Signal Processing & DSP
Advanced

Normalised Sinc Function

The ideal interpolation kernel for reconstructing sampled signals.

Formula

sinc(x)=sin⁡(πx)πx\text{sinc}(x) = \frac{\sin(\pi x)}{\pi x}

Variables

xArgument

Example

sinc(0) = 1; sinc(1) = 0

Did You Know?

Perfect reconstruction uses an infinitely long sinc — real converters approximate it with finite filters.

dspsincinterpolation

Share this formula

More in Signal Processing & DSP

View all

Nyquist Rate

Intermediate

Sample at least twice the highest frequency to avoid aliasing.

FFT Bin Frequency

Advanced

Frequency represented by the k-th bin of an N-point FFT.

Frequency Resolution

Intermediate

Spacing between adjacent FFT bins.

Signal-to-Noise Ratio

Basic

Ratio of signal power to noise power, in decibels.

Quantisation SNR

Advanced

Best possible SNR (dB) of an ideal b-bit converter.

Decibel (Power Ratio)

Basic

Express a power ratio in decibels.