Go 1.1). Question 3: Determine the suitable measure (Power/Energy) of the signal shown in Figures -1/2...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
2. Determine the suitable measures for the following signals (ie energy or power signal) 28) 2e-12 -1 0 g(r)
1.35 Determine if each of the following signals is a power signal, an energy signal, or neither (а) х1() — [1 —е 2] u(0) (b) x2(t) 2 sin(4t ) cos(4t) (с) хз(t) — 2 sin(3t) cos(4t) 1.39 Compute the average power of the following signals (a) x eat for real-valued a (3 j4)e7 (b) х2(г) _ * (с) с х3(t) — eјЗejSi
Problem 2 (20 points) Let (2t +1, Ostsi x() +4 st 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar. a. Determine the value of an b. Determine ax, k 0, by: 1.first finding the Fourier coefficients of CID II.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part(b) to express the Fourier transform of (t).
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
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...
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)
this is Q1 please solve Q2
2. Consider the same signal x(t) shown above in question 1 (a) write down the equation of the signal y(t) in terms x(t) in Fig. I and Fig.2 (b) Specify the operation(s) performed on X(t) to obtain each of signals of Fig.1 and Fig2 0.5 1 (Fig. 1) (Fig.2) 1 -2 -1 0 +1 +2 X(t) Questions Set # 3 CT signals combined time and amplitude Operations 1. Consider the signal x(1) (a) Sketch...
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
(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...