Topic
Harmonic wavelet transform
About: Harmonic wavelet transform is a research topic. Over the lifetime, 9602 publications have been published within this topic receiving 247336 citations.
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TL;DR: Several algorithms for the reconstruction of an unknown spatially limited function from M of its projections are considered, all of which perform the reconstruction in Fourier space by exploiting the projection theorem.
74 citations
TL;DR: In this article, the authors discuss the pros and cons of the three phase demodulation techniques on phase calculation at discontinuities and/or slopes, and compare the performance of Fourier transform, Windowed Fourier Transform (WFT), and Wavelet Transform (WT).
73 citations
01 Jan 2009
TL;DR: In this article, the model for DWT-OFDM includes zero-padding and vector transpose for transmitting the OFDM signal MATLAB simulation commands are also described The discrete wavelet transform of OFDM has to satisfy the orthonormal bases and the perfect reconstruction properties to be considered as wavelets transform.
Abstract: Comparative studies on DWT-OFDM and FFTOFDM systems are presented The model for DWT-OFDM includes zero-padding and vector transpose for transmitting the OFDM signal MATLAB simulation commands are also described The discrete wavelet transform-OFDM (DWT-OFDM) has to satisfy the orthonormal bases and the perfect reconstruction properties to be considered as wavelet transform Different wavelet families have been used and compared with the conventional FFT-OFDM system It is found that the DWTOFDM platform has less mean amplitude for transmitting the signal as compared to conventional FFT-OFDM system Results also show that DWT-OFDM is superior as compared to FFTOFDM with regards to the bit error rate (BER) performance, especially when it uses bior55 or rbior33 wavelet family
73 citations
01 Jan 2001
TL;DR: The example of the musical score indicates that a reasonable and useful form of time-frequency analysis should still be possible and realizable.
Abstract: We have seen that ideal time-frequency analysis faces a fundamental obstacle in the form of the uncertainty principle. Nevertheless, the example of the musical score indicates that a reasonable and useful form of time-frequency analysis should still be possible and realizable.
73 citations
TL;DR: The windowed Fourier transform is generalized to the windowed linear canonical transform by substituting the Fouriertransform kernel with the linear canonicaltransform kernel in the windowing Fourier Transform definition.
73 citations