148and for 0 5 j 5 y , (18) for ( y + 1) 5 j 5 ( M -1). (19) Since (16) is an M-point DCT-111 [5], any of the famous fast DCT algorithms [5]-[7] can be used to reduce the computational complexity to O( % log, M ) . Here, we can use the mixed DIF and DIT fast DCT method to reduce further the number of multiplications.After performing the first DIT procedure [7] to (16), we obtain M / Z -1
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