1.

What is the magnitude of the frequency response of the system described by the difference equation y(n)=ay(n-1)+bx(n), 0

Answer»

The correct choice is (d) \(\frac{|b|}{\sqrt{1-2acosω+a^2}}\)

To explain I would say: Given y(n)=AY(n-1)+BX(n)

=>H(ω)=\(\frac{|b|}{1-ae^{-jω}}\)

By calculating the magnitude of the above EQUATION we get

|H(ω)|=\(\frac{|b|}{\sqrt{1-2acosω+a^2}}\)



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