This paper proposes a low-complexity channelization algorithm for multi-standard receiver platforms based on the Hybrid Trigonometry Generalized Discrete Fourier Transform (HTGDFT). The algorithm exploits the orthogonality of trigonometric Fourier functions together with the structural advantages of Quadrature Mirror Filter Banks (QMFB) and Exponential Modulated Filter Banks (EMFB). A polyphase implementation of HTGDFT is developed for both critically sampled and oversampled modes, enabling high reconfigurability, reduced filter length, and parallelism with moderate computational requirements. Simulation results demonstrate that, for oversampled single-standard receiver channels, HTGDFT achieves a 40% reduction in complexity, compared to 34% and 38% reductions obtained with DFT and TQMF algorithms, respectively. In over-sampled multi-standard operation, HTGDFT reduces complexity by 46%, outperforming PGDFT and RGDFT (41%). For critically sampled multi-standard receivers, HTGDFT achieves a 70% complexity reduction, significantly exceeding the 34% reduction achieved by PGDFT and RGDFT. These results highlight the potential of HTGDFT as an efficient and re-configurable channelization solution for software-defined radio platforms.

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Critically Sampled Hybrid Trigonometry Generalized Discrete Fourier Transform (HTGDFT) for Multi-standard Receiver Platform

  • Temidayo Oluwafunke Otunniyi

摘要

This paper proposes a low-complexity channelization algorithm for multi-standard receiver platforms based on the Hybrid Trigonometry Generalized Discrete Fourier Transform (HTGDFT). The algorithm exploits the orthogonality of trigonometric Fourier functions together with the structural advantages of Quadrature Mirror Filter Banks (QMFB) and Exponential Modulated Filter Banks (EMFB). A polyphase implementation of HTGDFT is developed for both critically sampled and oversampled modes, enabling high reconfigurability, reduced filter length, and parallelism with moderate computational requirements. Simulation results demonstrate that, for oversampled single-standard receiver channels, HTGDFT achieves a 40% reduction in complexity, compared to 34% and 38% reductions obtained with DFT and TQMF algorithms, respectively. In over-sampled multi-standard operation, HTGDFT reduces complexity by 46%, outperforming PGDFT and RGDFT (41%). For critically sampled multi-standard receivers, HTGDFT achieves a 70% complexity reduction, significantly exceeding the 34% reduction achieved by PGDFT and RGDFT. These results highlight the potential of HTGDFT as an efficient and re-configurable channelization solution for software-defined radio platforms.