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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 splane to zplane
In Bilinear Transformation, aliasing of frequency components is been avoided.
Explanation: The bilinear transformation is a conformal mapping that transforms the jΩaxis into the unit circle in the zplane 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 discretetime 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 ztransform 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 jΩaxis into the unit circle in the zplane and all the points are linked as mentioned above.
In Nth order differential equation, the characteristics of bilinear transformation, let z= re^{jw},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 splane to zplane 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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