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Using the Fourier Transform definition G(f) = F\g(t)! g(t)e-j2nft dt Find the Fourier transform of g(t) = 58(t-3)

Using the Fourier Transform definition G(f) = F\g(t)! g(t)e-j2nft dt Find the Fourier transform of g(t) = 58(t-3)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Using the Fourier Transform Definition** \[ G(f) = F[g(t)] = \int_{-\infty}^{\infty} g(t) e^{-j2\pi ft} \, dt \] Find the Fourier transform of \( g(t) = 5\delta(t-3) \).
Transcribed Image Text:**Using the Fourier Transform Definition** \[ G(f) = F[g(t)] = \int_{-\infty}^{\infty} g(t) e^{-j2\pi ft} \, dt \] Find the Fourier transform of \( g(t) = 5\delta(t-3) \).
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Step 1

Gf=Fgt=∫-∞∞g(t) e-j2πft  dt

 

The Fourier transform of g(t) = 5δ(t-3) can be found as below.

 

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