Frequency of sinc function

The sinc function as audio, at 2000 Hz (±1.5 seconds around zero).
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Sinc function.

1. How do you find the bandwidth of a sinc function?
2. What is the Fourier transform of sinc function?
3. Is a sinc function band limited?
4. What is the energy of a sinc function?

How do you find the bandwidth of a sinc function?

(c) g(t) = sinc(200t) + sinc2(200t) SOLUTION: The bandwidth of g(t) is determined by the highest frequency content of either sinc(200t) or sinc2(200t). From earlier parts, we know that sinc2(200t) has the higher bandwidth equal to 200 Hz.

What is the Fourier transform of sinc function?

The Fourier transform of the sinc function is a rectangle centered on ω = 0. This gives sinc(x) a special place in the realm of signal processing, because a rectangular shape in the frequency domain is the idealized “brick-wall” filter response.

Is a sinc function band limited?

Answer 1. Yes, this signal is band limited. It is a sinc function, and its Fourier transform can be found using the table of formulas in the textbook on page 329. This is band limited.

What is the energy of a sinc function?

Now, Since the Energy of sinc function is easier to calculate in the frequency domain. The Fourier Transform of sinc (5t) is represented as: i.e E = ∫ − ∞ + ∞ ⁡ d f.