Band-limited interpolation discrete time signal It is a basic tool with a wide range of applications in digital signal processing. In general, the problem is to correctly compute an arbitrary continuous-time signal value from a set of discrete-time samples of signal amplitude.

What does Bandlimited mean?

Bandlimiting is the limit The frequency domain representation or spectral density of a signal is zero above some finite frequency. A band-limited signal is a signal whose Fourier transform or spectral density has limited support. Band-limited signals can be random (random) or non-random (deterministic).

Why do we use Bandlimited signals?

A bandpass signal is characterized by Bandwidth not bounded by zero at its lower end…so we can use a small offset in the frequency domain, which allows for a sampling frequency lower than that required for a signal whose spectrum occupies all frequencies from zero to αU.

How can you tell if a signal is bandwidth limited?

As Fadi Mkhayel said, in order to know if a signal is bandwidth limited, you have to find Its Fourier series. The series consists of « sin » and « cos ». If the series extends to infinity, the signal is not band limited. In your case you only have 2 frequencies and the signal is band limited.

But what is a Fourier transform? Visual introduction.

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