Tips & Tricks Archives - GaussianWaves

Error Vector Magnitude (EVM) and Its Applications

Mathuranathan — Tue, 13 Aug 2024 18:30:00 +0000

Error Vector Magnitude (EVM) is a key performance metric in communication systems, particularly in digital modulation schemes. It quantifies the difference between the actual transmitted signal and the received signal, thereby measuring the quality of the transmitted signal. EVM is expressed as a percentage or in decibels (dB). Applications of EVM EVM is a crucial ... Read more

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Design FIR filter to reject unwanted frequencies

Mathuranathan — Tue, 25 Feb 2020 07:31:18 +0000

Let’s see how to design a simple digital FIR filter to reject unwanted frequencies in an incoming signal. As a per-requisite, I urge you to read through this post: Introduction to digital filter design Background on transfer function The transfer function of a system provides the underlying support for ascertaining vital system response characteristics without ... Read more

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Digital filter design – Introduction

Mathuranathan — Thu, 13 Feb 2020 06:52:32 +0000

Key focus: Develop basic understanding of digital filter design. Learn about fundamentals of FIR and IIR filters and the design choices. Analog filters and digital filters are the two major classification of filters, depending on the type of signal signal they process. An analog filter, processes continuous-time signal analog signals. Whereas, digital filters process sampled, ... Read more

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Linear regression using python – demystified

Mathuranathan — Wed, 05 Feb 2020 06:52:00 +0000

Key focus: Let’s demonstrate basics of univariate linear regression using Python SciPy functions. Train the model and use it for predictions. Linear regression model Regression is a framework for fitting models to data. At a fundamental level, a linear regression model assumes linear relationship between input variables () and the output variable (). The input ... Read more

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Generating simulated dataset for regression problems

Mathuranathan — Fri, 31 Jan 2020 03:00:12 +0000

Key focus: Generating simulated dataset for regression problems using sklearn make_regression function (Python 3) is discussed in this article. Problem statement Suppose, a survey is conducted among the employees of a company. In that survey, the salary and the years of experience of the employees are collected. The aim of this data collection is to ... Read more

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Plot audio file as time series using Scipy python

Mathuranathan — Thu, 23 Jan 2020 07:41:29 +0000

Often the most basic step in signal processing of audio files, one would like to visualize an audio sample file as time-series data. Audio sounds can be thought of as an one-dimensional vector that stores numerical values corresponding to each sample. The time-series plot is a two dimensional plot of those sample values as a ... Read more

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Plot FFT using Python – FFT of sine wave & cosine wave

Mathuranathan — Wed, 22 Jan 2020 09:09:05 +0000

Key focus: Learn how to plot FFT of sine wave and cosine wave using Python. Understand FFTshift. Plot one-sided, double-sided and normalized spectrum using FFT. Introduction Numerous texts are available to explain the basics of Discrete Fourier Transform and its very efficient implementation – Fast Fourier Transform (FFT). Often we are confronted with the need ... Read more

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Phase demodulation via Hilbert transform: Hands-on

Mathuranathan — Tue, 06 Jun 2017 08:28:44 +0000

Key focus: Demodulation of phase modulated signal by extracting instantaneous phase can be done using Hilbert transform. Hands-on demo in Python & Matlab. Phase modulated signal: The concept of instantaneous amplitude/phase/frequency are fundamental to information communication and appears in many signal processing application. We know that a monochromatic signal of form x(t) = a cos(ω ... Read more

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Extract envelope, phase using Hilbert transform: Demo

Mathuranathan — Mon, 24 Apr 2017 08:56:26 +0000

Key focus: Learn how to use Hilbert transform to extract envelope, instantaneous phase and frequency from a modulated signal. Hands-on demo using Python & Matlab. If you would like to brush-up the basics on analytic signal and how it related to Hilbert transform, you may visit article: Understanding Analytic Signal and Hilbert Transform Introduction The ... Read more

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Understanding Analytic Signal and Hilbert Transform

Mathuranathan — Thu, 20 Apr 2017 09:52:00 +0000

Key focus of this article: Understand the relationship between analytic signal, Hilbert transform and FFT. Hands-on demonstration using Python and Matlab. Introduction Fourier Transform of a real-valued signal is complex-symmetric. It implies that the content at negative frequencies are redundant with respect to the positive frequencies. In their works, Gabor [1] and Ville [2], aimed ... Read more

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