1.

Given an analog signal

sampled at a rate of 8,000 Hz,

1. sketch the spectrum of the original signal;

2. sketch the spectrum of the sampled signal from 0 kHz to 20 kHz.

2.

Given an analog signal

sampled at a rate of 8,000 Hz,

1. sketch the spectrum of the sampled signal up to 20 kHz;

2. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal.

3.

Given an analog signal

sampled at a rate of 8,000 Hz,

1. sketch the spectrum of the sampled signal up to 20 kHz;

2. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal;

3. determine the frequency/frequencies of aliasing noise.

4.

Assuming a continuous signal is given as

sampled at a sampling rate of 8,000 Hz,

1. sketch the spectrum of the sampled signal up to 20 kHz;

2. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal;

3. determine the frequency/frequencies of aliasing noise.

5.

Given the following second-order anti-aliasing lowpass filter, which is a Butterworth type, determine the values of circuit elements if we want the filter to have a cutoff frequency of 1,000 Hz.

6.

From Problem...