Design of Perfect Reconstruction Cosine Modulated Filter Bank with Linear Phase

We propose the quadratic constrained formulas for the design of linear phase cosine modulated paraunitary filter banks given in references . Using these formulae, we can, directly, optimize the prototype filter coefficients in a quadratic form. A design example is also given to demonstrate these formulae in this paper.

Perfect Reconstructable Decimated One-Dimensional Empirical Mode Decomposition Filter Banks

This paper introduces decimated filter banks for the one-dimensional empirical mode decomposition （1D-EMD）. These filter banks can provide perfect reconstruction and allow for an arbitrary tree structure. Since the EMD is a data driven decomposition, it is a very useful analysis instrument for non-stationary and non-linear signals. However, the traditional 1D-EMD has the disadvantage of expanding the data. Large data sets can be generated as the amount of data to be stored increases with every decomposition level. The 1D-EMD can be thought as having the structure of a single dyadic filter. However, a methodology to incorporate the decomposition into any arbitrary tree structure has not been reported yet in the literature. This paper shows how to extend the 1D-EMD into any arbitrary tree structure while maintaining the perfect reconstruction property. Furthermore, the technique allows for downsampling the decomposed signals. This paper, thus, presents a method to minimize the data-expansion drawback of the 1D-EMD by using decimation and merging the EMD coefficients. The proposed algorithm is applicable for any arbitrary tree structure including a full binary tree structure.

Analysis of Nusselt Number Distribution in Case of a Strongly Heated,Horizontal Rod

The presented research was focused on a comparison between different means of obtaining a Nusselt number distribution,in a situation where neither temperature nor heat flux density is constant.Two fundamentally different measurement techniques have been utilized,alongside a CFD simulation,in order to designate temperature distributions in a horizontal rod.Dry air under normal pressure,regarded as a perfect gas,was chosen as the working fluid,whereas the rod's cross-section was restricted to a ring.In this scenario heat exchange between the rod and the fluid is driven predominantly by natural convection,with a slight impact of thermal radiation,particularly at temperatures approaching the top end of the available range.Temperature margins achieved at the heated end of the rod ranged from 60 K up to 150 K,resulting in local Rayleigh numbers falling in-between 6.0xl03 and 2.6xl04.Reconstruction of Nusselt numbers from a discrete temperature distribution was possible thanks to a dedicated method implemented using a Scilab script.A segregated,steady-state solver based on the SIMPLE scheme was utilized for the purpose of numerical simulations on the fluid side,whereas a heat conduction equation was solved over solid domain in the considered conjugated heat transfer problem.A corresponding set of empirical data has been obtained,using both resistance temperature detectors and a thermal imaging camera,both for the sake of numerical model validation and comparison of individual methods.The Nusselt numbers resulting from each approach were compared against values computed using available correlations valid for horizontal configuration.

Time-domain modified DFT modulated filter banks for multi-carrier transceiver systems

A time domain designing method is proposed for discrete Fourier transform （DFT） modulated filter banks （DFT-FBs） for application in multi-carrier transceiver systems. Instead of using the time-reversed pair limitation between the transmitting /receiving filter pair, the receiving filters in the proposed filter banks are derived from transmitting filters in accordance with the Moore-Penrose generalized inverse matrix. It can be freely obtained to design the transmitting prototype filter, which mainly affects the level of spectral containment. Furthermore, the symbol error rate （SER） performance of the proposed filter bank based trans-multiplexer with one tap equalizer is investigated in ideal channel and multi-path channel environments respectively. Simulation shows that the proposed approach can achieve significant SER reductions when square root raised cosine （RRC） prototype filter is used for comparing with the orthogonal frequency division multiplexing （OFDM） and the general DFT-FBs based applications.