The transfer function of a filter is

(a) Find the poles and zeros of H(s) and use this information to sketch the magnitude response |H(jΩ)|of the filter. Indicate the magnitude response at frequencies 0, 1, and ˆž. Indicate what type of filter it is.

(b) Find the impulse response h(t) of the filter.

(c) The above filter is connected in series with a defective sinusoidal signal generator that gives biased sinusoids x(t) = B + cos(Ωt). If the signal generator can give all possible frequencies, for what frequency (or frequencies) Ω_­0 is the filter output y(t) = cos(Ω_ot + θ), i.e., the dc bias is filtered out. Determine the phase (or phases) θ0for that frequency (or frequencies).

Transcribed Image Text:

V5s s* + 2s + 2 H(s)