Window

Functions
arma_inline arma::vec	sp::cos_win (const arma::uword N, const arma::vec &a)
arma_inline arma::vec	sp::hamming (const arma::uword N)
arma_inline arma::vec	sp::hann (const arma::uword N)
arma_inline arma::vec	sp::blackman (const arma::uword N)
arma_inline arma::vec	sp::blackmanharris (const arma::uword N)
arma_inline arma::vec	sp::flattopwin (const arma::uword N)
arma_inline arma::vec	sp::hanning (const arma::uword N)
arma_inline arma::vec	sp::kaiser (const arma::uword N, double beta)
arma_inline arma::vec	sp::triang (const arma::uword N)

Detailed Description

See window functions at Wikipedia

Function Documentation

blackman()

arma_inline arma::vec sp::blackman

(

const arma::uword

N

)

Blackman window.

\( w_i = 0.42-0.5 cos(2\pi i /(N-1))+0.08 cos(4\pi i /(N-1))\)

Parameters

N	Nr of taps

Definition at line 71 of file window.h.

References sp::cos_win().

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blackmanharris()

arma_inline arma::vec sp::blackmanharris

(

const arma::uword

N

)

Blackman-Harris window. Symmetric BH4 window.

\( w_i = 0.359-0.488 cos(2\pi i /(N-1))+0.141 cos(4\pi i /(N-1))-0.011 cos(6\pi i /(N-1))\)

Parameters

N	Nr of taps

Definition at line 88 of file window.h.

References sp::cos_win().

Referenced by sp::fd_filter().

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cos_win()

arma_inline arma::vec sp::cos_win	(	const arma::uword	N,
		const arma::vec &	a
	)

Generic fifth order symmetric cos window.

\( w_i = a_0-a_1 cos(2\pi i /(N-1))+a_2 cos(4\pi i /(N-1))-a_3 cos(6\pi i /(N-1))+a_4 cos(8\pi i /(N-1))\)

Returns

The cosinus window based on the a vector

Parameters

N	Number of window taps
a	A vector of cosinus coefficients

Definition at line 26 of file window.h.

References sp::PI_2.

Referenced by sp::blackman(), sp::blackmanharris(), sp::flattopwin(), sp::hamming(), and sp::hann().

flattopwin()

arma_inline arma::vec sp::flattopwin

(

const arma::uword

N

)

Flattop window.

\( w_i = 0.216-0.417 cos(2\pi i /(N-1))+0.277 cos(4\pi i /(N-1))-0.084 cos(6\pi i /(N-1))+0.007 cos(8\pi i /(N-1))\)

Parameters

N	Nr of taps

Definition at line 105 of file window.h.

References sp::cos_win().

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hamming()

arma_inline arma::vec sp::hamming

(

const arma::uword

N

)

Hamming window.

\( w_i = 0.54-0.46 cos(2\pi i /(N-1))\)

Parameters

N	Nr of taps

Definition at line 43 of file window.h.

References sp::cos_win().

Referenced by sp::fir1(), sp::fir1_bp(), sp::fir1_bs(), sp::fir1_hp(), sp::psd(), and sp::specgram_cx().

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hann()

arma_inline arma::vec sp::hann

(

const arma::uword

N

)

Hann window.

\( w_i = 0.5-0.5 cos(2\pi i /(N-1))\)

Parameters

N	Nr of taps

Definition at line 57 of file window.h.

References sp::cos_win().

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hanning()

arma_inline arma::vec sp::hanning

(

const arma::uword

N

)

Hanning window.

\( w_i = 0.5-0.5 cos(2\pi (i+1) /(N+1))\)

Parameters

N	Nr of taps

Definition at line 122 of file window.h.

References sp::PI_2.

kaiser()

arma_inline arma::vec sp::kaiser	(	const arma::uword	N,
		double	beta
	)

Kaiser window.

See Kaiser window at Wikipedia

Parameters

N	Nr of taps
beta	Beta factor

Definition at line 140 of file window.h.

References sp::besseli0().

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triang()

arma_inline arma::vec sp::triang

(

const arma::uword

N

)

Triangle window.

See Triangle window at Wikipedia

Parameters

N	Nr of taps

Definition at line 158 of file window.h.