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Test: IIR Filter Design


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10 Questions MCQ Test Signals and Systems | Test: IIR Filter Design

Test: IIR Filter Design for Electrical Engineering (EE) 2022 is part of Signals and Systems preparation. The Test: IIR Filter Design questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: IIR Filter Design MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: IIR Filter Design below.
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Test: IIR Filter Design - Question 1

 In IIR Filter design by the Bilinear Transformation, the Bilinear Transformation is a mapping from

Detailed Solution for Test: IIR Filter Design - Question 1

Explanation: From the equation,
it is clear that transformation occurs from s-plane to z-plane

Test: IIR Filter Design - Question 2

 In Bilinear Transformation, aliasing of frequency components is been avoided.

Detailed Solution for Test: IIR Filter Design - Question 2

Explanation: The bilinear transformation is a conformal mapping that transforms the jΩ-axis into the unit circle in the z-plane only once, thus avoiding the aliasing.

Test: IIR Filter Design - Question 3

Is IIR Filter design by Bilinear Transformation is the advanced technique when compared to other design techniques?

Detailed Solution for Test: IIR Filter Design - Question 3

Explanation: Because in other techniques, only lowpass filters and limited class of bandpass filters are been supported. But this technique overcomes the limitations of other techniques and supports more.

Test: IIR Filter Design - Question 4

 The approximation of the integral in

Detailed Solution for Test: IIR Filter Design - Question 4

 

Explanation: By integrating the equation,

Test: IIR Filter Design - Question 5

 

We use y'(nT)=-ay(nT)+bx(nT) to substitute for the derivative in 
and thus obtain a difference equation for the equivalent discrete-time system. With y(n) = y(nT ) and x(n) = x( nT), we obtain the result as _ of the following?

Detailed Solution for Test: IIR Filter Design - Question 5

Explanation: When we substitute the given equation in the derivative of other we get the resultant required equation.

Test: IIR Filter Design - Question 6

 The z-transform of below difference equation is?

Detailed Solution for Test: IIR Filter Design - Question 6

Explanation: By performing the z-transform of the given equation, we get the required output/equation.

Test: IIR Filter Design - Question 7

What is the system function of the equivalent digital filter? H(z) = Y(z)/X(z ) = ? 

Detailed Solution for Test: IIR Filter Design - Question 7

Explanation: As we considered analog linear filter with system function H(s) = b/s+a
Hence, we got an equivalent system function
where,

Test: IIR Filter Design - Question 8

 In the Bilinear Transformation mapping, which of the following are correct?

Detailed Solution for Test: IIR Filter Design - Question 8

Explanation: The bilinear transformation is a conformal mapping that transforms the jΩ-axis into the unit circle in the z-plane and all the points are linked as mentioned above.

Test: IIR Filter Design - Question 9

 In Nth order differential equation, the characteristics of bilinear transformation, let z= rejw,s=o+jΩ Then for  the values of Ω, ℴ are


d) None

Detailed Solution for Test: IIR Filter Design - Question 9

Explanation:

Test: IIR Filter Design - Question 10

In equation  if r < 1 then ℴ < 0 and then mapping from s-plane to z-plane occurs in which of the following order? 

Detailed Solution for Test: IIR Filter Design - Question 10

Explanation: In the above equation, if we substitute the values of r, ℴ then we get mapping in the required way

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