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

Question

Question

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 filter

c) Draw the filter block diagram

d) Determine whether this filter is stable, justifying your answer.

Add a comment Improve this question Transcribed image text

Answer 1

Similar Homework Help Questions

The impulse response of an ideal band pass filter is given by the equation: n 0 h(n)=-sin(nw.) wl...

The impulse response of an ideal band pass filter is given by the equation: n 0 h(n)=-sin(nw.) wl sin(nw!) nヂ0 Using the above equation, write a Matlab program that implements an approximation for the band pass filter with cut-off frequencies ω1-0.2π rad/sample and c02-0.3t 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. The impulse response of an ideal band pass filter is...
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...
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...

0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design...

0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design a causal linear-phase DT lowpass FIR filter with no more than 1 dB passband ripple at 16kHz, at least 50dB of attenuation at 20kHz, sampling rate of 400 kHz. Choose one of the windows in the table in Fig. 2. Select an even filter order...
answer in red box 1. Using the most appropriate window from Table 8.1 find a mathematical expression for the im pulse response h[n] of a low-pass type-II linear-phase FIR filter meeting the following...

answer in red box 1. Using the most appropriate window from Table 8.1 find a mathematical expression for the im pulse response h[n] of a low-pass type-II linear-phase FIR filter meeting the following specifica tions: . 2 4 kHz, f 6 kHz, 6, 0.1, δ,S 0.01, and a sampling frequency of F-20 kHz. h[n]- icos(2In/17)].sin(0.5JI(n 8.5))/JI(n - 8.5) for n-0,1,...,17; 0 otherwise 6. Use the bilinear transformation to design a digital Butterworth filter that meets the specifications in Problem 1....

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

Homework Answers

Request Answer!

Add Answer to:
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

Post as a guest

Earn Coins

The impulse response of an ideal band pass filter is given by the equation: n 0 h(n)=-sin(nw.) wl...

1. The impulse response of an ideal band pass filter is given by the equation: n=0 h(n)w2 sin(n w...

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...

0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design...

answer in red box 1. Using the most appropriate window from Table 8.1 find a mathematical expression for the im pulse response h[n] of a low-pass type-II linear-phase FIR filter meeting the following...

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

Homework Answers

Request Answer!

Add Answer to: 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

Post as a guest

Earn Coins

The impulse response of an ideal band pass filter is given by the equation: n 0 h(n)=-sin(nw.) wl...

1. The impulse response of an ideal band pass filter is given by the equation: n=0 h(n)w2 sin(n w...

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...

0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design...

answer in red box 1. Using the most appropriate window from Table 8.1 find a mathematical expression for the im pulse response h[n] of a low-pass type-II linear-phase FIR filter meeting the following...

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

Add Answer to:
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