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EE-3424, MATH IN SIGNALS AND SYSTEMS, ART GRIGORYAN, SEPTEMBER 30, 2016 Problem 1: (20 points) Given...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
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)...
Hello, Can anyone help me with these questions from signals and systems course? Thank you in...
Hello,
Can anyone help me with these questions from signals and
systems course?
Thank you in advance??♀️
Problem 1 [25 points : Consider the following periodic signal x(t). Determine the Fourier series coefficients, ak nu Problem 2 [25 points : Determine the Fourier series coefficients, ax and the average power for the periodic signal x(t) shown. -2 -1 1 2 Problem 350 points: Let x(t) be the input signal to an LTI system with impulse response h(t) and let y(t)...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a)...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
This is about signals and systems. I want to know anwser and solution. Please write down your han...
This is about signals and systems.
I want to know anwser and solution.
Please write down your handwriting correctly and take
a good picture.
(1)[30 Points]Answer the following questions with 'T' for a true sentence or 'F' for a false sentence. (1-1) If the system is described as y(t) x(t) + 1, where the input signal and output signals are denoted by x(t) and y(t), respectively, the system is a linear system. (1-2) ( When a discrete time signal is...
Signals and systems Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of 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 x().
This is signals and systems course I need help in this table for system properties A....
This is signals and systems course
I need help in this table for system properties
A. Continuous-Time Systems TI CausalMemoryless Linea yCe)ae-1)+2 y(r) 3x(t)cos (1) y(c) xe-1) + 1 no Yes y(c) te y(t) = 2 (t) y(t)-|x(t)l lnh dini no yes yes no no no yes Yes no n b -sin()x) y(c)-(2+sin()) x( yes yes no no yes r(1-1) 1x(1-1 10 10 t-D)10 y(t) = x(-t) (c)(2t) 3x(c) cos(t+ 1) no es no ho eo y(t) y(t) log (x(t)
SIGNALS AND SYSTEMS: PLEASE UPLOAD MATLAB CODING FOR QUESTIONS. 1. In class we found that the...
SIGNALS AND SYSTEMS:
PLEASE UPLOAD MATLAB CODING FOR QUESTIONS.
1. In class we found that the Fourier series of a unit amplitude square wave of period 2 seconds was given by (a) Show that this series can be rewritten as 0o 2 (b) Produce plots of x (t) for n-1 to N for N-1,3,9,19,and 199, that is, truncate the infinite sum to these values of N and plot the result. Remember that only odd terms are included in the sum...
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. ....
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. . Plot the corresponding signal space representation. . Find the distance between the two signals. (a) x(t) = Acos(2tht), y(t) = Asin(2T,fet), t E [0, e). [30 points] (b) (t) A cos(2m fct), y(t) A cos(2m fct+0), t E [0, Tb]. [30 points] (c) The signal set shown in Figure 1 [40 points xp V3A T/2 T To
Task 1 (45 Marks) The concepts of signals and systems arise in a wide variety of...
Task 1 (45 Marks) The concepts of signals and systems arise in a wide variety of fields, and the ideas and techniques associated with these concepts play an important role in such diverse areas of science and technology as communications, aeronautics and astronautics, circuit design, acoustics, seismology, biomedical engineering, energy generation and distribution systems, chemical process control, and speech processing. In the principle of signal and system answer the following questions: 1. Given the signal x(t) shown in figure 1...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
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)...
Hello,
Can anyone help me with these questions from signals and
systems course?
Thank you in advance??♀️
Problem 1 [25 points : Consider the following periodic signal x(t). Determine the Fourier series coefficients, ak nu Problem 2 [25 points : Determine the Fourier series coefficients, ax and the average power for the periodic signal x(t) shown. -2 -1 1 2 Problem 350 points: Let x(t) be the input signal to an LTI system with impulse response h(t) and let y(t)...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
This is about signals and systems.
I want to know anwser and solution.
Please write down your handwriting correctly and take
a good picture.
(1)[30 Points]Answer the following questions with 'T' for a true sentence or 'F' for a false sentence. (1-1) If the system is described as y(t) x(t) + 1, where the input signal and output signals are denoted by x(t) and y(t), respectively, the system is a linear system. (1-2) ( When a discrete time signal is...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of 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 x().
This is signals and systems course
I need help in this table for system properties
A. Continuous-Time Systems TI CausalMemoryless Linea yCe)ae-1)+2 y(r) 3x(t)cos (1) y(c) xe-1) + 1 no Yes y(c) te y(t) = 2 (t) y(t)-|x(t)l lnh dini no yes yes no no no yes Yes no n b -sin()x) y(c)-(2+sin()) x( yes yes no no yes r(1-1) 1x(1-1 10 10 t-D)10 y(t) = x(-t) (c)(2t) 3x(c) cos(t+ 1) no es no ho eo y(t) y(t) log (x(t)
SIGNALS AND SYSTEMS:
PLEASE UPLOAD MATLAB CODING FOR QUESTIONS.
1. In class we found that the Fourier series of a unit amplitude square wave of period 2 seconds was given by (a) Show that this series can be rewritten as 0o 2 (b) Produce plots of x (t) for n-1 to N for N-1,3,9,19,and 199, that is, truncate the infinite sum to these values of N and plot the result. Remember that only odd terms are included in the sum...
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. . Plot the corresponding signal space representation. . Find the distance between the two signals. (a) x(t) = Acos(2tht), y(t) = Asin(2T,fet), t E [0, e). [30 points] (b) (t) A cos(2m fct), y(t) A cos(2m fct+0), t E [0, Tb]. [30 points] (c) The signal set shown in Figure 1 [40 points xp V3A T/2 T To
Task 1 (45 Marks) The concepts of signals and systems arise in a wide variety of fields, and the ideas and techniques associated with these concepts play an important role in such diverse areas of science and technology as communications, aeronautics and astronautics, circuit design, acoustics, seismology, biomedical engineering, energy generation and distribution systems, chemical process control, and speech processing. In the principle of signal and system answer the following questions: 1. Given the signal x(t) shown in figure 1...
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