Measurement of Delta-Sigma Converter

Total Page:16

File Type:pdf, Size:1020Kb

Measurement of Delta-Sigma Converter FACULTY OF ENGINEERING AND SUSTAINABLE DEVELOPMENT . Measurement of Delta-Sigma Converter Liu Xiyang 06/2011 Bachelor’s Thesis in Electronics Bachelor’s Program in Electronics Examiner: Niclas Bjorsell Supervisor: Charles Nader 1 2 Liu Xiyang Measurement of Delta-Sigma Converter Acknowledgement Here, I would like to thank my supervisor Charles. Nader, who gave me lots of help and support. With his guidance, I could finish this thesis work. 1 Liu Xiyang Measurement of Delta-Sigma Converter Abstract With today’s technology, digital signal processing plays a major role. It is used widely in many applications. Many applications require high resolution in measured data to achieve a perfect digital processing technology. The key to achieve high resolution in digital processing systems is analog-to-digital converters. In the market, there are many types ADC for different systems. Delta-sigma converters has high resolution and expected speed because it’s special structure. The signal-to-noise-and-distortion (SINAD) and total harmonic distortion (THD) are two important parameters for delta-sigma converters. The paper will describe the theory of parameters and test method. Key words: Digital signal processing, ADC, delta-sigma converters, SINAD, THD. 2 Liu Xiyang Measurement of Delta-Sigma Converter Contents Acknowledgement................................................................................................................................... 1 Abstract ................................................................................................................................................... 2 1 Introduction ..................................................................................................................................... 1 1.1 Background: ............................................................................................................................ 1 1.2 Aim:......................................................................................................................................... 2 2 ADC Architectures.......................................................................................................................... 3 2.1 Integrating ADCs .................................................................................................................... 3 2.2 Flash ADCs ............................................................................................................................. 3 2.3 Pipelined and Subranging ADCs............................................................................................. 4 2.4 SAR ADCs .............................................................................................................................. 5 2.5 Delta-sigma ADC.................................................................................................................... 6 3 Delta-sigma ADC............................................................................................................................ 8 4 ADC parameters............................................................................................................................ 11 4.1 Total harmonic distortion (THD) .......................................................................................... 12 4.2 Signal-to-noise-and-distortion radio (SINAD)...................................................................... 13 5 ADC testing theory.........................................................................Error! Bookmark not defined. 5.1 Coherent sampling................................................................................................................. 14 5.2 Sine-wave fitting and testing method.................................................................................... 13 6 Device under test and software...................................................................................................... 16 7 Measurement methods and Evaluation.......................................................................................... 19 7.1 Data Collection and analysis ................................................................................................. 19 7.2 Parameters test function based on MATLAB ....................................................................... 20 8 Results ........................................................................................................................................... 21 9 Conclusions ................................................................................................................................... 23 10 References ................................................................................................................................... 1 11 Appendix A ................................................................................................................................. 2 3 Liu Xiyang Measurement of Delta-Sigma Converter 1 Introduction 1.1 Background As the development of multimedia technology and the third mobile communication, audio technology is used widely in our daily life. Every piece of multimedia we access on the Internet, every CD we play, every time we turn on the radio, listeners hope to have a high quality audio production. The modern communication systems are based on complicated signal processing techniques in the digital domain. The applications of digital signal processing are used widely in hi-fi audio, TV and radio, mobile phones, voice recognition and the systems which include communication and retrieval of information. Therefore, digital signal processing plays an importance role in the development of new generations of communication systems. In the real world, most signals are analog signal. The analog-to-digital conversion becomes the based part in digital signal processing. The development of Analog-to-Digital Converter (ADC) could move forward the system based on digital signal processing. So systems with good digital signal processing technology require a high resolution ADC. Nowadays, there are mainly two types ADC according to the ratio of sample frequency fs and signal bandwidth fbError! Reference source not found.: Nyquist-rate ADC and Over- sampling ADC. The digital signal is dispersed in amplitude and frequency. There are two important factors: resolution and speed for ADC. Different digital processing systems need different ADC architectures. The below Figure 1 shows the application of different types ADC[3]. In next chapter, the paper will describe the different architecture and its applications in detail. 1 Liu Xiyang Measurement of Delta-Sigma Converter Figure 1-ADC applications Therefore, it is very important to find a suitable ADC for audio applications. Nowadays, most audio measurement systems use Delta-Sigma converters for analog-to-digital conversion which is the key to improve the quality of digital audio systems. 1.2 Aim In this paper, the author wants to look for an ADC for audio applications. Describe different ADC´s architecture and applications. Then, this paper will investigate Delta-Sigma ADCs, then show how exactly each part of Delta-Sigma converter works in theory. Describe the definition and formula of Signal to Noise-And-Distortion and Total Harmonic Distortion which will be measured. Based on above theory knowledge, the paper will show a method for measurement the parameters: Signal to Noise-And-Distortion and Total Harmonic Distortion. 2 Liu Xiyang Measurement of Delta-Sigma Converter 2 ADC Architectures In the ADCs market, there are mainly five architectures. Because digital signal is dispersed in frequency and amplitude domain, there are two important factors for ADC: rate and resolution. When we choose a suitable architecture for a system, we should consider the rate and resolution of ADC. In follow sections, there are some description of five architectures. By the description, we choose Delta-Sigma converter as the best choice for audio systems. 2.1 Integrating ADCs Integrating ADCs have low speed, low cost and high resolution. The integrating architecture can avoid line frequency and noise. It converts a low bandwidth analog signal into its digital representation. An integrating ADC integrates the input signal with a digital counter. The output counter is related to the sample amplitude. Figure 2-1 shows how a dual-slope converter works [4]. The advantage is precision and nonlinearity issues because the reference voltage and sample voltage integration use the same circuit. However, such architecture has disadvantage that it need 2 N 1 clock pulses when it reaches to N-bit resolution. This type ADCs is typically applied in digital panel meters and digital multi-meters. Figure 2-1 Dual slope integrating ADC architecture [4] 2.2 Flash ADCs Flash ADCs are the fastest and most expensive converter. It uses a large number of comparator to achieve multibit conversion directly. Figure 2-2 shows a converter with N-bit resolution that has 2 N-1 comparators [3]. A change of input voltage will cause the output state 3 Liu Xiyang Measurement of Delta-Sigma Converter change in many comparators that produces a parallel N-bit output. The number of comparator is grown exponentially when the resolution is increased. The resolution of converter which is usually lower than 8 bits is limited by excessive input capacitance and power consumption because any mismatch can cause static errors [4]. This is applied in video area which need high speed conversion. Figure 2-2 Block schema of a flash ADC
Recommended publications
  • Design of Optimal Feedback Filters with Guaranteed Closed-Loop Stability for Oversampled Noise-Shaping Subband Quantizers
    49th IEEE Conference on Decision and Control December 15-17, 2010 Hilton Atlanta Hotel, Atlanta, GA, USA Design of Optimal Feedback Filters with Guaranteed Closed-Loop Stability for Oversampled Noise-Shaping Subband Quantizers SanderWahls HolgerBoche. Abstract—We consider the oversampled noise-shaping sub- T T T T ] ] ] ] band quantizer (ONSQ) with the quantization noise being q q v q,q v q,q + Quant- + + + + modeled as white noise. The problem at hand is to design an q - q izer q q - q q ,...,w ,...,w optimal feedback filter. Optimal feedback filters with regard 1 1 ,...,v ,...,v to the current standard model of the ONSQ inhabit several + q,1 q,1 w=[w + w=[w =[v =[v shortcomings: the stability of the feedback loop is not ensured - q q v v and the noise is considered independent of both the input and u ŋ u ŋ -1 -1 the feedback filter. Another previously unknown disadvantage, q z F(z) q q z F(z) q which we prove in our paper, is that optimal feedback filters in the standard model are never unique. The goal of this paper is (a) Real model: η is the qnt. error (b) Linearized model: η is white noise to show how these shortcomings can be overcome. The stability issue is addressed by showing that every feedback filter can be Figure 1: Noise-Shaping Quantizer “stabilized” in the sense that we can find another feedback filter which stabilizes the feedback loop and achieves a performance w v E (z) p 1 q,1 p R (z) equal (or arbitrarily close) to the original filter.
    [Show full text]
  • ESE 531: Digital Signal Processing
    ESE 531: Digital Signal Processing Lec 12: February 21st, 2017 Data Converters, Noise Shaping (con’t) Penn ESE 531 Spring 2017 - Khanna Lecture Outline ! Data Converters " Anti-aliasing " ADC " Quantization " Practical DAC ! Noise Shaping Penn ESE 531 Spring 2017 - Khanna 2 ADC Penn ESE 531 Spring 2017 - Khanna 3 Anti-Aliasing Filter with ADC Penn ESE 531 Spring 2017 - Khanna 4 Oversampled ADC Penn ESE 531 Spring 2017 - Khanna 5 Oversampled ADC Penn ESE 531 Spring 2017 - Khanna 6 Oversampled ADC Penn ESE 531 Spring 2017 - Khanna 7 Oversampled ADC Penn ESE 531 Spring 2017 - Khanna 8 Sampling and Quantization Penn ESE 531 Spring 2017 - Khanna 9 Sampling and Quantization Penn ESE 531 Spring 2017 - Khanna 10 Effect of Quantization Error on Signal ! Quantization error is a deterministic function of the signal " Consequently, the effect of quantization strongly depends on the signal itself ! Unless, we consider fairly trivial signals, a deterministic analysis is usually impractical " More common to look at errors from a statistical perspective " "Quantization noise” ! Two aspects " How much noise power (variance) does quantization add to our samples? " How is this noise distributed in frequency? Penn ESE 531 Spring 2017 - Khanna 11 Quantization Error ! Model quantization error as noise ! In that case: Penn ESE 531 Spring 2017 - Khanna 12 Ideal Quantizer ! Quantization step Δ ! Quantization error has sawtooth shape, ! Bounded by –Δ/2, +Δ/2 ! Ideally infinite input range and infinite number of quantization levels Penn ESE 568 Fall 2016 - Khanna adapted from Murmann EE315B, Stanford 13 Ideal B-bit Quantizer ! Practical quantizers have a limited input range and a finite set of output codes ! E.g.
    [Show full text]
  • All You Need to Know About SINAD Measurements Using the 2023
    applicationapplication notenote All you need to know about SINAD and its measurement using 2023 signal generators The 2023A, 2023B and 2025 can be supplied with an optional SINAD measuring capability. This article explains what SINAD measurements are, when they are used and how the SINAD option on 2023A, 2023B and 2025 performs this important task. www.ifrsys.com SINAD and its measurements using the 2023 What is SINAD? C-MESSAGE filter used in North America SINAD is a parameter which provides a quantitative Psophometric filter specified in ITU-T Recommendation measurement of the quality of an audio signal from a O.41, more commonly known from its original description as a communication device. For the purpose of this article the CCITT filter (also often referred to as a P53 filter) device is a radio receiver. The definition of SINAD is very simple A third type of filter is also sometimes used which is - its the ratio of the total signal power level (wanted Signal + unweighted (i.e. flat) over a broader bandwidth. Noise + Distortion or SND) to unwanted signal power (Noise + The telephony filter responses are tabulated in Figure 2. The Distortion or ND). It follows that the higher the figure the better differences in frequency response result in different SINAD the quality of the audio signal. The ratio is expressed as a values for the same signal. The C-MES signal uses a reference logarithmic value (in dB) from the formulae 10Log (SND/ND). frequency of 1 kHz while the CCITT filter uses a reference of Remember that this a power ratio, not a voltage ratio, so a 800 Hz, which results in the filter having "gain" at 1 kHz.
    [Show full text]
  • Smart Innovation, Systems and Technologies
    Smart Innovation, Systems and Technologies Volume 235 Series Editors Robert J. Howlett, Bournemouth University and KES International, Shoreham-by-Sea, UK Lakhmi C. Jain, KES International, Shoreham-by-Sea, UK The Smart Innovation, Systems and Technologies book series encompasses the topics of knowledge, intelligence, innovation and sustainability. The aim of the series is to make available a platform for the publication of books on all aspects of single and multi-disciplinary research on these themes in order to make the latest results available in a readily-accessible form. Volumes on interdisciplinary research combining two or more of these areas is particularly sought. The series covers systems and paradigms that employ knowledge and intelligence in a broad sense. Its scope is systems having embedded knowledge and intelligence, which may be applied to the solution of world problems in industry, the environment and the community. It also focusses on the knowledge-transfer methodologies and innovation strategies employed to make this happen effectively. The combination of intelligent systems tools and a broad range of applications introduces a need for a synergy of disciplines from science, technology, business and the humanities. The series will include conference proceedings, edited collections, monographs, hand- books, reference books, and other relevant types of book in areas of science and technology where smart systems and technologies can offer innovative solutions. High quality content is an essential feature for all book proposals accepted for the series. It is expected that editors of all accepted volumes will ensure that contributions are subjected to an appropriate level of reviewing process and adhere to KES quality principles.
    [Show full text]
  • Receiver Sensitivity and Equivalent Noise Bandwidth Receiver Sensitivity and Equivalent Noise Bandwidth
    11/08/2016 Receiver Sensitivity and Equivalent Noise Bandwidth Receiver Sensitivity and Equivalent Noise Bandwidth Parent Category: 2014 HFE By Dennis Layne Introduction Receivers often contain narrow bandpass hardware filters as well as narrow lowpass filters implemented in digital signal processing (DSP). The equivalent noise bandwidth (ENBW) is a way to understand the noise floor that is present in these filters. To predict the sensitivity of a receiver design it is critical to understand noise including ENBW. This paper will cover each of the building block characteristics used to calculate receiver sensitivity and then put them together to make the calculation. Receiver Sensitivity Receiver sensitivity is a measure of the ability of a receiver to demodulate and get information from a weak signal. We quantify sensitivity as the lowest signal power level from which we can get useful information. In an Analog FM system the standard figure of merit for usable information is SINAD, a ratio of demodulated audio signal to noise. In digital systems receive signal quality is measured by calculating the ratio of bits received that are wrong to the total number of bits received. This is called Bit Error Rate (BER). Most Land Mobile radio systems use one of these figures of merit to quantify sensitivity. To measure sensitivity, we apply a desired signal and reduce the signal power until the quality threshold is met. SINAD SINAD is a term used for the Signal to Noise and Distortion ratio and is a type of audio signal to noise ratio. In an analog FM system, demodulated audio signal to noise ratio is an indication of RF signal quality.
    [Show full text]
  • A Subjective Evaluation of Noise-Shaping Quantization for Adaptive
    332 IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 36, NO. 3, MARCH 1988 A Subjective Evaluation of Noise-S haping Quantization for Adaptive Intra-/Interframe DPCM Coding of Color Television Signals BERND GIROD, H AKAN ALMER, LEIF BENGTSSON, BJORN CHRISTENSSON, AND PETER WEISS Abstract-Nonuniform quantizers for just not visible reconstruction quantizers for just not visible eri-ors have been presented in errors in an adaptive intra-/interframe DPCM scheme for component- [12]-[I41 for the luminance and in [IS], [I61 for the color coded color television signals are presented, both for conventional DPCM difference signals. An investigation concerning the visibility and for noise-shaping DPCM. Noise feedback filters that minimize the of quantization errors for an adaiptive intra-/interframe lumi- visibility of reconstruction errors by spectral shaping are designed for Y, nance DPCM coder has been reported by Westerkamp [17]. R-Y, and B-Y. A closed-form description of the “masking function” is In this paper, we present quantization characteristics for the derived which leads to the one-parameter “6 quantizer” characteristic. luminance and the color dilference signals that lead to just not Subjective tests that were carried out to determine visibility thresholds for visible reconstruction errors in sin adaptive intra-/interframe reconstruction errors for conventional DPCM and for noise shaping DPCM scheme. These quantizers have been determined by DPCM show significant gains by noise shaping. For a transmission rate means of subjective tests. In order to evaluate the improve- of around 30 Mbitsls, reconstruction errors are almost always below the ments that can be achieved by reconstruction noise shaping visibility threshold if variable length encoding of the prediction error is [l 11, we compare the quantization characteristics for just not combined with noise shaping within a 3:l:l system.
    [Show full text]
  • Quantization Noise Shaping on Arbitrary Frame Expansions
    Hindawi Publishing Corporation EURASIP Journal on Applied Signal Processing Volume 2006, Article ID 53807, Pages 1–12 DOI 10.1155/ASP/2006/53807 Quantization Noise Shaping on Arbitrary Frame Expansions Petros T. Boufounos and Alan V. Oppenheim Digital Signal Processing Group, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Room 36-615, Cambridge, MA 02139, USA Received 2 October 2004; Revised 10 June 2005; Accepted 12 July 2005 Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling. This paper consid- ers quantization noise shaping for arbitrary finite frame expansions based on generalizing the view of first-order classical oversam- pled noise shaping as a compensation of the quantization error through projections. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our framework, the synthesis frame vectors are assumed given, and the computational complexity is in the initial determination of frame vector ordering, carried out off-line as part of the quantizer design. We consider the extension of the results to infinite shift-invariant frames and consider in particular filtering and oversampled filter banks. Copyright © 2006 P. T. Boufounos and A. V. Oppenheim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. INTRODUCTION coefficient through a projection onto the space defined by another synthesis frame vector. This requires only knowl- Quantization methods for frame expansions have received edge of the synthesis frame set and a prespecified order- considerable attention in the last few years.
    [Show full text]
  • Color Error Diffusion with Generalized Optimum Noise
    COLOR ERROR DIFFUSION WITH GENERALIZED OPTIMUM NOISE SHAPING Niranjan Damera-Venkata Brian L. Evans Halftoning and Image Pro cessing Group Emb edded Signal Pro cessing Lab oratory Hewlett-Packard Lab oratories Dept. of Electrical and Computer Engineering 1501 Page Mill Road The University of Texas at Austin Palo Alto, CA 94304 Austin, TX 78712-1084 E-mail: [email protected] E-mail: [email protected] In this pap er, we derive the optimum matrix-valued er- ABSTRACT ror lter using the matrix gain mo del [3 ] to mo del the noise We optimize the noise shaping b ehavior of color error dif- shaping b ehavior of color error di usion and a generalized fusion by designing an optimized error lter based on a linear spatially-invariant mo del not necessarily separable prop osed noise shaping mo del for color error di usion and for the human color vision. We also incorp orate the con- a generalized linear spatially-invariant mo del of the hu- straint that all of the RGB quantization error b e di used. man visual system. Our approach allows the error lter We show that the optimum error lter may be obtained to have matrix-valued co ecients and di use quantization as a solution to a matrix version of the Yule-Walker equa- error across channels in an opp onent color representation. tions. A gradient descent algorithm is prop osed to solve the Thus, the noise is shap ed into frequency regions of reduced generalized Yule-Walker equations. In the sp ecial case that human color sensitivity.
    [Show full text]
  • Noise Shaping
    INF4420 ΔΣ data converters Spring 2012 Jørgen Andreas Michaelsen ([email protected]) Outline Oversampling Noise shaping Circuit design issues Higher order noise shaping Introduction So far we have considered so called Nyquist data converters. Quantization noise is a fundamental limit. Improving the resolution of the converter, translates to increasing the number of quantization steps (bits). Requires better -1 N+1 component matching, AOL > β 2 , and N+1 -1 -1 GBW > fs ln 2 π β . Introduction ΔΣ modulator based data converters relies on oversampling and noise shaping to improve the resolution. Oversampling means that the data rate is increased to several times what is required by the Nyquist sampling theorem. Noise shaping means that the quantization noise is moved away from the signal band that we are interested in. Introduction We can make a high resolution data converter with few quantization steps! The most obvious trade-off is the increase in speed and more complex digital processing. However, this is a good fit for CMOS. We can apply this to both DACs and ADCs. Oversampling The total quantization noise depends only on the number of steps. Not the bandwidth. If we increase the sampling rate, the quantization noise will not increase and it will spread over a larger area. The power spectral density will decrease. Oversampling Take a regular ADC and run it at a much higher speed than twice the Nyquist frequency. Quantization noise is reduced because only a fraction remains in the signal bandwidth, fb. Oversampling Doubling the OSR improves SNR by 0.5 bit Increasing the resolution by oversampling is not practical.
    [Show full text]
  • Sonically Optimized Noise Shaping Techniques
    Sonically Optimized Noise Shaping Techniques Second edition Alexey Lukin [email protected] 2002 In this article we compare different commercially available noise shaping algo- rithms and introduce a new highly optimized frequency response curve for noise shap- ing filter implemented in our ExtraBit Mastering Processor. Contents INTRODUCTION ......................................................................................................................... 2 TESTED NOISE SHAPERS ......................................................................................................... 2 CRITERIONS OF COMPARISON............................................................................................... 3 RESULTS...................................................................................................................................... 4 NOISE STATISTICS & PERCEIVED LOUDNESS .............................................................................. 4 NOISE SPECTRUMS ..................................................................................................................... 5 No noise shaping (TPDF dithering)..................................................................................... 5 Cool Edit (C1 curve) ............................................................................................................5 Cool Edit (C3 curve) ............................................................................................................6 POW-R (pow-r1 mode)........................................................................................................
    [Show full text]
  • MT-004: the Good, the Bad, and the Ugly Aspects of ADC Input Noise-Is
    MT-004 TUTORIAL The Good, the Bad, and the Ugly Aspects of ADC Input Noise—Is No Noise Good Noise? by Walt Kester INTRODUCTION All analog-to-digital converters (ADCs) have a certain amount of "input-referred noise"— modeled as a noise source connected in series with the input of a noise-free ADC. Input-referred noise is not to be confused with quantization noise which only occurs when an ADC is processing an ac signal. In most cases, less input noise is better, however there are some instances where input noise can actually be helpful in achieving higher resolution. This probably doesn't make sense right now, so you will just have to read further into this tutorial to find out how SOME noise can be GOOD noise. INPUT-REFERRED NOISE (CODE TRANSITION NOISE) Practical ADCs deviate from ideal ADCs in many ways. Input-referred noise is certainly a departure from the ideal, and its effect on the overall ADC transfer function is shown in Figure 1. As the analog input voltage is increased, the "ideal" ADC (shown in Figure 1A) maintains a constant output code until the transition region is reached, at which point the output code instantly jumps to the next value and remains there until the next transition region is reached. A theoretically perfect ADC has zero "code transition" noise, and a transition region width equal to zero. A practical ADC has certain amount of code transition noise, and therefore a transition region width that depends on the amount of input-referred noise present (shown in Figure 1B).
    [Show full text]
  • Clock Jitter Effects on the Performance of ADC Devices
    Clock Jitter Effects on the Performance of ADC Devices Roberto J. Vega Luis Geraldo P. Meloni Universidade Estadual de Campinas - UNICAMP Universidade Estadual de Campinas - UNICAMP P.O. Box 05 - 13083-852 P.O. Box 05 - 13083-852 Campinas - SP - Brazil Campinas - SP - Brazil [email protected] [email protected] Karlo G. Lenzi Centro de Pesquisa e Desenvolvimento em Telecomunicac¸oes˜ - CPqD P.O. Box 05 - 13083-852 Campinas - SP - Brazil [email protected] Abstract— This paper aims to demonstrate the effect of jitter power near the full scale of the ADC, the noise power is on the performance of Analog-to-digital converters and how computed by all FFT bins except the DC bin value (it is it degrades the quality of the signal being sampled. If not common to exclude up to 8 bins after the DC zero-bin to carefully controlled, jitter effects on data acquisition may severely impacted the outcome of the sampling process. This analysis avoid any spectral leakage of the DC component). is of great importance for applications that demands a very This measure includes the effect of all types of noise, the good signal to noise ratio, such as high-performance wireless distortion and harmonics introduced by the converter. The rms standards, such as DTV, WiMAX and LTE. error is given by (1), as defined by IEEE standard [5], where Index Terms— ADC Performance, Jitter, Phase Noise, SNR. J is an exact integer multiple of fs=N: I. INTRODUCTION 1 s X = jX(k)j2 (1) With the advance of the technology and the migration of the rms N signal processing from analog to digital, the use of analog-to- k6=0;J;N−J digital converters (ADC) became essential.
    [Show full text]