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Table 5 Modified arrays h ~ and C ~ to compute the short time Fourier-, cosine-, sine-, and Hartley-based DNA spectrum of (60)

From: Map-invariant spectral analysis for the identification of DNA periodicities

ST-DFT

h ~ =h={ ( 1 ) i ,i=1,2,…M/R}

 

C ~ =C={ e − j 2 Π r / R ,r=1,2,…R}

ST-DCT

h ~ ={ ( − 1 ) i ,i=1,2,…M/R}

 

C ~ ={cos((2r+1)Π/2R),r=1,2,…R}

ST-DST

h ~ ={ ( − 1 ) i ,i=1,2,…M/R}

 

C ~ ={sin((2r+1)Π/2R),r=1,2,…R}

ST-DHT

h ~ =h={ ( 1 ) i ,i=1,2,…M/R}

 

C ~ ={cos(2Πr/R)+sin(2Πr/R),r=1,2,…R}