A Spectral Factorization Approach to Pseudo-QMF Design

A new approach to the design of M-channel pseudoquadrature-mirror-filter (QMF) banks is presented. In this approach, the prototype filter is obtained as a spectral factor of a 2Mth band filter. This completely eliminates the need for optimization whereas in conventional pseudo-QMF designs, the main computational effort is in optimization of the prototype. As in the conventional approach, the aliasing cancellation (AC) constraint ensures that all the significant aliasing terms are canceled. The overall transfer function T(z) of the analysis/synthesis system has a linear phase and an approximately “flat” magnitude response in the frequency region ε ≤ ω ≤ (π - ε), where ε depends on the transition bandwidth of the prototype and 0 < ε < (π/2M). Three design examples are included

Cosine-modulated FIR filter banks satisfying perfect reconstruction

The authors obtain a necessary and sufficient condition on the 2M (M = number of channels) polyphase components of a linear-phase prototype filter of length N = 2mM (where m = an arbitrary positive integer), such that the polyphase component matrix of the modulated filter is lossless. The losslessness of the polyphase component matrix, in turn, is sufficient to ensure that the analysis/synthesis system satisfies perfect reconstruction (PR). Using this result, a novel design procedure is presented based on the two-channel lossless lattice. This enables the design of a large class of FIR (finite impulse response)-PR filter banks, and includes the N = 2M case. It is shown that this approach requires fewer parameters to be optimized than in the pseudo-QMF (quadrature mirror filter) designs and in the lossless lattice based PR-QMF designs (for equal length filters in the three designs). This advantage becomes significant when designing long filters for large M. The design procedure and its other advantages are described in detail. Design examples and comparisons are included

Some results in the theory of crosstalk-free transmultiplexers

The crosstalk-free transmultiplexer (CF-TMUX) focuses on crosstalk cancellation (CC) rather than on suppressing it. The authors present an analysis of the CF-TMUX based on the polyphase component matrices of the filter banks used in TDM→FDM and FDM→TDM conversions, respectively. Thus a necessary and sufficient condition for complete CC is obtained. It is shown that the filters for a CF-TMUX are the same as the filters for a 1-skewed alias free QMF bank. In addition, if the QMF bank satisfies the perfect reconstruction (PR) property, then the TMUX also satisfies PR. The relation between CF-TMUX filters and alias-free QMF banks is used to obtain a direct design procedure for CF-TMUX filters (both FIR and IIR). It is also shown that approximately crosstalk-free TMUX filters can be obtained from any approximately alias-free QMC bank. Design examples and comparison tables are included

Optical heterodyne analog radio-over-fiber link for millimeter-wave wireless systems

Optical heterodyne analog radio-over-fiber (A-RoF) links provide an efficient solution for future millimeter wave (mm-wave) wireless systems. The phase noise of the photo-generated mm-wave carrier limits the performance of such links, especially, for the transmission of low subcarrier baud rate multi-carrier signals. In this work, we present three different techniques for the compensation of the laser frequency offset (FO) and phase noise (PN) in an optical heterodyne A-RoF system. The first approach advocates the use of an analog mm-wave receiver; the second approach uses standard digital signal processing (DSP) algorithms, while in the third approach, the use of a photonic integrated mode locked laser (MLL) with reduced DSP is advocated. The compensation of the FO and PN with these three approaches is demonstrated by successfully transmitting a 1.95 MHz subcarrier spaced orthogonal frequency division multiplexing (OFDM) signal over a 25 km 61 GHz mm-wave optical heterodyne A-RoF link. The advantages and limitations of these approaches are discussed in detail and with regard to recent 5G recommendations, highlighting their potential for deployment in next generation wireless systems

Reduced-State Soft-Output Equalization for MIMO-ISI Systems Employing HOM

A reduced complexity soft-output joint equalization scheme is proposed for MIMO-ISI systems employing Higher Order Modulation (HOM). Multi-dimensional set partitioning proposed by Zhang et.al. [1] is applied to form a reduced-state trellis or the subset trellis. The Max-Log-MAP algorithm is modified to operate on the subset trellis in order to generate soft information at reduced complexity. The backward recursion can often be avoided since the forward recursion of the Max-LogMAP algorithm is capable of providing reliable soft information when some fixed decision delay is introduced. This idea is leveraged in the equalization scheme proposed in this paper. It generates soft information using only the forward recursion of the Max-Log-MAP algorithm and is referred to as the Forward-Only algorithm. A key requirement of reduced-state equalization is the ability to decide winners of parallel transitions using low-complexity slicing operations, which is accomplished via a novel flexible-complexity algorithm, viz., Reduced-State Tree Detection. Due to set partitioning, soft decision failure can occur in the forward-only algorithm and in such an event, a general approach to regenerate soft information using delayed decision feedback is proposed. The low complexity and memory requirements of the forward-only algorithm makes it attractive for MIMO-ISI equalizatio