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The Fourier transform of the following signal 2(t) = cos (F.) () is X(s) 47 cos(278) 772 – 167232 where II is the rectangle function defined in A2 (a)(iii). Determine the Fourier transform of the function 47 Cos (2) y(t) 72 – 16722
1) Prove following Fourier transform: x(t)cos (Wot+0) 3 jx(w-wo)el® + X(w+w)e=;8]
7. The signal x(t) shown below is modulated (multiplied) by cos(10nt). Find the Fourier transform of x(t)cos(10nt) and neatly sketch the magnitude? Useful transform pairs. rect (9) = t sinc (); «(t)cos (Wgt) }(x(w+wo) + X(w – wo)); «(t – to) ~X(w)e-juto (10 points) x(+) 1 t
Calculate the Fourier transform for f(t) - e-3t by calculating the Fourier transform integral. Calculate the magnitude |F(o)| and sketch the magnitude |F(o)| as a function ofo. Calculate the Fourier transform for f(t) - e-3t by calculating the Fourier transform integral. Calculate the magnitude |F(o)| and sketch the magnitude |F(o)| as a function ofo.
الناز Wo e 2 If f(t) = 2jwot, What is the Fourier Transform of f(2t - 1). 786-w)e О 203 (+20)e+ 70 (+w) en 2006-..). المال
Fourier Integral #3 is demostrate Fourier Integral and #4 is calculate transform Integral de Fourier 4w B(w) = T(1 + w?)? 3. Sea: f(x) = xe-HI Pruebe que: A(w) = 0 Transformada 4. Calcule la transformada de f(x) = || if 0 5x<1 0 otherwise ---
3. If x(t) has the Fourier transform j2π f + 10 Find the Fourier transform of the following signals Hint: use the properties of Fourier transform) a. v(t)-x(1):cos(10π t) d. v(t)X(t) e. v()-e"x(t-1)
how to derive the underlying signal x(t) using the definition of the Inverse Fourier transform Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T) Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...