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The rectangular function, the frequency response of the sinc filter. In signal processing, a sinc filter is an idealized filter that removes all frequency components above a given cutoff frequency, without affecting lower frequencies, and has linear phase response.The filter's impulse response is a sinc function in the time domain, and its frequency response is a rectangular function.It is an ideal low-pass filter in the frequency sense, perfectly passing low frequencies, perfectly cutting high frequencies; and thus may be considered to be a brick-wall filter.he sinc filter is not bounded-inputâbounded-output (BIBO) stable. That is, a bounded input can produce an unbounded output, because the integral of the absolute value of the sinc function is infinite. A bounded input that produces an unbounded output is sgn(sinc(t)).
Lanczos kernels for the cases a = 2 and a = 3. Note that the function obtains negative values. The effect of each input sample on the interpolated values is defined by the filter's reconstruction kernel L(x) , called the Lanczos kernel.n the latter case it maps each sample of the given signal to a translated and scaled copy of the Lanczos kernel, which is a sinc function windowed by the central lobe of a second, longer, sinc function. The sum of these translated and scaled kernels is then evaluated at the desired points.