Plotting Unit Impulse, Unit Step, Unit Ramp and Exponential Function in MATLAB
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Plotting Unit Impulse, Unit Step, Unit Ramp and Exponential Function in MATLAB
In this blog post, we will explore how to plot basic discrete-time signals in MATLAB, including the Unit Impulse, Unit Step, Unit Ramp, and Exponential Function. These fundamental signals are commonly used in signal processing and control systems. Below is a MATLAB script that plots these four signals using the stem() function, which is used ...
Aug 17, 2015
Dirac delta function Definition
SOLVED: The Dirac δ functionThe delta function can also be described by the Gaussian functionδ(x) = lim δ(z) = lim exp(-|z|^2/2a^2)Use the definition of the δ function Eq (1) to prove the following identities.∫ δ(x)dx = 1∫ δ(c*x)dx = 1/c∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|
SOLVED: The Dirac δ functionThe delta function can also be described by the Gaussian functionδ(x) = lim δ(z) = lim exp(-|z|^2/2a^2)Use the definition of the δ function Eq (1) to prove the following identities.∫ δ(x)dx = 1∫ δ(c*x)dx = 1/c∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|
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Dec 25, 2022
Dirac's Delta Function / Impulse Function: Simple Definition
Dirac's Delta Function / Impulse Function: Simple Definition
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