Diseño hardware de la transformada wavelet discreta: un análisis de complejidad, precisión y frecuencia de operación

The purpose of this paper is to present a comparative analysis of hardware design of the Discrete Wavelet Transform (DWT) in terms of three design goals: accuracy, hardware cost and operating frequency. Every design should take into account the following facts: method (non-polyphase, polyphase and lifting), topology (multiplier-based and multiplierless-based), structure (conventional or pipelined), and quantization format (floatingpoint, fixed-point, CSD or integer). Since DWT is widely used in several applications (e.g. compression, filtering, coding, pattern recognition among others), selection of adequate parameters plays an important role in the performance of these systems.El propósito de este documento es presentar un análisis comparativo de esquemas hardware de la Transformada Wavelet Discreta, DWT, en términos de tres objetivos de diseño: precisión, complejidad y frecuencia de operación. Cada diseño debe considerar los siguientes aspectos: método (no polifásico, polifásico y lifting), topología (basados en multiplicadores y sin multiplicadores), estructura (convencional o pipeline) y formato de cuantización (punto flotante, punto fijo, CSD o entero). Dado que la DWT es ampliamente utilizada en diversas aplicaciones (por ejemplo en compresión, filtrado, codificación, reconocimiento de patrones, entre otras), la selección adecuada de parámetros de diseño desempeña un papel importante en el diseño de estos sistemas

The realization of signal processing methods and their hardware implementation over multi-carrier modulation using FPGA technology. Validation and implementation of multi-carrier modulation on FPGA, and signal processing of the channel estimation techniques and filter bank architectures for DWT using HDL coding for mobile and wireless applications.

First part of this thesis presents the design, validation, and implementation of an Orthogonal Frequency Division Multiplexing (OFDM) transmitter and receiver on a Cyclone II FPGA chip using DSP builder and Quartus II high level design tools. The resources in terms of logical elements (LE) including combinational functions and logic registers allocated by the model have been investigated and addressed. The result shows that implementing the basic OFDM transceiver allocates about 14% (equivalent to 6% at transmitter and 8% at receiver) of the available LE resources on an Altera Cyclone II EP2C35F672C6 FPGA chip, largely taken up by the FFT, IFFT and soft decision encoder. Secondly, a new wavelet-based OFDM system based on FDPP-DA based channel estimation is proposed as a reliable ECG Patient Monitoring System, a Personal Wireless telemedicine application. The system performance for different wavelet mothers has been investigated. The effects of AWGN and multipath Rayleigh fading channels have also been studied in the analysis. The performances of FDPP-DA and HDPP-DA-based channel estimations are compared based on both DFT-based OFDM and wavelet-based OFDM systems. The system model was studied using MATLAB software in which the average BER was addressed for randomized data. The main error differences that reflect the quality of the received ECG signals between the reconstructed and original ECG signals are established. Finally a DA-based architecture for 1-D iDWT/DWT based on an OFDM model is implemented for an ECG-PMS wireless telemedicine application. In the portable wireless body transmitter unit at the patient site, a fully Serial-DA-based scheme for iDWT is realized to support higher hardware utilization and lower power consumption; whereas a fully Parallel-DA-based scheme for DWT is applied at the base unit of the hospital site to support a higher throughput. It should be noted that the behavioural level of HDL models of the proposed system was developed and implemented to confirm its correctness in simulation. Then, after the simulation process the design models were synthesised and implemented for the target FPGA to confirm their validation

ReSCon '09, Research Student Conference: Book of Abstracts

The second SED Research Student Conference (ReSCon2009) was hosted over three days, 22-24 June 2009, in the Lecture Centre at Brunel University. The conference consisted of technical presentations, a poster session and social events. The abstracts and presentations were the result of ongoing research by postgraduate research students from the School of Engineering and Design at Brunel University. The conference is held annually, and ReSCon plays a key role in contributing to research and innovations within the School

MC-DS-CDMA System based on DWT and STBC in ITU Multipath Fading Channels Model

 في هذه الورقة، تم تحسين أداء النفوذ المتعدد بالتقسيم لرمز السلسلة المباشر متعدد الموجات (MC-DS-CDMA) في تطبيقات MC-DS-CDMA الثابتة والتطبيقات MC-DS-CDMA  المتنقلة باستعمال تعويضات التشفير الزمنية الفضائية وتحويل فورير السريعة المنفصلة (FFT) أو تحويل المويجات المنفصلة DWT. وقد تمت محاكاة أنظمة MC-DS-CDMA  باستخدام ماتلاب 2015a. من خلال محاكاة النظام المقترح، يمكن تغيير المعالم المختلفة واختبارها. ويتم الحصول على معدل خطأ البيانات (BER) لهذه الأنظمة على مدى واسع من نسبة الإشارة إلى الضوضاء. وقد قورنت جميع نتائج المحاكاة مع بعضها البعض باستخدام حجم الموجة الحاملة الفرعية المختلفة FFT أو DWT مع ل STBC 1،2،3 و 4 هوائيات في المرسل وفي مختلف قنوات الخبو في متعددة الممرات ITU ومختلف ترددات دوبلر (fd).In this paper, the performance of multicarrier direct sequence code division multiple access (MC-DS-CDMA) in fixed MC-DS-CDMA and Mobile MC-DS-CDMA applications have been improved by using the compensations of space time block coding and Discrete Fast Fourier transforms (FFT) or Discrete Wavelets transform DWT. These MC-DS-CDMA systems had been simulated using MATLAB 2015a. Through simulation of the proposed system, various parameters can be changed and tested. The Bit Error Rate (BERs) of these systems are obtained over wide range of signal to noise ratio. All simulation results had been compared with each other using different subcarrier size of FFT or DWT with STBC for 1,2,3 and 4 antennas in transmitter and under different ITU multipath fading channels and different Doppler frequencies (fd). The proposed structures of STBC-MC-DS-CDMA system based on (DWT) batter than based on (FFT) in varies Doppler frequencies and subcarrier size. Also, proposed system with STBC based on 4 transmitters better than other systems based on 1 or 2 or 3 transmitters in all Doppler frequencies and subcarrier size in all simulation results

Field programmable gate array implementation of multiwavelet transform based orthogonal frequency division multiplexing system

This article offers an efficient design and implementation of a discrete multiwavelet critical-sampling transform based orthogonal frequency division multiplexing (DMWCST-OFDM) transceiver using field programmable gate array (FPGA) platform. The design uses 16-point discrete multiwavelet critical-sampling transform (DMWCST) and its inverse as main processing modules. All modules were designed using a part of Vivado® Design Suite version (2015.2), which is Xilinx system generator (XSG), and is compatible with MATLAB Simulink version R2013b. The FPGA implementation is carried out on a Zynq (XC7Z020-1CLG484) evaluation board with joint test action group (JTAG) hardware co-simulation. According to the results obtained from the implementation tools, the implemented system is efficient in terms of resource utilization and could support the real-time operations

Wavelet Theory

The wavelet is a powerful mathematical tool that plays an important role in science and technology. This book looks at some of the most creative and popular applications of wavelets including biomedical signal processing, image processing, communication signal processing, Internet of Things (IoT), acoustical signal processing, financial market data analysis, energy and power management, and COVID-19 pandemic measurements and calculations. The editor’s personal interest is the application of wavelet transform to identify time domain changes on signals and corresponding frequency components and in improving power amplifier behavior