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^jω)(b) 0.1/(1+0.9e^-jω)(c) 0.1/(1-0.9e^jω)(d) None of the mentionedThe question was asked in an interview for job.My question is taken from LTI System as Frequency Selective Filters topic in section Frequency Analysis of Signals and Systems of Digital Signal Processing

If the low pass filter described by the difference equation y(n)=0.9y(

1.	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^jω)(b) 0.1/(1+0.9e^-jω)(c) 0.1/(1-0.9e^jω)(d) None of the mentionedThe question was asked in an interview for job.My question is taken from LTI System as Frequency Selective Filters topic in section Frequency Analysis of Signals and Systems of Digital Signal Processing
Answer» Right answer is (b) 0.1/(1+0.9e^-jω) 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).

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