Question

Signal: y-sin(2rft) 0.8 0.6 0.4 ? 0.2 0.2 0.6 0.8 t - [seconds] 25 Spectral Density: IY(fl 20 15 10 Frequency -1?]

1. The above two plots show a sinusoidal signal and its spectral content respectively. What is the frequency of the sine wave (and in what units)?

2. What is the largest sampling period (in seconds) that could be used without aliasing for the signal provided. Explain how you obtained the answer.

Answer 1

1. For any signal to caluclate time period u have observe time interval between peaks of the signal. For the above signal time period = 0.6 sec and frequency f=1/0.6=1.66 Hz.which is shown in fig below

or

form the power spectral density also directly we can caluclate the frequncy . if u observe the power spctral density there is a line called amplitude line with magnitude of around 24 at frequncy of 1.66 Hz and this is frequncy of the given signal.

2. answer for second bit

without aliasing the sampling period should be less than half of the tiem peroid and it sholud be less than 0.3 sec.

Aliasing is the effect observed at the receiver side due to insufficient samplig at the transmitter side
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