1.

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

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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