Consider a linear time-invariant channel having the impulse response h(t,)=a0()+a1(1)+a2(2)) Where a0=1 volt, a1=0.1 volt, and a2=1 volt are the amplitudes of this fading channel attained at 0=0,1=1s and 2=2s a) Plot the power profile of this channel b) Determine the mean excess delay time and the rms delay spread . c) Determine the maximum excess delay at 30dB d) If the channel is to be used with a modulation of 8-PSK that requires an equalizer whenever the symbol duration Ts10. Determine the maximum bit rate that can be supported without requiring an equalizer e) If a mobile is traveling with a velocity of 30Km/hr receives a signal through the channel, determine the time over which the channel considered stationary if the carrier frequency is 900MHz and determine whether the channel is slow or fast fading. f) Find the frequency response of the channel g) Sketch the magnitude and the phase of the frequency response as a function of frequency showing all important points