1.

The filter eliminates the spectrum of X(ω) in the range π/D < ω < π.(a) True(b) FalseThis question was posed to me in an interview for internship.I'd like to ask this question from Decimation by a Factor D topic in section Multirate Digital Signal Procesing of Digital Signal Processing

Answer»

Correct answer is (a) True

For EXPLANATION: The input sequence x(n) is passed through a low pass filter, characterized by the impulse RESPONSE h(n) and a frequency response HD(ω), which IDEALLY satisfies the condition,

HD(ω)=1, |ω| ≤ π/D

=0, otherwise

Thus the filter eliminates the spectrum of X(ω) in the RANGE π/D < ω < π.



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