Optimal Sharpening of Compensated Comb Decimation Filters: Analysis and Design

Comb filters are a class of low-complexity filters especially useful for multistage decimation processes. However, the magnitude response of comb filters presents a droop in the passband region and low stopband attenuation, which is undesirable in many applications. In this work, it is shown that, for stringent magnitude specifications, sharpening compensated comb filters requires a lower-degree sharpening polynomial compared to sharpening comb filters without compensation, resulting in a solution with lower computational complexity. Using a simple three-addition compensator and an optimization-based derivation of sharpening polynomials, we introduce an effective low-complexity filtering scheme. Design examples are presented in order to show the performance improvement in terms of passband distortion and selectivity compared to other methods based on the traditional Kaiser-Hamming sharpening and the Chebyshev sharpening techniques recently introduced in the literature

COEFFICIENT QUANTIZATION EFFECTS ON NEW FILTERS BASED ON CHEBYSHEV FOURTH-KIND POLYNOMIALS

The aim of this paper is to construct non-recursive filters, extensively used type of digital filters in digital signal processing applications, based on Chebyshev orthogonal polynomials. The paper proposes the use of the fourth-kind Chebyshev polynomials as functions in generating new filters. In this kind, low-pass filters with linear phase responses are obtained. Comprenhansive study of the frequency response characteristics of the generated filter functions is presented. The effects of coefficient quantization as one type of quantization that influences a filter characteristic are investigated here also. The quantized-coefficient errors are considered based on the number of bits and the implementation algorithm

Third order CMOS decimator design for sigma delta modulators

A third order Cascaded Integrated Comb (CIC) filter has been designed in 0.5μm n-well CMOS process to interface with a second order oversampling sigma-delta ADC modulator. The modulator was designed earlier in 0.5μm technology. The CIC filter is designed to operate with 0 to 5V supply voltages. The modulator is operated with ±2.5V supply voltage and a fixed oversampling ratio of 64. The CIC filter designed includes integrator, differentiator blocks and a dedicated clock divider circuit, which divides the input clock by 64. The CIC filter is designed to work with an ADC that operates at a maximum oversampling clock frequency of up to 25 MHz and with baseband signal bandwidth of up to 800 kHz. The design and performance of the CIC filter fabricated has been discussed

Back-end Design of the Readout System for Cryogenic Particle Detectors

Diese Arbeit widmet sich dem Design und der Entwicklung des digitalen Back-Ends (D-BE) für Raumtemperatur-Ausleseelektronik, die in kryogenen Quantendetektoren verwendet wird. Der Schwerpunkt liegt auf Anwendungen im Zusammenhang mit Experimenten zur Kosmischen Hintergrundstrahlung (CMB, im Englischen \textit{Cosmic Microwave Background radiation} genannt), jedoch ist die Technologie anpassbar für Partikeldetektionsexperimente. Zwei Schlüsselprojekte stehen im Mittelpunkt dieser Forschung: das QUBIC-Projekt zur Erkennung der B-Mode-Polarisation des CMB und das ECHo-Experiment, das darauf abzielt, eine neue Obergrenze für die Bestimmung der Neutrinomasse im Sub-eV-Bereich festzulegen. In diesen Projekten werden Übergangskanten-Sensoren (TES) und magnetische Mikrokalorimeter (MMCs) eingesetzt. Im Fall des QUBIC-Projekts werden die TES unter Verwendung von Zeitaufteilungsmultiplexing (TDM) gemultiplext. Es wurde jedoch ein Vorschlag für einen neuen Bolo\-meter-Typ namens Magnetischer Mikrobolometer (MMB) in der QUBIC-Kollaboration vorgestellt, der die Implementierung eines Frequenzaufteilungsmultiplexing (FDM)-Sys\-tems ermöglicht. Dies könnte durch die Verwendung eines Mikrowellen-Supraleiter-Quan\-teninterferenzgerät (SQUID)-Multiplexers ($\mu$MUX) erreicht werden, ähnlich wie bei den MMCs im ECHo-Experiment. Zur Erleichterung der Auslese der gemultiplexten Detektoren wird ein mehrtoniges Signal erzeugt, wobei jede Frequenztonkomponente einen $\mu$MUX-Kanal innerhalb des Kryostaten überwacht. Dieses Signal passiert dann einen rauscharmen Verstärker (LNA, im Englischen \textit{Low-Noise Amplifier} genannt), der in der Regel in der 4 K-Stufe liegt, bevor es das Hochfrequenz-Front-End (RF-FE) erreicht. Das RF-FE umfasst Hochfrequenzelektronik, die sowohl mit dem D-BE als auch mit der Elektronik im Kryostaten verbunden ist. Diese Arbeit stellt eine neuartige Anwendung des Goertzel-Filters zur Kanalisierung von mehrtonigen Signalen vor. Durch Simulationen, die mit einem in dieser Arbeit entwickelten auf Python basierenden Softwarepaket durchgeführt wurden, wurde die optimale Konfiguration für die Signalgenerierung und -erfassung in Bezug auf Rauschleistung, Abschirmung gegen Übersprechen und Systemlinearität ermittelt. Diese Arbeit zeigt, wie dieser Ansatz effizient in einem Field Programmable Gate Array (FPGA) implementiert werden kann, was die Skalierbarkeit bei der Auslese mehrerer Sensoren ermöglicht. Diese Skalierung is im Besonderen in Anwendungen wie Radioteleskopen für CMB-Messungen, kryogenen Kalorimetern für die Partikeldetektion und Quantencomputing entscheidend. Umfangreiche Validierungsexperimente zeigen, wie die Implementierung dieses Filtersatzes die Kanalisierung des mehrtonigen Eingangssignals zur Wiederherstellung der von den Detektoren aufgezeichneten Daten ermöglicht

Applications of MATLAB in Science and Engineering

The book consists of 24 chapters illustrating a wide range of areas where MATLAB tools are applied. These areas include mathematics, physics, chemistry and chemical engineering, mechanical engineering, biological (molecular biology) and medical sciences, communication and control systems, digital signal, image and video processing, system modeling and simulation. Many interesting problems have been included throughout the book, and its contents will be beneficial for students and professionals in wide areas of interest

An Introduction to Digital Signal Processing

An Introduction to Digital Signal Processing aims at undergraduate students who have basic knowledge in C programming, Circuit Theory, Systems and Simulations, and Spectral Analysis. The book is focused on basic concepts of digital signal processing, MATLAB simulation and implementation on selected DSP hardware in which the candidate is introduced to the basic concepts first before embarking to the practical part which comes in the later chapters. Initially Digital Signal Processing evolved as a postgraduate course which slowly filtered into the undergraduate curriculum as a simplified version of the latter. The goal was to study DSP concepts and to provide a foundation for further research where new and more efficient concepts and algorithms can be developed. Though this was very useful it did not arm the student with all the necessary tools that many industries using DSP technology would require to develop applications. This book is an attempt to bridge the gap. It is focused on basic concepts of digital signal processing, MATLAB simulation and implementation on selected DSP hardware. The objective is to win the student to use a variety of development tools to develop applications. Contents• Introduction to Digital Signal processing.• The transform domain analysis: the Discrete-Time Fourier Transform• The transform domain analysis: the Discrete Fourier Transform• The transform domain analysis: the z-transform• Review of Analogue Filter• Digital filter design.• Digital Signal Processing Implementation Issues• Digital Signal Processing Hardware and Software• Examples of DSK Filter Implementatio

An Introduction to Digital Signal Processing

An Introduction to Digital Signal Processing aims at undergraduate students who have basic knowledge in C programming, Circuit Theory, Systems and Simulations, and Spectral Analysis. The book is focused on basic concepts of digital signal processing, MATLAB simulation and implementation on selected DSP hardware in which the candidate is introduced to the basic concepts first before embarking to the practical part which comes in the later chapters. Initially Digital Signal Processing evolved as a postgraduate course which slowly filtered into the undergraduate curriculum as a simplified version of the latter. The goal was to study DSP concepts and to provide a foundation for further research where new and more efficient concepts and algorithms can be developed. Though this was very useful it did not arm the student with all the necessary tools that many industries using DSP technology would require to develop applications. This book is an attempt to bridge the gap. It is focused on basic concepts of digital signal processing, MATLAB simulation and implementation on selected DSP hardware. The objective is to win the student to use a variety of development tools to develop applications. Contents• Introduction to Digital Signal processing.• The transform domain analysis: the Discrete-Time Fourier Transform• The transform domain analysis: the Discrete Fourier Transform• The transform domain analysis: the z-transform• Review of Analogue Filter• Digital filter design.• Digital Signal Processing Implementation Issues• Digital Signal Processing Hardware and Software• Examples of DSK Filter Implementatio