Assignment title: Information


• Represent sampled signals in the time and frequencydomainsand explain the equivalence between domains.• Explain the significance of Nyquist's criteria andrecognise the effects aliasing distortion has on a signal.• Utilise MATLAB to simulate the operation of an analogueto digital conversion systemTask 1 – Identifying the Nyquist Rate for SignalsExercise:Create a 10 second time vector in MATLAB. Use a simulation accuracy of:Ts = 1/16000; %Time-step for simulationUsing the formulae for a chirp from lectorial 4 slides 5 and 6, create a chirpsignal from this time vector that starts at the frequency f0= 100 Hz and has amodulation index of μ = 5.Plot this signal in both the time and frequency domains. Note how thespectrum looks when displayed on the graph and the frequencies present.Also use soundsc() to listen to the chirp signal if you'd like.What frequency range does this signal have? What is the single-sidedbandwidth of this signal? Calculate this exactly using the formula forinstantaneous frequency in lecture 4.- From Nyquist's first criterion what is the absolute minimumsampling rate that could be used to sample this signal?at the signal's spectrum and determine where most of the energylies. What is the approximate maximum frequency contained in thesesignals?- At what sampling frequency did the audio start to noticeably distort?How did this relate to the frequencies in the original signal (look at thespectrum you generated)?- Discuss how aliasing occurs and why.- Contrast the effect reducing the sampling rate had on speech asopposed to the music files.