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Given the following FIR digital filter, H(z) = (1 – 2-1) (1+z-1) 3 1) Sketch the...
T/2, , and 370|2. 4.22 A four-point Hanning window (filter) has the z transform 1 -z...
T/2, , and 370|2. 4.22 A four-point Hanning window (filter) has the z transform 1 -z 2>0. H(z) 1 1) (1- +2-2) a. Draw the pole/zero diagram for H(z), noting any pole/zero cancellations. b. Sketch the magnitude response H'(o). c. Show that H(z) is FIR by finding h(n) for all n. d. Find the dc gain of the filter.
T/2, , and 370|2. 4.22 A four-point Hanning window (filter) has the z transform 1 -z 2>0. H(z) 1 1) (1-...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digit...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digital filters. Use appropriate MATLAB expressions to find: a) System Response (H(z) b) Pole-zero diagram c) Amplitude Response d) Phase Response 1. FIR Low-Pass Digital Filter ,n= 0.1 |[d(n) + δ(n-I))-1 h(n) 0, otherwise 2. FIR High-Pass Digital Filter 0, otherwise 3. FIR Band-Pass Digital Filter 0, otherwise 4. FIR Band-Stop Digital Filter , n = 0,2 0, otherwise Note: Your final...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer func...
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Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks)
Question 3 a)...
:) A causal, linear-phase, real-valued FIR filter has zeros at z = 0.5, z = 1, and z-ej2, a) Supp...
Digital Signal Processing
:) A causal, linear-phase, real-valued FIR filter has zeros at z = 0.5, z = 1, and z-ej2, a) Suppose the gain factor for this filter is po 1. Specify the impulse response of this filter assuming the length of the filter needs to be as small as possible. b) What is the type of this FIR filter? A causal, linear-phase, real-valued FIR filter has zeros at z - 0.25e 3 and z - 2 a Assuming...
Problem 4 Questions about the frequency response of an FIR filter: (a) Determine a formula for th...
Please show all work
Problem 4 Questions about the frequency response of an FIR filter: (a) Determine a formula for the frequency response of an FIR filter defined by the pole-zero plot below: Pole-Zero Plot #1 0.5 -0.5 -1 1 -0.5 0 051 Real part (b) For the FIR filter in part (a), write a simplified version of the frequency response H(e'ω) and use it to prove that the maximum value of the frequency response magnitude will be at ω-tr/2....
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
A fourth order, Type I, linear phase, FIR filter, h[n], is to be designed using the window method. The ideal impulse response of the filter is defined as: hd[n] = sin([pi/4]*[n - N/2]) / ([n - N/2]*pi) , where N is the filter order and 'pi' denotes the ma
A fourth order, Type I, linear phase, FIR filter, h[n], is to be designed using the window method. The ideal impulse response of the filter is defined as:hd[n] = sin([pi/4]*[n - N/2]) / ([n - N/2]*pi) ,where N is the filter order and 'pi' denotes the mathematical (irrational) constant number 3.14159.... Given that a stopband attenuation of 50 dB is required,a) Find and sketch h[n]b) Determine the transfer function of the resulting digital filterc) Draw the filter block diagramd) Determine...
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
T/2, , and 370|2. 4.22 A four-point Hanning window (filter) has the z transform 1 -z 2>0. H(z) 1 1) (1- +2-2) a. Draw the pole/zero diagram for H(z), noting any pole/zero cancellations. b. Sketch the magnitude response H'(o). c. Show that H(z) is FIR by finding h(n) for all n. d. Find the dc gain of the filter.
T/2, , and 370|2. 4.22 A four-point Hanning window (filter) has the z transform 1 -z 2>0. H(z) 1 1) (1-...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digital filters. Use appropriate MATLAB expressions to find: a) System Response (H(z) b) Pole-zero diagram c) Amplitude Response d) Phase Response 1. FIR Low-Pass Digital Filter ,n= 0.1 |[d(n) + δ(n-I))-1 h(n) 0, otherwise 2. FIR High-Pass Digital Filter 0, otherwise 3. FIR Band-Pass Digital Filter 0, otherwise 4. FIR Band-Stop Digital Filter , n = 0,2 0, otherwise Note: Your final...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
Thanks
Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks)
Question 3 a)...
Digital Signal Processing
:) A causal, linear-phase, real-valued FIR filter has zeros at z = 0.5, z = 1, and z-ej2, a) Suppose the gain factor for this filter is po 1. Specify the impulse response of this filter assuming the length of the filter needs to be as small as possible. b) What is the type of this FIR filter? A causal, linear-phase, real-valued FIR filter has zeros at z - 0.25e 3 and z - 2 a Assuming...
Please show all work
Problem 4 Questions about the frequency response of an FIR filter: (a) Determine a formula for the frequency response of an FIR filter defined by the pole-zero plot below: Pole-Zero Plot #1 0.5 -0.5 -1 1 -0.5 0 051 Real part (b) For the FIR filter in part (a), write a simplified version of the frequency response H(e'ω) and use it to prove that the maximum value of the frequency response magnitude will be at ω-tr/2....
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
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
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