Part A: Cross-Correlation Analysis

1. A radar transmits a signal (st) to detect aircrafts nearby. The signal sr1 is received when there is an aircraft and the signal sr2 is received where is no aircraft in radar's range.
2. You will be guided to produce the three signals  st, sr1 and sr2.
3. You are required to use correlation to analyse these three signals to establish on which occasion an aircraft is near by. For the case where there is an aircraft nearby, determine the distance of the aircraft to the radar. Critically discuss your observations.
4. Critically investigate how noise affects the operation of correlation.

Part B: Filter Design

The following guide helps you to achieve the aim.

Generate three sinewaves (s1, s2, s3) with specification show in table below

Mix the three signals together to generate a new signal called s.

1. Design a lowpass finite impulse response filter (fir) to isolate s1.
2. Use spectrum analysis to determine the effectiveness of filter in isolating s1 from s.
3. Investigate how the number of filter coefficient affects its performance.
4. Design a highpass fir to isolate s3 from s.
5. Use spectrum analysis to determine the effectiveness of filter in isolating s3.
6. Design a bandpass fir to isolate s2. from s.
7. Design a suitable Butterworth to isolate s1 and s3.
8. Compare the characteristics and performance of fir filter against tat of Butterworth.

Part C: Spectral Analysis

1. You will be provided with a signal called sa1. Use fast Fourier transform to obtain its frequency spectrum. Plot the magnitude and phase of the frequency spectrum of sa1, ensuring horizontal axis is Hz. Critically explain the information provided by the resulting spectrum.
2. The signal sa2 is similar to sa1, but it has a larger length . Plot the magnitude and phase of the frequency spectrum of sa2, ensuring horizontal axis is Hz. Compare the spectra of sa1 with sa2, critically comment on findings.