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Task 1 (45 Marks) The concepts of signals and systems arise in a wide variety of...
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(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...
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...
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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)...
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A figure 1 below, show a multiple-input single-output (MISO) sampling system sampling period, T - 15. Determine whether the signal y(t) belongs to the system classifications below against the input signals x (t) and x (t). X(t) = X(t)- y(t) - Sampling Block, Ts y[n] Multiplier Block Sampling System Figure 1 Given that: Input signal x (t) = 2sin (0.5t) Input signal x (t) = 2u(t) Intermediate output signal y(t) = x (t)x(t)...
vebdav/pid-1888136-dt-content-rid-4139590.1/courses/Spring,2019 ELEC341 22498/Assignment1.pdf Problem 5 For the system showa in the figure below, the input signals are gil0-rece 0frect( 104t) gan-at), the low-pass filters have frequency responses M(아rect(0140,0007), H2(co-rect(m/20,000π), and the output of the low-pass filters yi(t) and y2(t) are multiplied to obtain the output signal y). (a) Are the low-pass filters distortion-less systems or not? Why? (b) Find and sketch Gi(a) and G() (c) Sketch Hi(a) and H2(m) (d) Find and sketch Yi(), Y2(o), and Y(o) (e) What is...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
SIGNALS and SYSTEMS HOMEWORK-IV 1. Let X(t) be the input to an LTI system with unit impulse response h(t), where x(t) = e-tu(t) h(t) = u(t -3). Determine and plot the output y(t) = x(t) *h(t). Both analytically and graphical method. (25 p)
number 2
ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the...
1. (9 points) In this Question, we are going to perform DSBSC modulation using MAT- LAB. The signal we want to use is a speech signal. Here is the block diagram of ths system we want to simulate: Modulation Demodulation ult gt) m(t) x Butterworth LPF mr(t) c(t) Gr(t) Figure 1: DSBSC modulation and demodulation. (a) Since we are working with speech signals, we will choose a sampling frequency that is much larger than the bandwidth of the signals. As...
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...