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n 29 Question 11 of 23 s Moving to another question will save this response. Question 11 1 points Save Answer Consider a fiter characterized by the following impulse response: h-[1.2,-1, 1] Which of the following statements are true about thie the sampling frequency in this application is 8192 Hz. (You may use MATLAB to help you analyze this filter) 1. The fiter characterized by h (1 2-11] is a frequency selective IR filter because FIR filters are characterized by b filter In terms of 2. The fiter acterized byha 12-11 isa frequency elective FIR filter. In terms of the frequency respo se the filter is best characterized as a o 3.The fiter characterized by h -l1 2 -1 1] s a frequency selective FIR flter. In terms of the frequency response the fite is best characterized as a 4. The fiter charactered by h =[1 2-1 1] is a frequency selective FIR filter. In terms of the frequency response the filter is best characterized as a ● 5. The fiter characterized by h-(12-1 1] is a frequency selective FIR filter. In terms of the frequency response the filter is best characterized as a the frequency response the filter is best characterized as a band-stop fiter with a bandstop center frequency around 1500 Hz. band-pass filter with a center frequency around 1500 Hz band-stop filter with a bandstop center frequency around 1500 Hz band-pass filter with a center frequency around 750 Hz band-stop filter with a bandstop center frequency around 750 Hz Shot 6.42 PM Moving to another question will save this response. Shot 6.47 P Question 11 of 23 9 3-DSP-Intervie...df Show All X

Answer 1

The impulse response has finite number of samples (N=4 ) only. Hence it cannot be an IIR filter. It must be a FIR filter.

TO analyze the characteristics of the given impulse response:

MATLAB:

h=[1 2 -1 1]
fs=8192
[H,f] = freqz(h,1,5000,fs);
plot(f,abs(H),'b')
xlim([0,fs/2])
title('Magnitude response of the FIR filter')
xlabel('f')
ylabel('|H|')

Magnitude response of the FIR filter 3.5 ー 2.5 2 1.5 1000 2000 3000 4000

The magnitude response shows that the filter is a band stop filter and has its cut off frequency around 1500Hz.

Hence the answer is (3).