A) Find xr(t)
B) Given:
x(50) = 10.9033
x(50.2) = 10.8804)
xrt(50) = undefined
xrt(50.2) = 10.8806,
Can you determine if determine whether T · ωmax ≤ π
where ωmax corresponds to the frequency domain
representation for x(t)? Explain your answer.
A) Find xr(t) B) Given: x(50) = 10.9033 x(50.2) = 10.8804) xrt(50) = undefined xrt(50.2) =...
Please show all your works. Thanks. 2) Let r(t) be the continuous-time signal x(t) t(0.97)' [a(t)-u(t-100)| where u(t) is the unit step function. We sample r(t) with a sampling period of T 0.4 over ootoo to obtain r/n]. Assume that the sample for n 0 is taken at t 0. We then use sinc interpolation to generate Tr(t) from xml a) Plot r(t) using MATLAB over the smallest range that includes all nonzero values of r(t) b) Find r[n] c)...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4 Consider the continous time signal...
Fourier transforms using Properties and Table 1·2(t) = tri(t), find X(w) w rect(w/uo), find x(t) 2. X(w) 3, x(w) = cos(w) rect(w/π), find 2(t) X(w)=2n rect(w), find 2(t) 4. 5, x(w)=u(w), find x(t) Reference Tables Constraints rect(t) δ(t) sinc(u/(2m)) elunt cos(wot) sin(wot) u(t) e-ofu(t) e-afu(t) e-at sin(wot)u(t) e-at cos(wot)u(t) Re(a) >0 Re(a) >0 and n EN n+1 n!/(a + ju) sinc(t/(2m) IIITo (t) -t2/2 2π rect(w) with 40 2r/T) 2Te x(u) = F {r) (u) aXi(u) +X2() with a E...
4. Shown in the figure below is a sinusoid. r(t) sec -10 -2 This sinuosoid may be expressed as (a) From this plot, determine the values of A, ao, fo, td, and φ. Choose the value of the angle (phase) φ such that-π 〈 φ π. (b) Suppose that x(t) is sampled using a sample period of T, seconds to produce x[n] What is the sample rate fs? Indicate the units. If linear interpolation is used (this is what MATLAB...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
please answer the most you can # 1: Given R-134a at 100 psia, find Tsat, Y, Yg, and hf #2: Given water at 100 psia & T=1000°F, find u and s #3: Given R-134a at 100 kPa & T-50°C, find u and s #4 : Given water at 100 kPa, if u 1000 kJ/kg, find h (Hint: mixture) #5: Given water at 5 MPa & T-40°C, find u and h #6: Given R-134a at 1,0 MPa & T-40C, find h...
7. (a) Find the harmonic function in the semi-infinite strip {0 < x < π, 0sy oo) that satisfies the "boundary conditions": u(r, y) (b) What would go awry if we omitted the condition at infinity? 7. (a) Find the harmonic function in the semi-infinite strip {0
(b) (2 pts) (t) is given as r(t) e sin(t) Find X(jw). Show that X(jw) = 25 + (w- 1)225(w+1)2 (c) (4 pts) x(t) is given as x(t)-π inc(t) cos(nt). Find X(jw) (d) (4 pts) 2(t) is given as 2(t) e Áil+ 3) + e' ỗ(t-3). Find X (jw). Simplify the answer as (e) (4 pts) 2(t) is given as r(t) = rect(2(t )) reetgehj)). Hint: use Fourier Transform pair: sine(t)艹rect( ) much as possible Find X(jw). Simplify the answer...
(25pt| 3. Find y(t) if x(0) = 0 2 + 2y + u(t), 2.r + y, y(0) = 2 where it is the unit step function.
SHOW STEP BY STEP SOLUTION. THIS IS LINEAR SYSTEM ANALYSIS. a) Find frequency response, x (Fourier Series), where k is frequency index -Sksoo b) Find values of x when k1, 0, 1, 2 4 2 46 a) A Fourier Transform of rectangle is defined as T=11 2.4.2 sinc (2.2.f) 16-sinc(4.f) a) 16 4 b)-1.0000 0 1.0000 2.0000 -0.2773-0.17821 2.9091 -0.2773 0.17821 -0.3835 0.83981 So the Fourier series is x =-| 16-sincl 4-1-e , r + 16 . sinc! 4-1-e -16-sinc...