2. Find the CTFT for the following PERIODIC signals: a. xdt) = sin(2t + π/4)) b....
1. Find the CTFT of the following signals 0 otherwise cos(40rt) sin(10Tt = e-10t (b) x(t) = ) ( c) x(t) u(t) + e10ta(-t + 1)
3.12. Determine the exponential Fourier series for the following periodic signals: sin 2t + sin 3t (a) x(t) = 2 sint (b) x(t)-Σ δ(t-kT) k-00
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1
4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
1. For each periodic signal below determine its Fourier series coefficients for x E [-π, π]. (Hints: find shortcuts using trigonometric formulas, and note that c can be obtained from a) and b).) rom a an a)() 10t) b) g(t)+cos(2t) c) f(t)1cos(2t) sin(10T) cos(2 sin
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
4- Plot the following signals a. x (t) = cos 2 (3 π t) b. x (t) = cos 2 (3 π t + π/ 2) c. x [ n] = (− 1) n d. x [ n] = j n (N o t e j = √ − 1) e. x [ n] = e − a | n | (a > 0)
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
I need the solution of c and d only
3. Determine whether the following signals are periodic or not. If periodic, find the fundamental period a. m(t) = (cos(2t - FU/3)] b. x(t) - Even (sin(Art).(t)) c. x(t)= cos(n.1/2) cos(n.rt/4) d. X(t)- cos(np.n/2)
Q. Find and plot the CTFT of the following signal (without using any computer simulation) x(t)cos(2t) rect (t) Explain and provide details of the steps.