Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  If the low pass filter described by the diffe... Start Learning for Free
If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter? 
  • a)
    0.1/(1+0.9e )
  • b)
    0.1/(1+0.9e-jω)
  • c)
    0.1/(1-0.9e )
  • d)
    None of the mentioned
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the low pass filter described by the difference equation y(n)=0.9y(...
Explanation: The difference equation for the high pass filter is
y(n)=-0.9y(n-1)+0.1x(n)
and its frequency response is given as
H(ω)= 0.1/(1+0.9e-jω).
View all questions of this test
Most Upvoted Answer
If the low pass filter described by the difference equation y(n)=0.9y(...
To convert the low pass filter into a high pass filter, we need to change the sign of the coefficient in front of y(n-1) and x(n).

The high pass filter difference equation is given by:
y(n) = -0.9y(n-1) + 0.1x(n)

To find the frequency response of the high pass filter, we can take the Z-transform of the difference equation.

Taking the Z-transform of both sides of the equation, we get:
Y(z) = -0.9z^-1Y(z) + 0.1X(z)

Rearranging the equation to solve for the frequency response H(z) = Y(z)/X(z), we have:
H(z) = Y(z)/X(z) = 0.1 / (1 + 0.9z^-1)

This is the frequency response of the high pass filter.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?a)0.1/(1+0.9ejω)b)0.1/(1+0.9e-jω)c)0.1/(1-0.9ejω)d)None of the mentionedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev