Blackman Function

An apodization function given by

(1)

which has full width at half maximum of . This function is defined so that the coefficients are approximations in the general expansion

(2)

to

			(3)
			(4)
			(5)

which produce zeros of  at  and .

The corresponding instrument function is

(6)

where  is the sinc function. It is full width at half maximum is .

REFERENCES:

Blackman, R. B. and Tukey, J. W. "Particular Pairs of Windows." In The Measurement of Power Spectra, From the Point of View of Communications Engineering. New York: Dover, pp. 98-99, 1959.