Problem 1 A continuous signal is given as: x(t)=10cos(2x6000t)+5sin(2x7000t), for t20 sampled at a rate of 10000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 10 kHz is used to filter the sampled signal in order to recover the original signal. c. Determine the frequency/frequencies of aliasing noise d. What should the sampling frequency be to avoid aliasing? Assume a 4-bit ADC is used, determine the following: a. Number of quantization level b. Step size of the quantizer resolution (you need to figure out the range of your signal) Quantization error c.