Test: IIR Filter Design
10 Questions MCQ Test Signals and Systems | Test: IIR Filter Design
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In IIR Filter design by the Bilinear Transformation, the Bilinear Transformation is a mapping from
Explanation: From the equation,
it is clear that transformation occurs from s-plane to z-plane
In Bilinear Transformation, aliasing of frequency components is been avoided.
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.
Is IIR Filter design by Bilinear Transformation is the advanced technique when compared to other design techniques?
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.
Explanation: By integrating the equation,
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?
Explanation: When we substitute the given equation in the derivative of other we get the resultant required equation.
Explanation: By performing the z-transform of the given equation, we get the required output/equation.
What is the system function of the equivalent digital filter? H(z) = Y(z)/X(z ) = ?
Explanation: As we considered analog linear filter with system function H(s) = b/s+a
Hence, we got an equivalent system function
where,
In the Bilinear Transformation mapping, which of the following are correct?
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.
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
Explanation:
In equation 
if r < 1 then ℴ < 0 and then mapping from s-plane to z-plane occurs in which of the following order?
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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