Check 2022

Convex Optimization with Octave: Status Check 2022

Octave [https://www.gnu.org/software/octave/index] is a fantastic open-source alternative to Matlab. It provides more-or-less compatible core functionality to Matlab by Mathworks. This is great for those who like the hassle-free approach that Matlab provides for numerical computation, but do not want to or can't buy an

The Water-Filling Algorithm: In-depth Explanation

The Water-Filling Algorithm: In-depth Explanation

What is the capacity optimal way of allocating power over multiple simultaneous transmissions? This is a common question that arises time and time again in communications. In general, it is not an easy question to answer. In many cases, the problem turns out to be NP-hard, and we need to

Binary Symmetric Channel

Binary Symmetric Channel

The binary symmetric channel (BSC) is one of the simplest channel models to consider. It is usually the starting point when we begin to study information and coding theory. This model is really worth spending some time and effort to understand as it builds up the foundation for more complex

How to Do Cross-Correlation in Python: 4 Different Methods

How to Do Cross-Correlation in Python: 4 Different Methods

💡Update 22.6.2022: Fixed date set generation. Cross-correlation is a basic signal processing method, which is used to analyze the similarity between two signals with different lags. Not only can you get an idea of how well the two signals match with each other, but you also get the

Rust with Serverless Framework: Introduction

Rust with Serverless Framework: Introduction

Introduction on how to deploy simple Lambda function in AWS using Rust programming language.

Convex Optimization in Python: 3 Essential Packages

Convex Optimization in Python: 3 Essential Packages

Python has taken a big role in scientific computation and engineering. Packages, such as NumPy and SciPy, are heavily relied on in various computational applications and day-to-day research. How about computational optimization? We will have a look at the 3 most popular Python packages for computational optimization. More specifically, we

4 Ways of Calculating Autocorrelation in Python

4 Ways of Calculating Autocorrelation in Python

Autocorrelation is a function that provides a correlation of a data set with itself on different delays (lags). This has many applications in statistics and signal processing. This subject was also touched on in our previous post on how to write a pitch detection algorithm in Python using autocorrelation. What

AWS Cognito Authentication with Grafana Part 2: User roles

AWS Cognito Authentication with Grafana Part 2: User roles

In this second installment of the AWS Cognito IDP for the Grafana series, we will see how to assign user roles based on the Cognito groups that the user is assigned to. In short, we will create a user group 'Admin' in AWS Cognito and assign the Admin right in

Prevent screen flickering and tearing while screen recording

Prevent screen flickering and tearing while screen recording

Screen flickering and tearing can be super annoying while you are trying to capture a full-screen recording of your screen. This is usually caused by a compositing window manager [https://en.wikipedia.org/wiki/Compositing_window_manager], which quite often is the case these days. Compositors are visually great and

AWS Cognito Authentication with Grafana Part 1: Local setup

AWS Cognito Authentication with Grafana Part 1: Local setup

In the AWS Cognito authentication with Grafana series, I will walk through how to set up Grafana with AWS Cognito user authentication. There are a few resources for this lying around in the Grafana forums and StackOverflow, but all of them are partial. In this first part, I'll show you

Pitch detection using Python and autocorrelation

Pitch detection using Python and autocorrelation

Pitch detection algorithm in python. Using autocorrelation as the dominant frequency detection tool.