# What is the bandwidth of sinc function?

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## What is the bandwidth of sinc function?

(a) g(t) = sinc(200t) SOLUTION: This sinc pulse corresponds to a bandwidth of W = 100 Hz. Hence, the Nyquist rate is 200 Hz, and the Nyquist interval is 1/200 seconds.

## What is a good frequency resolution?

The frequency resolution is equal to the sampling frequency divided by FFT size. For example, an FFT of size 256 of a signal sampled at 8000Hz will have a frequency resolution of 31.25Hz. If the signal is a sine wave of 110 Hz, the ideal FFT would show a sharp peak at 110Hz.

## What is resolution in signal processing?

Resolution can be expressed in two ways: It is the ratio between the maximum signal measured to the smallest part that can be resolved – usually with an analog-to-digital (A/D) converter. It is the degree to which a change can be theoretically detected, usually expressed as a number of bits.

## What is the value of the sinc function?

The sinc function is very significant in the theory of signals and systems, it is defined as y(t) = sinπt πt −∞ < t < ∞. It is symmetric with respect to the origin. The value of y(0) (which is zero divided by zero) can be found using L’Hopital’s rule to be unity.

## Which is the unnormalized version of the sinc function?

All sums in this section refer to the unnormalized sinc function. ∑ n = 1 ∞ sinc ( n ) = sinc ( 1 ) + sinc ( 2 ) + sinc ( 3 ) + sinc ( 4 ) + ⋯ = π − 1 2 .

## What happens when one sinc function response is maximum?

(When one sinc function response is maximum, all others have zero amplitude.) This is the result implicit in Nyquist’s Bandwidth Theorem [ 1] for impulses applied at the synchronous rate fs = 1/ Ts = 2 fN and represents the condition for complete freedom from intersymbol interference (ISI).

## What is the rectangular function of the sinc filter?

Properties. Euler discovered that The continuous Fourier transform of the normalized sinc (to ordinary frequency) is rect( f ) , where the rectangular function is 1 for argument between − 1 2 and 1 2, and zero otherwise. This corresponds to the fact that the sinc filter is the ideal ( brick-wall,…