The Fourier transform of the triangular pulse $f(t)$ shown in Figure 1(a) is given by: $\frac{1}{\omega^2}(e^{j\omega} - j\omega e^{j\omega} - 1)$ Use $F(\omega)$ and the time-shifting and time-scaling properties as needed to find the Fourier transforms of the signals $f_1(t)$ to $f_5(t)$ shown in Figure 1(b)-(f).

          The Fourier transform of the triangular pulse $f(t)$ shown in Figure 1(a) is given by:

$\frac{1}{\omega^2}(e^{j\omega} - j\omega e^{j\omega} - 1)$

Use $F(\omega)$ and the time-shifting and time-scaling properties as needed to find the Fourier transforms of
the signals $f_1(t)$ to $f_5(t)$ shown in Figure 1(b)-(f).

The Fourier transform of the triangular pulse f(t) shown in Figure 1(a) is given by:

(1)/(ω^2)(e^jω - jω e^jω - 1)

Use F(ω) and the time-shifting and time-scaling properties as needed to find the Fourier transforms of
the signals f1(t) to f5(t) shown in Figure 1(b)-(f).

Added by Melissa R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

Step 1

We can represent it as follows: f(t) = 1 - |t|, -1 <= t <= 1 0, otherwise Now, let's find the Fourier transform of f(t) using the given formula: F(w) = a√(z(e^(jw) - jwe^(jw) - 1)) Since we don't have specific values for a, z, and the range of t, we'll leave Show more…

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The Fourier transform of the triangular pulse f(t) shown in Figure 1(a) is given by: F(w) = aâˆš(z(e^(jw) - jwe^(jw) - 1)) Use F(w) and the time-shifting and time-scaling properties as needed to find the Fourier transforms of the signals f1(t) to f5(t) shown in Figure 1(b)-(f).