GaussianWaves

Basic operations on signal sequences – Addition

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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

Complex-valued exponential sequence

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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

Real-valued exponential sequence

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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

Unit Step Sequence

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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

Unit sample sequence

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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

Analog and Discrete signals

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In the context of signal and systems, analog and discrete signals are two different types of signals that convey information. This post contains interactive python code which you can execute in the browser itself. Analog signal An analog signal is a continuous signal that varies smoothly over time. It can take on any value within … Read more

Exploring Orthogonality: From Vectors to Functions

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Keywords: orthogonality, vectors, functions, dot product, inner product, discrete, Python programming, data analysis, visualization This post contains interactive python code which you can execute in the browser itself. 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 … Read more