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Higher Study | Signals and Systems | Sampling

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is
Calculate the minimum sampling rate to avoid aliasing when a continuous-time signal is given by x(t) = 5 cos 400πt
Determine whether the following statements are true or false with respect to Pulse Amplitude Modulation.  a) Instantaneous sampling of the message signal m(t) every Ts second, where the sampling rate fs = 1/Ts is chosen in accordance of the sampling theorem.  b) Lengthening the duration of each sample obtained to some constant value T. 
What is the minimum sampling rate to avoid aliasing when a continuous time signal is given by x(t) = 10 cos 400πt?
In Digital Filters, how many interpolated data points are inserted between samples performing 4X over sampling?
For the spectrum shown in the given figure, what is the minimum sampling rate to completely represent the signal?
The highest frequency component of a speech signal needed for telephonic communications is about 3.1 kHz. What is the suitable value for the sampling rate ?
A continuous time signal is given by x(t) = 5 cos 100πt. What is the minimum sampling rate required to avoid aliasing.
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