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2 ANOWI 20 .202019 pd What is the spectrum of the negative half-sine pulse shown in...
a) Find the Fourier Transform of the half-cosine pulse shown in Fig. 1(a). b) Then apply the time-shifting property to the result obtained in part a) to evaluate the spectrum of the half-sine pulse shown in Fig. 1(b). c) What is the spectrum of the negative half-sine pulse shown in Fig. 1(e)? d) Find the spectrum of the single sine pulse shown in Fig. 1(d). gft T/2 -T a) Find the Fourier Transform of the half-cosine pulse shown in Fig....
Introduction to Wireless Digital Communication 44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) Determine and plot p()l, where Xpf) is the continuous-time Fourier trans (b) Find the complex baseband equivalent signal a() of p(t). Plot x(f)I, where zp 3.540) where sinc(a)) form of rp(t). Do not forget to label correctly. x(f) is the continuous-time Fourier transform of r(t). Do not forget to label correctly (c) Determine the absolute bandwidth of the...
Problem 3: Find the Fourier series expansion for x(t)- | cos(Ttt/2) Problem 4: Determine the Fourier transform of the signal x(t) shown below which consists of three rectangular pulses. (Note: this is not a periodic function.) x(t) TI Sayfa Sonu Problem 5: Use the duality property of Fourier transform to find the Fourier transform of x(t) - sinc(Wt)
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
need problem 6.13 done. 12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
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
This is about signals and systems. I want to know anwser and solution. Please write down your handwriting correctly and take a good picture. (1)[30 Points]Answer the following questions with 'T' for a true sentence or 'F' for a false sentence. (1-1) If the system is described as y(t) x(t) + 1, where the input signal and output signals are denoted by x(t) and y(t), respectively, the system is a linear system. (1-2) ( When a discrete time signal is...