Given an analog signal
x(t)=5 cos( 2pi*2500 t) + 2 cos( 2pi*4500 t) for t>= 0
Sampled at a rate of 8000 Hertz
a. Sketch the spectrum of the sampled signal up to 20 KHz.
b. Sketch the recovered analog signal if an ideal (brick wall) low pass filter with a cutoff frequency of 4 KHz is used to filter the sampled signal in order to recover the original signal.
c. Determine the frequency/frequencies of the aliasing noise.