! Required information Consider the following signals. 8 (t) 4tri (÷) – 2tri (÷) The CTFT of g(f) is G(f) Asinc² (Bf) – Csinc² (Df) The numerical values of the constants are A = B= C= and D=
! Required information Consider the following signals. 8 (t) 4tri (÷) – 2tri (÷) The CTFT of g(f) is G(f) Asinc² (Bf) – Csinc² (Df) The numerical values of the constants are A = B= C= and D=
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![### Required Information
Consider the following signals.
\[
g(t) = 4 \, \text{tri} \left(\frac{t}{4}\right) - 2 \, \text{tri} \left(\frac{t}{2}\right)
\]
The CTFT of \( g(t) \) is
\[
\mathcal{G}(\mathfrak{f}) = A \, \text{sinc}^2 (Bf) - C \, \text{sinc}^2 (Df)
\]
The numerical values of the constants are \( A = \square \), \( B = \square \), \( C = \square \), and \( D = \square \).
---
Note: The image contains a mathematical expression involving the continuous-time Fourier transform (CTFT) of a signal represented by a triangular function \( \text{tri} \). The constants \( A \), \( B \), \( C \), and \( D \) are to be determined. The CTFT formulation involves squared sinc functions, which commonly appear in signal processing analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b94d5d1-8249-4b1b-8d70-6007d482e8f0%2Fe475a0c3-11a1-40e4-bf1e-081aff475e2b%2F65ivre6_processed.png&w=3840&q=75)
Transcribed Image Text:### Required Information
Consider the following signals.
\[
g(t) = 4 \, \text{tri} \left(\frac{t}{4}\right) - 2 \, \text{tri} \left(\frac{t}{2}\right)
\]
The CTFT of \( g(t) \) is
\[
\mathcal{G}(\mathfrak{f}) = A \, \text{sinc}^2 (Bf) - C \, \text{sinc}^2 (Df)
\]
The numerical values of the constants are \( A = \square \), \( B = \square \), \( C = \square \), and \( D = \square \).
---
Note: The image contains a mathematical expression involving the continuous-time Fourier transform (CTFT) of a signal represented by a triangular function \( \text{tri} \). The constants \( A \), \( B \), \( C \), and \( D \) are to be determined. The CTFT formulation involves squared sinc functions, which commonly appear in signal processing analysis.
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