Consider a continuous-time lowpass filter whose impulse response h(t) is known to be rea...

Consider a continuous-time lowpass filter whose impulse response h(t) is known to be real and whose frequency response magnitude is given as

(a) Determine and sketch the real-valued impulse response h(t) for this filter when the corresponding group delay function is specified as:

(b) If the impulse response h(t) had not been specified to be real, would knowledge of be sufficient to determine h(t) uniquely? Justify your answer.