Q1- In the following figure, gi(t)=g(t). Express signals g(t), 8(t);g.(t), and gs0) | in terms of...
For the signal g(t) shown in the following figure: a. Sketch the signals: 4. i) g(20) ii) g(t-12) iii) g(6t) iv) g(3-t) find the energies of all the signals in part (a) b. g(t) 0.5 0 12 15 24
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...
..3-1 In Fig. P1.3-1, the signal fi(t) = f(-). Express signals fa(t), f(t), fu(t), and f(t) in terms of signals f(t), fi(t), and their time-shifted, time-scaled or time-inverted versions. For instance f2(t) = f(t-T) + fit - T). f (1) f (1) 1,(0) f(t) 0 - 0 1 Fig. P1.3-1
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Find the Fourier series representations of the following signals. Express your answer in a real form 0O (a) )o-3n) x(t) - noo t- 5n (c) The signal illustrated below, -1 0 2 34
Find the Fourier series representations of the following signals. Express your answer in a real form 0O (a) )o-3n) x(t) - noo t- 5n (c) The signal illustrated below, -1 0 2 34
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
(e) Express Laplace transforms of the following functions in terms of F(8)- (f(t)) 0 0
(e) Express Laplace transforms of the following functions in terms of F(8)- (f(t)) 0 0
Question (1) Find the Trigonometrie Fourier Series (FS) for the signals shown in Figure 1 and Figure 2. M -6rt 41 -2 4r Figure 1 Figure 2 Question (2) (a) Find the power of x(t) = 5 + 10 cos (100t + 3) (b) Express signal x1(t) in terms of signal x(t) and its time-shifter, time-scaled, or time reversed versions. Figure 3
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Figure 3.2 Figure 3.1 Find the Fourier transform of the following signals a. x(t) - e-at cos(wt) u(t) ,a>0 8. 1+j2)t 9. Compute the discrete Fourier transform of the following signals.
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
Problem 3: Let x(n) be an arbitrary signal, not necessarily real valued, with Fourier transform X (w). Express the Fourier transforms of the following signals in terms of X() (C) y(n) = x(n)-x(n-1) (d) v(n) -00x(k) (e) y(n)=x(2n) (f) y n even n odd , x(n/2), (n) 0 Problem 4: etermine the signal x(n) if its Fourier transform is as given in Fig. P4.12. X(a) 0 10 10 10 X(o) 0 X(a) Figure P4.12
Problem 3: Let x(n) be an...