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2-27 Find and sketch c(t) = x(t) *8(t) for the func- tions depicted in Fig. P2-27....
solve 2.40 a,b,c, e using Fourier series.
2.40 part a,b,c,e 2.40 Consider the continuous-time signals depicted in Fig. P2.40. Evaluate the following convolution integrals: (a) m(t) x(t) y(t) (b) m(t)x(t)z(t) (c) m(t) x(t) ft) (d) m(t) x(t) a(t) (e) m(t)y(t) z(t) (f) m(t) -y(t) w(t) (g) m(t) y(t)g(t) (h) m(t)y(t) c(t) (i) m(t) z(t) f(t) (j) m(t) z(t) g(t) (k) m(t) z(t)b(t) (1) m(t) w(t) g(t) (m) m(t) w(t) a(t) (n) m(t) f(t) g(t (o) m(t) fo) . do) (p)...
2.1-6 Find the power and the rms value for the signals in (a) Fig. P2-1-6a; (b) Fig.2.16; (c) Fig. P2-1-6b; (d) Fig. P2.7-4a; (e) Fig. P2.7-4c. Figure P.2.1-5 (1) ابد / 2 -8 Figure P.2.1-6 (rها T T 21 | (1) 1 - TO 27
2. (30 marks] Consider the system shown in Fig. 1. Find the output y(t) for the following h(t) and r(t) using the convolution integral. x(r) y(r) h(t) Figure 1: System for Q2 1.5 2t33 0 otherwise h(t)=2rect(-3.5) x(t) = h(t) = 2 rect (-3 -
How to find the fourier series and sketch the spectrum
x(t)
Help me to find the laplace transform for a and b
Help me to find system response
Question 1 (8 marks) a) Determine the Fourier series coefficients of the periodic signal x(t) shown in Figure 1. Determine the de value of x(t)! b) Sketch the spectrum of x(t). x(t) -352 10 T2 31/2 -A Figure 1 O XU) RUOLO elsewhere exe(t) = el, a > 0 1) Sketch the...
2.3-3 For the signal g(t) shown in Fig. P2.3-3, sketch (a) g(t - 4); (b) 8 (3): (c) g(21-4): (d) (2-1). Hint Recall that replacing t with 1-T delays the signal by T. Thus, g (2 - 4) is 8(21) with replaced by : - 2. Similarly, 8 (2-1) is g(-1) with / replaced by:- 2. Figure P.2.3-3
please help problem 1 AND problem 2
two func- Problem 1. Calculate the third mixed partial fay for the following tions, by choosing the order of differentiation wisely. (a) f(r, y, 2)y23arcsin (aV2) (b) f(x, y, 2) V1+ z i-ry Problem 2. The heat equation is a partial differential equation describing the heat distribution on a rod. If a rod is heated, and u is the heat at position z on the rod at time t, then u f(x, t)...
24-8 An LTIC system has impulse response ho shown in Fig. P2.4-8. Lett have units of second Let the input be x(1) = u(-1-2) and designate the output as yzsr(t) = x(t) *h(t). (a) Use the graphical convolution procedure where h(t) is flipped and shifted to deter- mine yzsr(t). Accurately plot your result. (b) Use the graphical convolution procedure where x(1) is flipped and shifted to deter- mine Yzsr(t). Accurately plot your result. -2 -1 0 1 2 3 4...
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
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter whose frequency response is shown below Hints: Consider Hf)- H(f) 6f -fc) +(f+fo). . Convolution in one domain is ·To sketch, use fc = 2 Hz and W = 0.5 Hz. in the other domain. H(f) Ic -w fc c +w Figure 1: Ideal bandpass filter frequency response for Problem
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter...