Signal Processing Archives - GaussianWaves

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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Analog and Discrete signals

GaussianWaves — Thu, 06 Jul 2023 06:23:53 +0000

In the context of signal and systems, analog and discrete signals are two different types of signals that convey information. Analog signal An analog signal is a continuous signal that varies smoothly over time. It can take on any value within a certain range. Analog signals are represented by physical quantities such as voltage, current, ... 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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Orthogonality of OFDM

Mathuranathan — Thu, 02 Jun 2022 04:02:00 +0000

OFDM, known as Orthogonal Frequency Division Multiplexing, is a digital modulation technique that divides a wideband signal into several narrowband signals. By doing so, it elongates the symbol duration of each narrowband signal compared to the original wideband signal, effectively minimizing the impact of time dispersion caused by multipath delay spread. OFDM is categorized as ... 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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Line code – demonstration in Matlab and Python

Mathuranathan — Tue, 05 Jan 2021 12:55:27 +0000

Line code is the signaling scheme used to represent data on a communication line. There are several possible mapping schemes available for this purpose. Lets understand and demonstrate line code and PSD (power spectral density) in Matlab & Python. Line codes – requirements When transmitting binary data over long distances encoding the binary data using ... Read more

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