Question

3. (40pt) Suppose an analog signal $g(t)$ is multiplied by a periodic signal $c(t)$ defined as $c(t) = h(t) * \delta_{T_s}(t)$, (17) where $h(t) = \text{rect}(\frac{t}{T})$ is a rectangular pulse with pulse duration $T$ and $\delta_{T_s}(t)$ is Dirac comb function with a period $T_s$. Assume that $f_sT \ll 1$. Let $s(t) = g(t)c(t)$. Find the expression of Fourier transform of $s(t)$ which does not have complex exponential function.

          3. (40pt) Suppose an analog signal $g(t)$ is multiplied by a periodic signal $c(t)$ defined as
$c(t) = h(t) * \delta_{T_s}(t)$, (17)
where $h(t) = \text{rect}(\frac{t}{T})$ is a rectangular pulse with pulse duration $T$ and $\delta_{T_s}(t)$ is Dirac comb
function with a period $T_s$. Assume that $f_sT \ll 1$. Let $s(t) = g(t)c(t)$.
Find the expression of Fourier transform of $s(t)$ which does not have complex exponential
function.

3. (40pt) Suppose an analog signal g(t) is multiplied by a periodic signal c(t) defined as
c(t) = h(t) * δTs(t), (17)
where h(t) = rect((t)/(T)) is a rectangular pulse with pulse duration T and δTs(t) is Dirac comb
function with a period Ts. Assume that fsT ≪ 1. Let s(t) = g(t)c(t).
Find the expression of Fourier transform of s(t) which does not have complex exponential
function.

Added by Michelle M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

06/26/2023

Step 1

Step 1: The Fourier transform of a signal s(t) is given by: S(f) = ∫[s(t)e^(-j2πft)] dt Show more…

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3. (40pt) Suppose an analog signal g(t) is multiplied by a periodic signal c(t) defined as c(t) =h(t) * &Ts(t), (17) where h(t) = rect () is a rectangular pulse with pulse duration T and &T,(t) is Dirac comb function with a period Ts. Assume that fsT < 1. Let s(t) = g(t)c(t). Find the expression of Fourier transform of s(t) which does not have complex exponential function.