Improved Slant and Walsh-Hadamard transforms for audio signals using watermarking as application with comparison to DCT, DWT, FWHT, LWT and Wav-Decomposition

Abstract

Audio signals are transmitted and recorded in time (or spatial) domain,
transformed to frequency domain when compressed, watermarked or
encrypted. The transformation is done by using some form of transform like
Discrete cosine transform(DCT), Fast Fourier transform(FFT), Discrete
wavelet transform( DWT), Fast Walsh Hadamard transform(FWHT) and
many others. Slant transform(SLT) was mainly produced and used for images;
it was proved that Slant had better performance measurements than WalshHadamard transform, although they have many common characteristics, SLT
has fast and simple computations ; In this paper a modified Slant transform
that has the ability to work efficiently with audio files and modified WHT
were introduced. The modified and other transforms were used especially in
audio watermarking as one of the most important applications on both
‘transforms and audio’. The new improvements were tested on many audio
files and compared to other transformers using SNR, BER, Time and other
metrics.