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Repeat for la> 1. 3.10 Find h(n) for the following cases of H(z): 2 z1 H()...
3) Given a filter with the following structure X(n); Hi(Z) y(n) H2(z) H(z) where Hi(2) 11+1+0.09z...
3) Given a filter with the following structure X(n); Hi(Z) y(n) H2(z) H(z) where Hi(2) 11+1+0.09z and H(z)--4z1+z1+0.09z2] Hi(Z)- 1/[1+z1+ Find the z-transform H(z) and the frequency response H(e2*) . Say if the filter is FIR or IIR, and if it is stable or not » Find the I/O equatio n and draw the block diagram
2. [1 point] Linear independence: a. Let x1=[1 2 3] , y1=[4 5 6] and z1=[5...
2. [1 point] Linear independence: a. Let x1=[1 2 3] , y1=[4 5 6] and z1=[5 7 9]. Are three of them independent? Show which MATLAB command(s) can be used to find out the answer. Also show the results of using the command(s). b. Repeat the process for x2=[1 0 3], y2=[4 5 6] and z2=[5 2 9].
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence o...
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic decreasing (ii) Find the limit of {%) (Hint: Consider x,-h-i)
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic...
1. The impulse response of an ideal band pass filter is given by the equation: n=0 h(n)w2 sin(n w...
Do it using Matlab.
1. The impulse response of an ideal band pass filter is given by the equation: n=0 h(n)w2 sin(n w2) w1 sin (n w1) T nwW2 Using the above equation, write a Matlab program that implements an approximation for the band pass filter with cut-off frequencies (1-0.2π rad/sample and ω2-0.3π rad/sample. Set the order of the filter to 100 or 101. Use a Bartlett window here. Plot the frequency and phase responses of this digital filter. Hint...
h(n) is a stable system, , a = 50, Find the Z-transform H(n) Find the Fourier...
h(n) is a stable system, , a = 50, Find the Z-transform H(n) Find the Fourier Transform X(n) Using MATLAB, plot the frequency response from 0 to pi and from 0 to 2pi
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. T...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
2. Use the centered difference formula to approximate f(z) for f sin and z1, using h 1, 1/10, 1/1...
2. Use the centered difference formula to approximate f(z) for f sin and z1, using h 1, 1/10, 1/100, ...., 1 /1015. Plot the absolute error. Explain the behavior as h decreases. (Hint: Read the last subsection of §11 concerning roundoff error.) Why does this instability not arise with -0?
2. Use the centered difference formula to approximate f(z) for f sin and z1, using h 1, 1/10, 1/100, ...., 1 /1015. Plot the absolute error. Explain the behavior as...
I cannot figure out part b and e of this assignment. Determine a LCCDE which has...
I cannot figure out part b and e of this assignment.
Determine a LCCDE which has an impulse response of h[n]-r" cos(aon) u[n], where ωο-π/10, n 0. z - Transform 1- r(cos(wo))z1 Yz -r(cos(wo))z1 b) Write a MATLAB script to implement your LCCDE. Calculate the first 251 samples of the zero state response (ZSR) of your difference equation when the input x[n] i) r 0.99 ii) r=1 iir 1.01 Using filter function in MATLAB, repeat b). cos(n)u[n], and e)
Matlab help 1) Given the functions x1()= tu()-tuft-1) and X2(t)=10e-5,11(), do the following: 1. Plotx,(t) and x2(0) using MATLAB 2. Use MATLAB to find and plot x(0=x:@*.x2(t), where * denotes co...
Matlab help
1) Given the functions x1()= tu()-tuft-1) and X2(t)=10e-5,11(), do the following: 1. Plotx,(t) and x2(0) using MATLAB 2. Use MATLAB to find and plot x(0=x:@*.x2(t), where * denotes convolution. 3. Find x(t)=x;()*X2(1) by hand using Laplace transforms. 4. Plot the result of part 3 in MATLAB and compare it to that found in part 2. 2) Given the transfer function shown below, do the following: 1. Find the system's impulse response and plot it using MATLAB 2. Repeat...
Consider the Z-Transform: H(z)= 2-2) a. Find the difference equation for this H() b. Find and...
Consider the Z-Transform: H(z)= 2-2) a. Find the difference equation for this H() b. Find and sketch the Inverse Z-Transform h(n) for (i) causal andii) mixed cases. Specify which case of ROC corresponds to a stable system.
3) Given a filter with the following structure X(n); Hi(Z) y(n) H2(z) H(z) where Hi(2) 11+1+0.09z and H(z)--4z1+z1+0.09z2] Hi(Z)- 1/[1+z1+ Find the z-transform H(z) and the frequency response H(e2*) . Say if the filter is FIR or IIR, and if it is stable or not » Find the I/O equatio n and draw the block diagram
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic decreasing (ii) Find the limit of {%) (Hint: Consider x,-h-i)
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic...
Do it using Matlab.
1. The impulse response of an ideal band pass filter is given by the equation: n=0 h(n)w2 sin(n w2) w1 sin (n w1) T nwW2 Using the above equation, write a Matlab program that implements an approximation for the band pass filter with cut-off frequencies (1-0.2π rad/sample and ω2-0.3π rad/sample. Set the order of the filter to 100 or 101. Use a Bartlett window here. Plot the frequency and phase responses of this digital filter. Hint...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
2. Use the centered difference formula to approximate f(z) for f sin and z1, using h 1, 1/10, 1/100, ...., 1 /1015. Plot the absolute error. Explain the behavior as h decreases. (Hint: Read the last subsection of §11 concerning roundoff error.) Why does this instability not arise with -0?
2. Use the centered difference formula to approximate f(z) for f sin and z1, using h 1, 1/10, 1/100, ...., 1 /1015. Plot the absolute error. Explain the behavior as...
I cannot figure out part b and e of this assignment.
Determine a LCCDE which has an impulse response of h[n]-r" cos(aon) u[n], where ωο-π/10, n 0. z - Transform 1- r(cos(wo))z1 Yz -r(cos(wo))z1 b) Write a MATLAB script to implement your LCCDE. Calculate the first 251 samples of the zero state response (ZSR) of your difference equation when the input x[n] i) r 0.99 ii) r=1 iir 1.01 Using filter function in MATLAB, repeat b). cos(n)u[n], and e)
Matlab help
1) Given the functions x1()= tu()-tuft-1) and X2(t)=10e-5,11(), do the following: 1. Plotx,(t) and x2(0) using MATLAB 2. Use MATLAB to find and plot x(0=x:@*.x2(t), where * denotes convolution. 3. Find x(t)=x;()*X2(1) by hand using Laplace transforms. 4. Plot the result of part 3 in MATLAB and compare it to that found in part 2. 2) Given the transfer function shown below, do the following: 1. Find the system's impulse response and plot it using MATLAB 2. Repeat...
Consider the Z-Transform: H(z)= 2-2) a. Find the difference equation for this H() b. Find and sketch the Inverse Z-Transform h(n) for (i) causal andii) mixed cases. Specify which case of ROC corresponds to a stable system.
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