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1222, Signal and Systems June 11,2018 Extra Credit Problem 6. For each of the following...
June 8, 2018 ECE 3222, Signal and Systems Extra Credit Problem 6. (20 Points) Let x(t)...
June 8, 2018 ECE 3222, Signal and Systems Extra Credit Problem 6. (20 Points) Let x(t) be a continuous-time signal, and let: ,)(21) and y(d) (/2) The signal yi() represents a speed up version of x() in the sense that duration of the signal is cut in half. Similarly, y2(t) represents a slowed down version of x(t) in the sense that duration of the signal is doubled. Consider the following statements: a) Ifx() is periodic, then yi) is periodic b)...
Problem 4 For each of the signals given, determine mathematically whether the signal is even, odd,...
Problem 4 For each of the signals given, determine mathematically whether the signal is even, odd, or neither. (ii) (iv) x[n] x[n] =-n (iii) x[n-(2) = 6 + 2" + .2-n
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic....
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:...
EE-3424, MATH IN SIGNALS AND SYSTEMS, ART GRIGORYAN, SEPTEMBER 30, 2016 Problem 1: (20 points) Given...
EE-3424, MATH IN SIGNALS AND SYSTEMS, ART GRIGORYAN, SEPTEMBER 30, 2016 Problem 1: (20 points) Given signal r (t) = -2 cos (2t +2)-4t+1 hnd and plot the even part yeven (t) and odd part t) of the signal y(t) -= r(t-1).
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Signal system question. EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are...
Signal system question.
EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...
Mark with an X, the best answer for each statement below. Show your reasoning 9. EXTRA CREDIT: The ac circuit in Fig. 9(a), with the output VouT, acts as a: [2 points extra credit] a. 12 F Vin (t) 6...
Mark with an X, the best answer for each statement below. Show your reasoning 9. EXTRA CREDIT: The ac circuit in Fig. 9(a), with the output VouT, acts as a: [2 points extra credit] a. 12 F Vin (t) 6 S2 low-pass filter (see Table Vourl t) band-pass filter (see Table) band-stop filter (see Table) high-pass filter (see Table) 12 H iv. V. Fig. 9 (a) _ None of the above Table: Filter Definitions Pass Stop Low-Pass b. For the...
How to solve this in details? Problem 1.3. Given the following signal x(t)= sint+ a 3...
How to solve this in details?
Problem 1.3. Given the following signal x(t)= sint+ a 3 a) Determine all values of a so that x(t) is an even signal b) Determine all values of a so that x(t) is an odd signal
June 8, 2018 ECE 3222, Signal and Systems Extra Credit Problem 6. (20 Points) Let x(t) be a continuous-time signal, and let: ,)(21) and y(d) (/2) The signal yi() represents a speed up version of x() in the sense that duration of the signal is cut in half. Similarly, y2(t) represents a slowed down version of x(t) in the sense that duration of the signal is doubled. Consider the following statements: a) Ifx() is periodic, then yi) is periodic b)...
Problem 4 For each of the signals given, determine mathematically whether the signal is even, odd, or neither. (ii) (iv) x[n] x[n] =-n (iii) x[n-(2) = 6 + 2" + .2-n
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
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:...
EE-3424, MATH IN SIGNALS AND SYSTEMS, ART GRIGORYAN, SEPTEMBER 30, 2016 Problem 1: (20 points) Given signal r (t) = -2 cos (2t +2)-4t+1 hnd and plot the even part yeven (t) and odd part t) of the signal y(t) -= r(t-1).
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Signal system question.
EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...
Mark with an X, the best answer for each statement below. Show your reasoning 9. EXTRA CREDIT: The ac circuit in Fig. 9(a), with the output VouT, acts as a: [2 points extra credit] a. 12 F Vin (t) 6 S2 low-pass filter (see Table Vourl t) band-pass filter (see Table) band-stop filter (see Table) high-pass filter (see Table) 12 H iv. V. Fig. 9 (a) _ None of the above Table: Filter Definitions Pass Stop Low-Pass b. For the...
How to solve this in details?
Problem 1.3. Given the following signal x(t)= sint+ a 3 a) Determine all values of a so that x(t) is an even signal b) Determine all values of a so that x(t) is an odd signal
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