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True False Question 9 Consider the discrete-time signal a[k] with Z-transform, 2+3z-1 X(z) = and ROC...
10. Find the ROC of the Z-transform of x[n] (a) [:l> (6) 31 (0)1> (a) not...
10. Find the ROC of the Z-transform of x[n] (a) [:l> (6) 31 (0)1> (a) not (a), not (b) and not () 11. Calculate the DFT of the following discrete-time signal with: x[0] = 2, x[1] = -1, x[2] = 3, x[3] = -2. The value of the DFT required for this question is X(0). (a) 2 + j3. (b) 2-4, (c) 6, (d) not (a), not (b) and not e
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period...
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period No =3. The discrete-time Fourier Series coefficients are computed and found to be Do = 0.5, D1 = + j, and D2 = 0.25j Which of the following is true? O D-1 = = 4 +j Dy = + j DA=0.5 OD 0.25j
1. Find the z-transform (ZT) of the discrete-time (DT) sequence provide the region of convergence (ROC)
1. Find the z-transform (ZT) of the discrete-time (DT) sequence provide the region of convergence (ROC)
top one Final Respondus LockDown Browser Webcam Que 1. ( 0) The ROC for this siis...
top one
Final Respondus LockDown Browser Webcam Que 1. ( 0) The ROC for this siis •> 0.5 . 0.5 < 1<2 Question 2 1 Su're working with discrete-time signal z[k]that has 10 samples, and discrete-time signal h[k]that has 5 samples. You want mpute the convolution of these two signals (i.e. 2[k] * h[k]) by taking the FFT of each signal, multiplying in the frequency ain, and then taking an IFFT. To do this, you must first zero-pad the signals...
The z-transform of a discrete variable y(k) is: 3z2-3z+z Y(z) = (z-1)(z²-1.6z+1) To find y(k) for...
The z-transform of a discrete variable y(k) is: 3z2-3z+z Y(z) = (z-1)(z²-1.6z+1) To find y(k) for k20 apply the following procedure: Solve a "z" a) Expand the resulting expression into two (2) partial fractions, the second fraction with the quadratic factor in the denominator must have a first order numerator of the form (Bz + C). Determine the unknown coefficient of the partial fractions. b) Return the "z" c) Using inverse z-transform pairs determine y(k) for k20 d)
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform ...
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a)...
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
2. Circle the causal BIBO stable ROC below. a) 1.1<\리<1.2 b) Izk1/201zP1/2 d) 0.5<Izl<0.9 e) none...
2. Circle the causal BIBO stable ROC below. a) 1.1<\리<1.2 b) Izk1/201zP1/2 d) 0.5<Izl<0.9 e) none above 3. A linear time-invariant IIR system is always BIBO stable a) True b) False 4. If a fiter has z-transform H(z)05, then the fiter s ;z>0.5, then the filter is zz-0.5z a) Nonlinear b)FIR )R d) two-sided e) none above 5. The discrete-time frequency o in rad/ sample of the sinusoid hin] below is d) T2 e) none above hIn] -1
roblem 3: (15-7+8 points) Consider the left-sided discrete-time signal a(n)42+1). a) Find the discrete Fourier transform...
roblem 3: (15-7+8 points) Consider the left-sided discrete-time signal a(n)42+1). a) Find the discrete Fourier transform X(eju n-2 ). (b) Find the phase (o) of the discrete Fourier transform X
Part 1 (Calculation): The Z-transform (ZT) converts a discrete time-domain signal, which is a sequence of...
Part 1 (Calculation): The Z-transform (ZT) converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It is the equivalent of the Laplace transform for discrete systems. The one-sided ZT, used for causal signals and systems, is defined as follows: Consider the digital system (filter) described by the input/output difference equation and z-domain transfer function Hz: yn-0.88 yn-1=0.52 xn-0.4 xn-1 Hzz=Y(z)X(z)=0.52-0.4 z-11-0.88 z-1=0.52 z-0.4z-0.88 Assuming a unit step function input, i.e.,...
10. Find the ROC of the Z-transform of x[n] (a) [:l> (6) 31 (0)1> (a) not (a), not (b) and not () 11. Calculate the DFT of the following discrete-time signal with: x[0] = 2, x[1] = -1, x[2] = 3, x[3] = -2. The value of the DFT required for this question is X(0). (a) 2 + j3. (b) 2-4, (c) 6, (d) not (a), not (b) and not e
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period No =3. The discrete-time Fourier Series coefficients are computed and found to be Do = 0.5, D1 = + j, and D2 = 0.25j Which of the following is true? O D-1 = = 4 +j Dy = + j DA=0.5 OD 0.25j
1. Find the z-transform (ZT) of the discrete-time (DT) sequence provide the region of convergence (ROC)
top one
Final Respondus LockDown Browser Webcam Que 1. ( 0) The ROC for this siis •> 0.5 . 0.5 < 1<2 Question 2 1 Su're working with discrete-time signal z[k]that has 10 samples, and discrete-time signal h[k]that has 5 samples. You want mpute the convolution of these two signals (i.e. 2[k] * h[k]) by taking the FFT of each signal, multiplying in the frequency ain, and then taking an IFFT. To do this, you must first zero-pad the signals...
The z-transform of a discrete variable y(k) is: 3z2-3z+z Y(z) = (z-1)(z²-1.6z+1) To find y(k) for k20 apply the following procedure: Solve a "z" a) Expand the resulting expression into two (2) partial fractions, the second fraction with the quadratic factor in the denominator must have a first order numerator of the form (Bz + C). Determine the unknown coefficient of the partial fractions. b) Return the "z" c) Using inverse z-transform pairs determine y(k) for k20 d)
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
2. Circle the causal BIBO stable ROC below. a) 1.1<\리<1.2 b) Izk1/201zP1/2 d) 0.5<Izl<0.9 e) none above 3. A linear time-invariant IIR system is always BIBO stable a) True b) False 4. If a fiter has z-transform H(z)05, then the fiter s ;z>0.5, then the filter is zz-0.5z a) Nonlinear b)FIR )R d) two-sided e) none above 5. The discrete-time frequency o in rad/ sample of the sinusoid hin] below is d) T2 e) none above hIn] -1
roblem 3: (15-7+8 points) Consider the left-sided discrete-time signal a(n)42+1). a) Find the discrete Fourier transform X(eju n-2 ). (b) Find the phase (o) of the discrete Fourier transform X
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