Problem 4 (25 Points) Obtain the Fourier transform of f(t), where f(t) = rect(2 ) cos(0.5t...
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution) 3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
Fourier transfroms Obtain the Fourier transform of (a) (t)-eu(2 -t). (b) f2(t)e rect (t) = te-(t+1)a(t-1) (2-jt) +9
4. Write down the Fourier transform of f(t) = rect() (use tables). Then, assuming T = 500 us, sketch FW in dB scale, (i.e. sketch 20 log10 (FW), where log10 is the base 10 logarithm). Find all the local extrema (min. or max.) of Fwlab in the region shown below [0 - 6 kHz], fill in the table and plot. (Useful information: sinc(2)] = 0, for 2| = nt, where n > 1 is an integer. sinc(1) has local maxima,...
it is a fourier transform question in Turkish language ve 2. rect(t) = 51,-1/2 st 5 1/2 10, diğer Dönüşümü X'i bulun (20 puan). x(t) = cos(21f.t).rect(t) olduğuna göre, x(t)'nin Fourier
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
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
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
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...
1. Using appropriate properties and the table of Fourier transforms, obtain and sketch the sin(at) Fourier transform of the signal x()cn(31-4 marks) 2fX(a), determine the Fourier transform of the signal y(t)dx( F.T. dx(2t) dt (3 marks) 3. Find the Fourier transform of x(t)-cos(2t/4). (3 marks) 4. Let x(t) be the input to a linear time-invariant system. The observed output is y(t) 4x(t 2). Find the transfer function H() of the system. Hence, obtain and sketch the unit-impulse response h(t) of...
PROBLEM III (25 points) The signal v,(t) circuit 2 cos(20rt) cos(10rt) is placed at the input of a linear and time invariant Ideal #1 low-pass filter with frequency response H(o) al where de 20π. Find the output signal v2(t) using Fourier transform.