Efficient analytic discrete cosine harmonic wavelet transform OFDM with denoising

Abstract

The present wireless implementation needs efficient modulation methods and signal processing at physical layer to enhance system performance. Orthogonal Frequency Division Multiplexing (OFDM) is one such modulation and multiplexing method preferred for such implementation. OFDM implementation using harmonic wavelets has better performance and implementation simplicity. In this paper denoising is applied to Analytic Discrete Cosine Harmonic Wavelet Transform OFDM (ADCHWT OFDM) which is implemented in harmonic wavelet domain. An ADCHWT is simple and shift invariant as it does not involve explicit decimation, interpolation and associated filtering and delay compensation. The reduced leakage and computational simplicity offered by ADCHWT provide an interesting opportunity to explore its application for OFDM system. By application of denoising BER, the performance is further improved in shift invariant ADCHWT OFDM compared to its earlier version Discrete Cosine Harmonic Wavelet Transform (DCHWT OFDM). Further its peak to average power ratio (PAPR) performance is also improved over those of DFT OFDM and Haar WTOFDM.