Python 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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Basic operations on signal sequences – Addition

GaussianWaves — Mon, 31 Jul 2023 19:30:00 +0000

Key focus: How to implement the basic addition operation on two discrete time signal sequences. Python code for signal addition is provided. Signal addition Given two discrete-time sequences \(x_1[n]\) and \(x_2[n]\), the addition of these two sequences is represented as \(x_1[n]+ x_2[n]\). The start of the sample at \(n=0\) can be different for these two ... Read more

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Complex-valued exponential sequence

GaussianWaves — Wed, 12 Jul 2023 23:11:00 +0000

In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence) A complex-valued exponential sequence in signals and systems is a discrete-time ... Read more

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Real-valued exponential sequence

GaussianWaves — Sun, 09 Jul 2023 00:05:00 +0000

In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, complex exponential sequence) An exponential sequence in signals and systems is a discrete-time sequence ... Read more

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Unit Step Sequence

GaussianWaves — Fri, 07 Jul 2023 22:30:00 +0000

In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit step sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence). Unit Step Sequence A unit step sequence is ... Read more

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Unit sample sequence

GaussianWaves — Thu, 06 Jul 2023 21:00:00 +0000

In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit sample sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence) A unit sample sequence, also known as an ... Read more

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Exploring Orthogonality: From Vectors to Functions

GaussianWaves — Mon, 03 Jul 2023 07:53:38 +0000

Keywords: orthogonality, vectors, functions, dot product, inner product, discrete, Python programming, data analysis, visualization Orthogonality Orthogonality is a mathematical principle that signifies the absence of correlation or relationship between two vectors (signals). It implies that the vectors or signals involved are mutually independent or unrelated. Two vectors (signals) A and B are said to be ... Read more

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Implementing Markov Chain in Python

Mathuranathan — Sun, 20 Mar 2022 15:30:00 +0000

Keywords: Markov Chain, Python, probability, data analysis, data science Markov Chain Markov chain is a probabilistic models that describe a sequence of observations whose occurrence are statistically dependent only on the previous ones. This article is about implementing Markov chain in Python Markov chain is described in one of the earlier posts. For better understanding ... Read more

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Spectrogram Analysis using Python

Mathuranathan — Wed, 16 Mar 2022 08:46:26 +0000

Keywords: Spectrogram, signal processing, time-frequency analysis, speech recognition, music analysis, frequency domain, time domain, python Introduction A spectrogram is a visual representation of the frequency content of a signal over time. Spectrograms are widely used in signal processing applications to analyze and visualize time-varying signals, such as speech and audio signals. In this article, we ... Read more

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Normalized power gain of dipole antennas

Mathuranathan — Tue, 14 Sep 2021 10:57:51 +0000

Key focus: Briefly look at linear antennas and various dipole antennas and plot the normalized power gain pattern in polar plot and three dimensional plot. Linear antennas Linear antennas are electrically thin antennas whose conductor diameter is very small compared to the wavelength of the radiation λ. Viewed in a spherical coordinate system (Figure 1), ... Read more

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