please note that, in the last graph (Y2(t) sketch) the point on the horizontal axis after -3 is -1, incase it is not visible in the graph.
Thank you
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4 Consider the continous time signal...
4. (a) Consider a continuous-time signal given by j101 f(t)= e ' [u(t) - u(t – 2)] (i) Find the Fourier transform of f(t) using the properties listed in the Appendix on page 6. (ii) If the signal f(t) is sampled in the time domain, what is the Nyquist rate (in Hertz) of f(t)? Comment on your result. (8 Marks)
Sketch the bellow unit steps in continuous and discrete time . a- x(t) = u(t+1/2) – u(t-3) b. x(t) = u(t+2) – 2u(t-3) + u(t-4) c. x(t) = u(t+3) u(-t) d. x(t) = u(t) u(-t+4) e. x[n] = u[n+4] – u[n-4] f. x[n] = u[n+2] + u[n-2] - 2 u[n-4] g. x[n] = u[n+4] u[-n+4] h. x[n] = u[n] u[-n+4]
An analog signal is given as below x(t) = 10sin 4rtt The signal is sampled by two different frequencies f, = 1Hz, f, = 10Hz respectively, and the output are yı, Yz. (i) Sketch signal x(t) in the time domain. (3 marks) (ii) Sketch frequency spectrum of x(t). (3 marks) (iii) After sampling, the continuous signal is converted to a discrete signal. Draw the two discrete signals Yı, Y2: (4 marks) (iv) Discuss whether f1, f, can successfully sample the...
Question #5: Consider the continuous-time signal shown below. x(t) -6 -4 -2 4 -2 (a) Sketch y(t) x1) (b) Sketch y(t) 2x[t- 2) (c) Sketch y(t) - 5x(t/3) (d) Sketch y(t) x(t) -x(-t)
Please show all your works. Thanks. 2) Let r(t) be the continuous-time signal x(t) t(0.97)' [a(t)-u(t-100)| where u(t) is the unit step function. We sample r(t) with a sampling period of T 0.4 over ootoo to obtain r/n]. Assume that the sample for n 0 is taken at t 0. We then use sinc interpolation to generate Tr(t) from xml a) Plot r(t) using MATLAB over the smallest range that includes all nonzero values of r(t) b) Find r[n] c)...
Signals and Systems 1. A continuous time system is given inputs x1(t), r2 (t), and x3(t), from which the outputs yi (t), y2(t), and y3( arise, respectively, where 1(t)u(t) u(t-1) i(t)2u(t) -e20-u(t - 1) 2(t)u(t) - u(t- 3 T3 0 otherwise sin(5t) te,1 y3(t) 0 otherwise e-5t (u(t)-a(t-1)) ya(t) = (a) Is this system causal? Prove your answer. (b) Is this system linear? Prove your answer. c) Is this system time-invariant? Prove your answer. 1. A continuous time system is...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
For the continuous time signal() shown in the Figure 1, sketch each of the following signals: (a) x(t-3)-3 points(b) x(2-t)-5 points(c) x(2 t+2)-5 points(d) x(2-t/3)-4 points(e) x(t)(σ(t+3/2)-σ(t-3/2))-2 points(f) (x(t)+x(2-t)) u(1-t)-6 points(g) x(t/2-3)+x(t/3-2)-6 points(h) x(t-1) u(t-1)-4 pointsσ(t) is the impulse function and u(t) is the unit step function.
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)