Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters

A new method of designing linear-phase FIR filters is proposed by minimizing a quadratic measure of the error in the passband and stopband. The method is based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The proposed design procedure is general enough to incorporate both time- and frequency-domain constraints. For example, Nyquist filters can be easily designed using this approach. The design time for the new method is comparable to that of Remez exchange techniques. The passband and stopband errors in the frequency domain can be made equiripple by an iterative process, which involves feeding back the approximation error at each iteration. Several numerical design examples and comparisons to existing methods are presented, which demonstrate the usefulness of the present approach

Conformação de pulso de formas de onda OFDM para a interface aérea 5G

Orientador: Luís Geraldo Pedroso MeloniDissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de ComputaçãoResumo: As formas de onda com multiplexação ortogonal por divisão de freqüência (OFDM) foram utilizadas com sucesso na interface aérea 3GPP LTE para superar a seletividade do canal e proporcionar uma boa eficiência espectral e altas taxas de transmissão de dados. O próximo sistema de comunicações 5G tem como objetivo oferecer suporte a mais serviços do que o antecessor, como comunicações de banda larga móveis, comunicações de tipo máquina e comunicações de baixa latência, e considera muitos outros cenários de aplicação, como o uso de espectro fragmentado. Esta diversidade de serviços com diferentes requisitos não pode ser suportada pela OFDM convencional, pois OFDM configura toda a largura de banda com parâmetros que atendem a um serviço em particular. Além disso, pode ocorrer interferência interportadora (ICI) quando a OFDM convencional é usada com multiplexação assíncrona de múltiplos usuários e isso é devido às altas emissões fora de banda (OOB) das subportadoras e à violação da condição de ortogonalidade do sinal. Portanto, para atender aos requisitos das futuras aplicações sem fio 5G, o desenvolvimento de uma interface aérea inovadora com novas capacidades torna-se necessário, em particular, uma nova forma de onda mais espectralmente ágil do que OFDM capaz de suportar múltiplas configurações, suprimindo efetivamente a interferência entre usuários, e com integração direta com as camadas superiores. Este trabalho centra-se em duas técnicas de conformação de pulsos para reduzir a emissões fora de banda e melhorar o desempenho de formas de onda baseadas em OFDM. A conformação de pulsos pode permitir o uso de parametrizações múltiplas dentro da forma de onda e abandonar os paradigmas rígidos de ortogonalidade e sincronismo com uma degradação de desempenho causada por interferência intersymbol (ISI) e ICI relativamente baixa. A primeira parte aborda um método de modelagem de pulso baseado na filtragem por subportadora para reduzir a emissão fora de banda no transmissor e interferência de canal adjacente (ACI) no receptor. Ele pode ser implementado usando funções de janela e alguns formatos de janela são apresentados nesta parte. O primeiro usa o prefixo cíclico (CP) existente dos símbolos para suavizar as transições abruptas do sinal, portanto, os grandes lóbulos espectrais sinc causados pelos filtros retangulares. Isso garante a compatibilidade retroativa em sistemas que usam OFDM com prefixo cíclico (CP-OFDM). O formato da segunda janela estende o comprimento do CP para reter a capacidade da forma de onda para combater a propagação do atraso do canal. Os efeitos no desempenho do ISI e ICI são estudados em termos de relação de sinal para interferência (SIR) e taxa de erro de bit (BER) usando formas de onda LTE em um cenário de espectro fragmentado multi-usuário. A segunda parte deste trabalho aborda o desenho e análise de filtros para a contenção espectral flexível em transceptores com filtragem baseada em sub-banda. Este filtro, chamado aqui semi-equiripple, exibe melhor atenuação na banda de rejeição para reduzir as interferências entre subbandas do que os filtros equiripple e filtros sinc baseados em janelamento e também possui boas características de resposta ao impulso para reduzir o ISI. O projeto de filtros baseia-se no algoritmo Parks-McClellan para obter diferentes taxas de decaimento da banda de parada e atende a especificações arbitrárias de máscaras de emissão de espectro (SEM) com baixa distorção dentro da banda. Portanto, pode ser útil para obter baixas emissões fora da banda e configurar sub-bandas com parâmetros independentes, uma vez que a interferência assíncrona é contida pelos filtros. São estudadas três distorções de ISI no filtro: espalhamento de símbolos relacionado à causalidade do filtro, ecos de símbolos devido a ondulações na banda e amplificação de ISI devido a amostras de valores anômalas nas caudas de sua resposta de impulso. O desempenho do filtro é avaliado em termos de densidade de espectro de potência (PSD) e conformidade com SEMs, taxa de erro de modulação (MER) e operação em um esquema assíncrono multi-serviço usando uma única forma de onda. O SIR e o efeito da filtragem na precisão da modulação são avaliados usando formas de onda OFDM ISDB-T e LTE. Estruturas de hardware flexíveis também são propostas para implementações reais. Os resultados mostram que esses métodos de conformação de pulso permitem que a forma de onda explore os fragmentos de espectro disponíveis e ofereça suporte a múltiplos serviços sem uma penalidade de desempenho significativa, o que pode permitir uma interface aérea mais flexívelAbstract: Orthogonal frequency division multiplexing (OFDM) waveforms have been used successfully in the 3GPP Long Term Evolution (LTE) air interface to overcome the channel selectivity and to provide good spectrum efficiency and high transmission data rates. The forthcoming 5G communication system aims to support more services than its predecessor, such as enhanced mobile broadband, machine-type communications and low latency communications, and considers many other application scenarios such as the fragmented spectrum use. This diversity of services with different requirements cannot be supported by conventional OFDM since OFDM configures the entire bandwidth with parameters attending one service in particular. Also, substantial intercarrier interference (ICI) can occur when conventional OFDM is used with asynchronous multiuser multiplexing and this is due to the high out-of-band (OOB) emissions of the subcarriers and the violation of the signal orthogonality constraint. Therefore, to meet the requirements of future 5G wireless applications, the development of an innovative air interface with new capabilities becomes necessary, in particular, a new waveform more spectrally agile than OFDM capable of supporting multiple configurations, suppressing the inter-user interference effectively, and with straightforward integration with the upper layers. This work focuses on two pulse shaping techniques to reduce the OOB emission and improve the in-band and OOB performances of OFDM-based waveforms. Pulse shaping can enable the use of multiple parameterizations within the waveform and abandon the strict paradigms of orthogonality and synchronism with relatively low performance degradation caused by intersymbol interference (ISI) and ICI. The first part addresses a pulse shaping method based on per-subcarrier filtering to reduce both OOB emission in the transmitter and adjacent channel interference (ACI) in the receiver. It can be implemented using window functions and some window formats are presented in this part. The first uses the existing cyclic prefix (CP) of OFDM symbols to smooth abrupt transitions of the signal, thus the large sinc spectral sidelobes caused by the rectangular filters. This guarantees backwards compatibility in systems using conventional cyclic prefixed OFDM (CP-OFDM). The second window format extends the CP length to retain the waveform ability to combat channel delay spread. The effects on performance of ISI and ICI are studied in terms of the signal to interference ratio (SIR) and bit error rate (BER) using LTE waveforms in a multi-user fragmented spectrum scenario. The second part of this work addresses the design and analysis of a filters for flexible spectral containment in subband-based filtering transceivers. This filter, called here semi-equiripple, exhibits better stopband attenuation to reduce the inter-subband interferences than equiripple and windowed truncated sinc filters and also has good impulse response characteristics to reduce ISI. The design is based on the Parks-McClellan algorithm to obtain different stopband decay rates and meet arbitrary spectrum emission masks (SEM) specifications with low in-band distortion. Therefore, it can be useful to achieve low OOB emission and configure subbands with independent parameters since the asynchronous interference is contained by the filters. Three ISI distortions in the filter are studied: symbol spreading related to the filter causality, symbol echoes due to in-band ripples, and ISI amplification due to outlier samples in the tails of its impulse response. The performance of the filter is assessed in terms of the power spectrum density (PSD) and compliance with tight SEMs, modulation error rate (MER) and operation in a multi-service asynchronous scheme using a single waveform. The SIR and the effect of filtering on the modulation accuracy are evaluated using OFDM ISDB-T and LTE waveforms. Flexible hardware structures are also proposed for actual implementations. The results show that these pulse shaping methods enable the waveform to exploit the available spectrum fragments and support multiple services without significant performance penalty, which can allow a more flexible air interfaceMestradoTelecomunicações e TelemáticaMestre em Engenharia ElétricaCAPE

Linear Phase FIR Low Pass Filter Design Based on Firefly Algorithm

In this paper, a linear phase Low Pass FIR filter is designed and proposed based on Firefly algorithm. We exploit the exploitation and exploration mechanism with a local search routine to improve the convergence and get higher speed computation. The optimum FIR filters are designed based on the Firefly method for which the finite word length is used to represent coefficients. Furthermore, Particle Swarm Optimization (PSO) and Differential Evolution algorithm (DE) will be used to show the solution. The results will be compared with PSO and DE methods. Firefly algorithm and Parks–McClellan (PM) algorithm are also compared in this paper thoroughly. The design goal is successfully achieved in all design examples using the Firefly algorithm. They are compared with that obtained by using the PSO and the DE algorithm. For the problem at hand, the simulation results show that the Firefly algorithm outperforms the PSO and DE methods in some of the presented design examples. It also performs well in a portion of the exhibited design examples particularly in speed and quality

Standards for data acquisition and software‐based analysis of in vivo electroencephalography recordings from animals. A TASK1‐WG5 report of the AES/ILAE Translational Task Force of the ILAE

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/139127/1/epi13909.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/139127/2/epi13909_am.pd

Design of quadrature mirror filter banks with canonical signed digit coefficients using genetic algorithms.

This thesis is about the use of a genetic algorithm to design QMF bank with canonical signed digit coefficients. A filter bank has applications in areas like video and audio coding, data communication, etc. Filter bank design is a multiobjective optimization problem. The performance depends on the reconstruction error of the overall filter bank and the individual performance of the composing lowpass filter. In this thesis we have used reconstruction error of the overall filter bank as our main objective and passband error, stopband error, stopband and passband ripples and transition width of the individual lowpass filter as constraints. Therefore filter bank design can be formulated as single objective multiple constraint optimization problem. A unique genetic algorithm is developed to optimize filer bank coefficients such that the corresponding system\u27s response matches that of an ideal system with an additional constraint that all coefficients are in canonical signed digit (CSD) format. A special restoration technique is used to restore the CSD format of the coefficients after crossover and mutation operators in Genetic algorithm. The proposed restoration technique maintains the specified word length and the maximum number of nonzero digits in filter banks coefficients. Experimental results are presented at the end. It is demonstrated that the designed genetic algorithm is reliable, and efficient for designing QMF banks.Dept. of Electrical and Computer Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2004 .U67. Source: Masters Abstracts International, Volume: 43-05, page: 1785. Thesis (M.A.Sc.)--University of Windsor (Canada), 2004

Computer-Aided Design of Switched-Capacitor Filters

This thesis describes a series of computer methods for the design of switched-capacitor filters. Current software is greatly restricted in the types of transfer function that can be designed and in the range of filter structures by which they can be implemented. To solve the former problem, several new filter approximation algorithms are derived from Newton's method, yielding the Remez algortithm as a special case (confirming its convergency properties). Amplitude responses with arbitrary passband shaping and stopband notch positions are computed. Points of a specified degree of tangency to attenuation boundaries (touch points) can be placed in the response, whereby a family of transfer functions between Butterworth and elliptic can be derived, offering a continuous trade-off in group delay and passive sensitivity properties. The approximation algorithms have also been applied to arbitrary group delay correction by all-pass functions. Touch points form a direct link to an iterative passive ladder design method, which bypasses the need for Hurwitz factorisation. The combination of iterative and classical synthesis methods is suggested as the best compromise between accuracy and speed. It is shown that passive ladder prototypes of a minimum-node form can be efficiently simulated by SC networks without additional op-amps. A special technique is introduced for canonic realisation of SC ladder networks from transfer functions with finite transmission at high frequency, solving instability and synthesis difficulties. SC ladder structures are further simplified by synthesising the zeros at +/-2fs which are introduced into the transfer function by bilinear transformation. They cause cancellation of feedthrough branches and yield simplified LDI-type SC filter structures, although based solely on the bilinear transform. Matrix methods are used to design the SC filter simulations. They are shown to be a very convenient and flexible vehicle for computer processing of the linear equations involved in analogue filter design. A wide variety of filter structures can be expressed in a unified form. Scaling and analysis can readily be performed on the system matrices with great efficiency. Finally, the techniques are assembled in a filter compiler for SC filters called PANDDA. The application of the above techniques to practical design problems is then examined. Exact correction of sinc(x), LDI termination error, pre-filter and local loop telephone line weightings are illustrated. An optimisation algorithm is described, which uses the arbitrary passband weighting to predistort the transfer function for response distortions. Compensation of finite amplifier gain-bandwidth and switch resistance effects in SC filters is demonstrated. Two commercial filter specifications which pose major difficulties for traditional design methods are chosen as examples to illustrate PANDDA's full capabilities. Significant reductions in order and total area are achieved. Finally, test results of several SC filters designed using PANDDA for a dual-channel speech-processing ASIC are presented. The speed with which high-quality, standard SC filters can be produced is thus proven

Digital quadrature demodulation of Doppler signals

Dissertação de mest., Engenharia Electrónica e Telecomunicações, Faculdade de Ciências e Tecnologia, Universidade do Algarve, 2009Ultrasound has for many years been an important tool in the detection and quantification of various health problems. In vascular diseases, for example, the ultrasound can be applied with different techniques such as Transit-Time Flow Measurements (TTFM) [36], Doppler [28][40][41][42] and elastography [37] [38]. Research has been developed focusing the signal processing of Doppler ultrasound signals. In an ongoing project, named Desarrollo de Sistemas Ultras´onicos y Computacionales para Diagn´ostico Cardiovascular (SUCoDiC), Doppler ultrasound signals are processed by an analog signal processing unit, in order to obtain the inphase (I) and quadrature (Q) components of the Doppler ultrasound signals, to allow directional blood flow separation. Problems associated with unbalanced channels’ gain of the employed analog system have been detected, resulting in an inapropriate directional blood flow separation. This thesis reports the research performed to eliminate such problems by substituting the analog system’s demodulator by digital signal processing approaches aiming at the achievement of the same goals, i.e., obtaining the Doppler ultrasound signal’s inphase (I) and quadrature (Q) components, for efficient directional blood flow separation. Five digital quadrature techniques have been studied to achieve such goal. Also, given technical constraints imposed by the nature of the Doppler ultrasound signals to be used, and limitations of the sampling rate of the Analog-to-Digital Converter (ADC) used, two strategies to acquire the Doppler ultrasound signals were studied. Such strategies involved the sampling of a downconversion version of the Doppler ultrasound signals (by application of the heterodyne function) and direct sampling of the Doppler ultrasound signals using uniform bandpass sampling. From the results obtained, three approaches are selected and proposed for real time implementation. Comparison between both signal sampling strategies employed are also presente