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If h(n) is absolutely summable, i.e., BIBO stable, then the equation for the frequency response H(ω) is given as?(a) HI(ω)-j HR(ω)(b) HR(ω)-j HI(ω)(c) HR(ω)+j HI(ω)(d) HI(ω)+j HR(ω)This question was posed to me in class test.The doubt is from General Considerations for Design of Digital Filters in division Digital Filters Design of Digital Signal Processing |
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Answer» RIGHT option is (c) HR(ω)+j HI(ω) To explain I would say: If h(n) is absolutely summable, i.e., BIBO stable, then the FREQUENCY response H(ω) EXISTS and H(ω)= HR(ω)+j HI(ω) where HR(ω) and HI(ω) are the Fourier TRANSFORMS of he(n) and HO(n) respectively. |
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