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函数发生器外文文献及翻译

函数发生器外文文献及翻译
函数发生器外文文献及翻译

外文文献1原文:

DDS devices to produce high-quality waveform: a simple, efficient and flexible

Summary

Direct digital frequency synthesis (DDS) technology for the generation and regulation of high-quality waveforms, widely used in medical, industrial, instrumentation, communications, defense and many other areas. This article will briefly describe the technology, on its strengths and weaknesses, examine some application examples, and also introduced some new products that contribute to the promotion

Introduction

A key requirement in many industries is an exact production, easy operation and quick change of different frequencies, different types of waveforms. Whether it is broadband transceiver requires low phase noise and excellent spurious-free dynamic performance of agile frequency source, or for industrial measurement and control system needs a stable frequency excitation, fast, easy and economical to produce adjustable waveform while maintaining phase continuity capabilities are critical to a design standard, which is what the advantages of direct digital frequency synthesis. Frequency synthesis task

The growing congestion of the spectrum, coupled with lower power consumption, quality of never-ending demand for higher measuring equipment, these factors require the use of the new frequency range, requires a better use of existing frequency range. A result, the search for better control, in most cases, by means of frequency synthesizer for frequency generation. These devices use a given frequency, fC of to generate a target frequency (and phase) fOUT the general relationship can be simply expressed as:

fOUT = εx× fC

Among them, the scale factor εx, sometimes known as the normalized frequency.

The equation is usually gradual approximation of the real number algorithms. When the scale factor is a rational number, two relatively prime numbers (output frequency and reference frequency) than the harmonic. However, in most cases, εx may belong to a broader set of real numbers, the approximation process is within the acceptable range will be truncated

Direct Digital Frequency Synthesizer

The frequency synthesizer a practical way to achieve is the direct digital frequency synthesis (of DDFS), usually referred to as direct digital synthesis (DDS). This technique using digital data processing to generate a frequency and phase adjustable output, the output anda fixed frequency reference clock source fC. related. DDS architecture, the reference or the system clock frequency divided by a scale factor to produce the desired frequency, the scale factor is controlled by the binary tuning word programmable.

In short, direct digital frequency synthesizer to convert a bunch of clock pulses into an analog waveform, usually a sine wave, triangle wave or square wave. Shown in Figure 1, its main parts: the phase accumulator (to produce the output waveform phase angle data), relative to digital converter, (above the phase data is converted to the instantaneous output amplitude data), and digital-to-analog converter (DAC) (the magnitude of data into a sampled analog data points)

F igure 1.DDS function of the system block diagram.

For the sine wave output, relative to digital converter is usually a sine lookup table (Figure 2). Phase accumulator unit count N a relative to the frequency of fC, according to the following equation:

The number of pulses of the fC:

M is the resolution of the tuning word (24-48)

N corresponds to the smallest increment of phase change of the phase accumulator output word

Figure 2. Typical DDS architecture and signal path (with DACs). Changing N will immediately change the output phase and frequency, so the system has its own continuous phase characteristics, which is one of the key attributes of many applications. No loop settling time, which is different from the analog system, such as phase-locked loops (PLLs). DAC is usually a high-performance circuit, designed specifically for the DDS core (phase accumulator and phase amplitude converter). In most cases, the results of the device (usually single-chip) is generally referred to as the pure DDS or the C-DDS.

Actual DDS devices are generally multiple registers, in order to achieve a different frequency and phase modulation scheme. Such as phase register, their storage phase of increase in the output phase of the phase accumulator. In this way, the corresponding delay output sine wave phase in a phase tuning word. This is useful for phase modulation applications for communication systems. The resolution of the adder circuit determines the number of bits of the phase tuning word,

therefore, also decided to delay the resolution.

Integrated in a single device on the engine of a DDS and a DAC has both advantages and disadvantages, however, whether integrated or not, need a DAC to produce ultra-high purity

high-quality analog signal. DAC will convert digital sinusoidal output to an analog sine wave may be single-ended or differential. Some of the key requirements for low phase noise, excellent wideband (WB) and narrowband (NB), spurious-free dynamic range (SFDR), and low power consumption. If the external device, the DAC must be fast enough to handle the signal, so the built-in parallel port device is very common.

DDS and other solutions

The frequency analog phase-locked loops (PLLs), clock generator, and the use of FPGA dynamic programming of the output of the DAC. By examining the spectrum of performance and power of these technologies, a simple comparison, Table 1 shows the qualitative results of the comparison Table 1.DDS with competing technologies - Advanced compare

Power consumption Spectral purity Remarks DDS Low Middle Ease of tuning

Discrete DAC+FPGA Middle Middle-High With tuning capabilities Analog PLL Milddle High Difficult tuning

Phase-locked loop is a feedback loop and its components: a phase comparator, a divider and a pressure-controlled oscillator (VCO), phase comparator reference frequency and output frequency (usually the output frequency is N)frequency) were compared. The error voltage generated by the phase comparator is used to adjust the VCO, thus the output frequency. When the loop is established, the output frequency and / or phase with the reference frequency to maintain a precise relationship. PLL has long been considered in a particular frequency range, high fidelity and consistent signal low phase noise and high spurious free dynamic range (SFDR) are ideal for applications.

PLL can not be precisely and quickly tuning the frequency output waveform, and the slow response, which limits their applicability for fast frequency hopping and part of the frequency shift keying and phase shift keying applications.

Other programs, including integrated DDS engine field programmable gate arrays (FPGAs) - a synthetic sine wave output with the off-the-shelf DAC - though the PLL frequency-hopping problem can be solved, but there own shortcomings. The defects of the major systems work and interface power requirements, high cost, large size, and system developers must also consider the additional software, hardware and memory. For example, using the DDS engine option in the modern FPGA to generate the 10 MHz output signal dynamic range is 60 dB up to 72 kB memory space. In addition, designers need to accept and be familiar with the subtle balance DDS core architecture. .

From a practical point of view (see Table 2), thanks to the rapid development of CMOS technology and modern digital design techniques, as well as the improvement of the DAC topology, DDS technology has been able to achieve unprecedented low power consumption in a wide range of applications, spectrum performance and cost levels. Although the pure DDS products in performance and design flexibility to achieve the level of high-end DAC technology and FPGA, but the advantages of DDS in terms of size, power consumption, cost and simplicity, making it the primary choice for many applications.

Table 2 Benchmark Analysis Summary - frequency generation technique (<50

MHz)

Phase -locked loop DAC + FPGA DDS Spectral performance High High Middle System power requirements High High Middle Digital frequency tuning No Yes Yes Tuning response time High Low Low Solution size Middle High Low Waveform flexibility Low Middle High Cost Middle High Low Design reuse Middle Low High Implementation complexity Middle High Low Also be noted that the DDS device for digital methods to produce the output waveform, it can simplify some of the architecture of the solution, or the waveform of digital programming to create the conditions. Usually with a sine wave to explain the functions and working principle of the DDS, but using modern DDS ICs can easily generate a triangle wave or square wave (clock) output, thereby eliminating the former case the lookup table, and the latter case the DAC the need to integrate a simple and accurate enough.

Performance and limitations of the DDS

Image and envelope: Sin (x) xx roll-off

The actual output of the DAC is not a continuous sine wave, but a series of pulses with a sinusoidal time envelope. The corresponding spectrum is a series of image and signal aliasing. Image along the sin (x) / x envelope distribution (see Figure 3 | margin | graph). The need for the filter to suppress frequencies outside the target band, but can not inhibit the high-level in the passband aliasing (for example, caused due to DAC non-linear)

The Nyquist criterion requires that each cycle requires at least two sampling points in order to rebuild the desired output waveform. The Mirroring response arising from sampling the output frequency K, CLOCK × OUT In this example, which CLOCK = 25 25 MHz and fOUT = 5 MHz, the first and second mirror frequency appear in (see Figure 3) fCLOCK × fOUT, o 20 MHz and 30 MHz. The third and fourth mirror frequency at 45 MHz and 55 MHz. Note, sin (x) / x value of zero at multiples of the sampling frequency. When fOUT greater than the Nyquist bandwidth (1/2 f CLOCK), the first mirror frequency will appear in the Nyquist bandwidth, the occurrence of aliasing (such as 15 MHz signal aliasing down to 10 MHz). Can not use the traditional quist

anti-aliasing filter to filter out aliasing mirror frequency from the output

Sin, in Figure 3.DDS, (x) / x roll-off.

In a typical DDS application, the use of a low-pass filter to suppress the mirror frequency response of the output spectrum. To make the low-pass filter cutoff frequency to remain at reasonable levels, and keep it simple filter design, a feasible approach is the use of an economic low-pass output filter bandwidth limited to about 40% of the frequency of clock.

Any given mirror frequency relative to the amplitude of the fundamental formula of sin (x) / x calculation. Because the function of the frequency roll-off, the basic output of the amplitude and the output frequency is inversely proportional to decrease; in the DDS system, reduce the amount of DC-Nyquist bandwidth range of -3.92 dB.

Significant reduction in frequency in the first mirror - the fundamental 3 dB range. In order to simplify the DDS application filtering, frequency plan must be formulated and analyzed to mirror the frequency and magnitude of the sin (x) / x response in the OUT and CLOCK target frequency spectrum requirements. Other unwanted frequencies in the output spectrum (such as integral and differential linearity error of the DAC, the surge of energy associated with the DAC and clock feed through noise) does not follow the sin (x) / x roll-off response. These unwanted frequencies will be harmonic and spurious energy in the output spectrum in many places - but its magnitude is generally far below the mirror frequency response. DDS devices to the general background noise, substrate noise, thermal noise effects, ground coupling and other signal source coupling factor cumulative portfolio decisions. DDS devices, the noise floor performance of stray and jitter by the circuit board layout, power quality, and - most importantly - Enter the profound impact of the quality of the reference clock.

Shake

The edge of the perfect clock source will be the precise time interval, the interval will never change. Of course, this is not possible; even the best oscillator is also the ideal components constitute, with noise and other defects. Quality and low phase noise crystal oscillator jitter picosecond, and is built up from one million the number of clock edge. The factors leading to jitter external interference, thermal noise, the oscillator circuit instability and power, ground and output connections bring, all these factors will interfere with the timing characteristics of the oscillator. In addition, the oscillator by the external magnetic field or electric field and the nearby transmitter RF interference. Oscillator circuit, a simple amplifier, inverter or buffer to signal additional jitter. Therefore, the choice of a low-jitter, and the edge of steep stable reference clock oscillator is critical. Higher frequency reference clock allows a larger sample, and divide to some extent, reduce the jitter, because the signal to divide a long time to produce the same amount of jitter, which can reduce the jitter on the signal percentage.

Noise - including the phase noise

The sampling system noise depends on many factors, the most important factor is the reference clock jitter, this jitter performance of phase noise on fundamental signal. In the DDS system, the register output of the truncated phase may bring the system error code. The binary word does not lead to the truncation error. But for non-binary word, phase noise truncation error in the spectrum spurious. Spurious frequency / amplitude depends on the code word. Quantification and linearity error of the DAC will be brought to the system harmonic noise. Time-domain error (such as owed to the red / overshoot and code errors) will increase the output signal distortion.

Application

DDS applications can be divided into two categories:

Require agile frequency source for data coding and modulation applications, communications and radar systems

Require measurement of the universal frequency synthesizer features and programmable tuning, scanning, and motivational skills, industrial and optical applications

Both cases, the trend toward higher spectral purity (low phase noise and higher spurious free dynamic range), also low power and small size requirements to accommodate the remote ordemand for battery-powered devices.

Modulation / data encoding, and synchronization of the DDS

DDS products first appeared on the radar and military applications and the development of some of its characteristics (performance improvements, cost and size, etc.) DDS technology is becoming more prevalent in the modulation and data encoding applications. This section will discuss the two data encoding scheme in the DDS system.

Binary frequency shift keying(BFSK, or referred to as FSK) one of the most simple form of data encoding.

The launch of the data is a continuous carrier frequency in two discrete frequency (binary one, ie, pass number, a binary 0, namely, the transformation between the space). Figure 4 shows the relationship between the data and transmit signals.

Figure 4 binary FSK modulation.

Binary 1 and 0 for two different frequencies f0 and f1, respectively. This encoding scheme can be easily DDS device. On behalf of the output frequency of the DDS frequency tuning word change to f0 and f1, will launch the 1 and 0. To transform the output frequency shall dedicated pin FSELECT, containing the appropriate tuning word registers (see Figure 5)

Figure 5. AD9834 or AD9838 DDS tuning word selector realization of the FSK

encoding.

Phase shift keying (PSK) is a simple form of data encoding. In PSK, the carrier frequency

remains the same, by changing the phase of the transmitted signal to transmit information. Can take advantage of a variety of programs to achieve PSK,. The easiest way is often referred to as binary PSK (BPSK), using only two signal phase: 0 ° (logic 1) and 180 ° (logic 0). Members state depends on the status of the former one. If the wave phase remains unchanged, the signal state will remain the same (low or high). Wave phase change 180 °, ie, phase inversion, the signal state will change (low into high or high to low). PSK coding in DDS products can be easily achieved, because most devices have a separate input register (phase register), and phase values can be loaded. This value is added directly to the carrier phase, without changing its frequency. Change the contents of the register will be modulated carrier phase, resulting in a PSK output. For applications that require high-speed modulation, built-in phase register of the AD9834 and

AD9838 allow PSELECT pin signal transformation, according to need modulated carrier in the preloaded phase registers.

The more complex the PSK four or eight-wave phase. Thus, whenever the phase change of binary data transfer rate will be higher than the BPSK modulation. In the four-phase modulation (Quadrature PSK), in the phase angle of 0 ° to +90 °, -90 ° and +180 °; each phase to transform the two signals may represent a factor AD9830, AD9831, AD9832, and the AD9835 provides four phase registers, can be continuously updated register of different phase shift, the complex phase modulation scheme.

The use of synchronous mode of multiple DDS devices to achieve the I / Q Multiple DDS components to achieve the many applications of the I / Q sine wave or square wave signal of known phase relationship between two or more synchronous mode. A common example is the same phase and quadrature modulation (I / Q) in this technique, the phase angle of 0 ° and 90 ° from the carrier frequency signal information. To run two separate DDS components, you can use the same source clock to output can directly control and manipulate the signal of the phase relationship. In Figure 6, with a reference clock on the AD9838 device programming; the RESET pin is used to update the two devices. In this way, you can achieve a simple I / Q modulation RESET after power and initialized before any data to the DDS transmission. DDS output results can be placed in a known phase, making it a common reference point of view, in order to synchronize multiple DDS devices. When new data is sent to multiple DDS devices, the DDS can remain relevant phase relationship, or by the phase offset register can predict the relative phase shift between the adjustments of multiple DDS. The AD983x series of DDS products have a 12 phase resolution, the effective resolution of 0.1 °.

Figure 6. Synchronize the two DDS components.

Author: Brendan Cronin[brendan.cronin @ https://www.doczj.com/doc/9e16367309.html,]ADI core products and

technologies (CPT), a product marketing engineer. Brendan joined the ADI, in 1998 and worked for six years in the industrial and automotive products sector, as mixed-signal design engineers. Brendan is currently the main linear and related technologies.

外文文献1翻译:

DDS器件产生高质量波形:简单、高效而灵活

摘要

直接数字频率合成(DDS)技术用于产生和调节高质量波形,广泛用于医学、工业、仪器仪表、通信、国防等众多领域。本文将简要介绍该技术,说明其优势和不足,考察一些应用示例,同时介绍一些有助于该技术推广的新产品。

简介

许多行业中一个关键的需求是精确产生、轻松操作并快速更改不同频率、不同类型的波形。无论是宽带收发器要求具有低相位噪声和出色的无杂散动态性能的捷变频率源,还是工业测量和控制系统需要稳定的频率激励,快速、轻松、经济地产生可调波形并同时维持相位连续性的能力都是至关重要的一项设计标准,而这正是直接数字频率合成技术的优势所在。频率合成的任务。

不断增多的频谱拥堵,加上对功耗更低、质量更高的测量设备的永无止境的需求,这些因素都要求使用新的频率范围,要求更好地利用现有频率范围。结果,人们寻求对频率产生进行更好的控制,多数情况下,均是借助于频率合成器. 这些器件利用一个给定频率,fC来产生一个相关的目标频率(和相位)fOUT. 其一般关系可以简单地表示为:

fOUT = εx× fC

其中,比例因子εx, 有时也被称为归一化频率.

该等式通常利用实数逐步逼近的算法实现。当比例因子为有理数时,两个相对质数(输出频率和基准频率)之比将谐波相关。但在多数情况下,εx可能属于更广泛的实数集,逼近过程一旦处于可接受的范围之内即会被截断。

直接数字频率合成

频率合成器的一种实用型实现方式是直接数字频率合成 (DDFS), 通常简称为直接数字合成 (DDS). 这种技术利用数字数据处理来产生一个频率和相位可调的输出,该输出与一个固定的频率参考或时钟源fC.相关。在DDS架构中,参考或系统时钟频率由一个比例因子分频来产生所需频率,该比例因子由二进制调谐字可编程控制。

简言之,直接数字频率合成器将一串时钟脉冲转换成一个模拟波形,通常为一个正弦波、三角波或方波。如图1所示,其主要部分为:相位累加器(产生输出波形相位角度的数据),相数转换器,(将上述相位数据转换为瞬时输出幅度数据),以及数模转换器(DAC)(将该幅度数据转换成采样模拟数据点)。

图1.DDS系统的功能框图

对于正弦波输出,相数转换器通常为一个正弦查找表(图2)。相位累加器以N为单位计数,并根据以下等式产生一个相对于fC的频率:

其中:

M为调谐字的分辨率(24至48位)

N为对应于相位累加器输出字最小增量相位变化的fC的脉冲数

图2.典型的DDS架构和信号路径(带DAC)

由于更改N会立即改变输出相位和频率,因此,系统自身具有相位连续,特点,这是许多应用的关键属性之一。无需环路建立时间,这与模拟系统不同,如锁相环(PLL)。DAC通常为一个高性能电路,专门针对DDS内核(相位累加器和相幅转换器)而设计。多数情况下,这样结果形成的器件(通常为单芯片)一般称为纯DDS或C-DDS。

实际的DDS器件一般集成多个寄存器,以实现不同的频率和相位调制方案。如相位寄存器,其存储的相位内容被加在相位累加器的输出相位上。这样,可以对应于一个相位调谐字延迟输出正弦波的相位。对于通信系统相位调制应用,这非常有用。加法器电路的分辨率决定着相位调谐字的位数,因此,也决定着延迟的分辨率。

在单个器件上集成一个DDS引擎和一个DAC既有优点也有缺点,但是,无论集成与否,都需要一个DAC来产生纯度超高的高品质模拟信号。DAC将数字正弦输出转换为一个模拟正弦波,可能是单端,也可能是差分。一些关键要求是低相位噪声、优秀的宽带(WB)和窄带(NB)无杂散动态范围(SFDR)以及低功耗。如果是外部器件,则DAC必须足够快以处理信号,因此,内置并行端口的器件非常常见。

DDS与其他解决方案

其他产生频率的方法包括模拟锁相环(PLL),时钟发生器和利用FPGA对DAC的输出进行动态编程。通过考察频谱性能和功耗,可以对这些技术进行简单的比较,表1以定性方式展示了比较结果。

表1.DDS与竞争技术——高级比较

功耗频谱纯度备注

DDS 低中易于调谐

分立式DAC + FPGA 中中-高具有调谐能力

模拟PLL 中高难以调谐

锁相环是一种反馈环路,其组成部分为:一个相位比较器, 一个除法器和一个压控制振荡器(VCO). 相位比较器将基准频率与输出频率(通常是输出频率的N)分频)进行比较。相位比较器产生的误差电压用于调节VCO,从而输出频率。当环路建立后,输出将在频率和/或相位上与参考频率保持一种精确的关系。PLL长期以来一直被认为是在特定频带范围内要求高保真度和稳定信号的低相位噪声和高无杂散动态范围(SFDR) 应用的理想选择。

由于PLL无法精确、快速地调谐频率输出和波形,而且响应较慢,这限制了它们对于快速跳频和部分频移键控和相移键控应用的适用性。

其他方案,包括集成DDS引擎的现场可编程门阵列(FPGAs) ——配合现成DAC以合成输出正弦波——虽然可以解决PLL的跳频问题,但也存在自身的缺陷。主要系统缺陷包括较高的工作和接口功耗要求、成本较高、尺寸较大,而且系统开发人员还须考虑额外的软件、硬件和存储器问题。例如,利用现代FPGA中的DDS引擎选项,要产生动态范围为60 dB的10 MHz输出信号,需要多达72 kB的存储器空间。另外,设计师需要接受并熟悉细微权衡和DDS内核的架构。

从实用角度来看(见表2),得益于CMOS工艺和现代数字设计技术的快速发展以及DAC 拓扑结构的改进,DDS技术已经能在广泛的应用中实现前所未有的低功耗、频谱性能和成本水平。虽然纯DDS产品不可能在性能和设计灵活性上达到高端DAC技术与FPGA相结合的水平,但DDS在尺寸、功耗、成本和简单性方面的优势使其成为许多应用的首要选择。

表2.基准分析小结——频率产生技术(<50 MHz)

锁相环DAC + FPGA DD S

频谱性能高高中

系统功耗要求高高低

数字频率调谐无是是

调谐响应时间高低低

解决方案尺寸中高低

波形灵活性低中高

成本中高低

设计重用中低高

实现复杂度中高低

同时需要指出,由于DDS器件从根本上来说是用数字方法产生输出波形,因此它可以简化一些解决方案的架构,或者为对波形进行数字化编程创造条件。尽管通常利用正弦波来解释DDS的功能和工作原理,但利用现代DDS IC也可以轻松产生三角波或方波(时钟)输出,由此消除了前一种情况的查找表以及后一种情况的DAC的必要性,因为集成一个简单而精确的比较器就够了。

DDS的性能与限制

图像和包络:Sin(x)xx滚降

DAC的实际输出不是连续的正弦波,而是带有正弦时间包络的一系列脉冲。对应的频谱是一系列图像和混叠信号。图像沿sin(x)/x 包络分布(见图3中的|幅度|曲线图)。有必要进行滤波,以抑制目标频带之外的频率,但是不能抑制通带中出现的高阶混叠(例如,因DAC 非线性所致)。

奈奎斯特准则要求,每个周期至少需要两个采样点才能重建所需输出波形。镜像响应产生于采样输出频率中K fCLOCK ×fOUT. 在本例中,其中fCLOCK = 25 25 MHz且fOUT = 5 MHz,第一和第二镜频出现在(见图3)fCLOCK ×fOUT, o即20 MHz和30 MHz。第三和第四镜频出现在45 MHz和55 MHz。注意,sin(x)/x零值出现在采样频率的倍数处。当fOUT 大于奈奎斯特带宽(1/2 fCLOCK), 时,第一镜频将出现于奈奎斯特带宽之内,发生混叠(例如,15 MHz的信号将向下混叠至10 MHz)。无法用传统的奈奎斯特抗混叠滤波器从输出中滤掉混叠镜频。

图3.DDS中的Sin(x)/x滚降

在典型的DDS应用中,利用一个低通滤波器来抑制输出频谱中镜频响应的影响。为了使低通滤波器的截止频率要求保持于合理水平,并使滤波器设计保持简单,一种可行的做法是利用一个经济的低通输出滤波器将fOUT 带宽限制在fCLOCK频率的40%左右。

任何给定镜频相对于基波的幅度可用sin(x)/x公式来计算。由于该函数随频率滚降,因此基本输出的幅度将与输出频率成反比而降低;在DDS系统中,降低量为DC-奈奎斯特带宽范围的–3.92 dB。

第一镜频的幅度较大——基波的3 dB范围内。为了简化DDS应用的滤波要求,必须制定频率计划,并分析镜频和sin(x)/x幅度响应在fOUT和fCLOCK目标频率下的频谱要求。输出频谱中的其他不需要的频率(如DAC的积分和微分线性误差、与DAC相关的突波能量和时钟馈通噪声)不会遵循sin(x)/x滚降响应。这些不需要的频率将以谐波和杂散能量出现在输出频谱中的许多地方——但其幅度一般会远远低于镜频响应。DDS器件的一般本底噪声由基板噪声、热噪声效应、接地耦合和其他信号源耦合等因素累积组合决定。DDS器件的本底噪声、性能杂散和抖动受到电路板布局、电源质量以及——最重要的是——输入参考时钟。

抖动

完美时钟源的边沿将以精确的时间间隔发生,而该间隔永远都不会变化。当然,这是不可能的;即使最好的振荡器也是由不理想的元件构成,具有噪声等缺陷。优质的低相位噪声晶体振荡器的抖动为皮秒级,而且是从数百万个时钟边沿累积起来的。导致抖动的因素有热噪声、振荡器电路不稳定以及电源、接地和输出连接等带来的外部干扰等,所有这些因素都

会干扰振荡器的时序特性。另外,振荡器受外部磁场或电场以及附近发射器的射频干扰的影响。振荡器电路中,一个简单的放大器、反相器或缓冲器也都会给信号带来额外的抖动。

因此,选择一个抖动低、边沿陡的稳定的参考时钟振荡器是至关重要的。较高频率的基准时钟允许较大的过采样,而且,通过分频可以在一定程度上减轻抖动,因为对信号进行分频将在更长时期产生相同量的抖动,因而可以降低信号上的抖动的百分比。

质量的深刻影响。

噪声——包括相位噪声

采样系统的噪声取决于诸多因素,首要因素是参考时钟抖动,这种抖动表现为基波信号上的相位噪声。在DDS系统中,截断相位寄存器输出可能带来因代码而异的系统误差。二进制字不会导致截断误差。但对于非二进制字,相位噪声截断误差会在频谱中产生杂散。杂散的频率/幅度取决于代码字。DAC的量化和线性误差也会给系统带来谐波噪声。时域误差(如欠冲/过冲和代码错误)都会加重输出信号的失真。

应用

DDS应用可以分为两大类:

1、要求捷变频率源以进行数据编码和调制应用的通信和雷达系统

2、要求通用频率合成功能以及可编程调谐、扫描和激励能力的测量、工业和光学应用

两种情况下,都出现了一种走向更高频谱纯度(更低的相位噪声和更高的无杂散动态范围)的趋势,同时还存在低功耗和小尺寸的要求,以适应远程或电池供电设备的需求。

调制/数据编码和同步中的DDS

DDS产品首先出现于雷达和军事应用之中,其部分特性的发展(性能的提升、成本和尺寸等)已使DDS技术在调制和数据编码应用中日渐盛行。本节将讨论两种数据编码方案及其在DDS系统中的实现方式。

二进制频移键控 (BFSK,或简称FSK) 最简单的数据编码形式之一

数据的发射方式是使一个连续载波的频率在两个离散频率(一为二进制1,即传号,一为二进制0,即空号)之间变换。图4所示为数据和发射信号之间的关系。

图4.二进制FSK调制

二进制1和0表示为两个不同的频率,分别为f0和f1。这种编码方案可以轻松在DDS器件中实现。代表输出频率的DDS频率调谐字被改变,以从将发射的1和0产生f0和f1。要变换输出频率,则须用专用的引脚FSELECT选择含有相应调谐字的寄存器(见图5)。

图5.利用AD9834或AD9838 DDS的调谐字选择器实现FSK编码

相移键控(PSK) 是另一种简单的数据编码形式。在PSK中,载波的频率保持不变,通过改变发射信号的相位来传递信息。可以利用多种方案来实现PSK。最简单的方法通常称为二进制PSK(即BPSK),只采用两个信号相位:0°(逻辑1)和180°(逻辑0)。各位的状态取决于前一位的状态。如果波的相位不变,则信号状态将保持不变(低或高)。如果波的相位改变180°,即相位反转,则信号状态将改变(低变为高,或高变为低)。PSK编码可以轻松在DDS产品中实现,因为多数器件都有一个独立的输入寄存器(相位寄存器),可以加载相位值。该值被直接添加到载波的相位,而不改变其频率。更改该寄存器的内容将调制载波的相位,结果产生一个PSK输出。对于要求高速调制的应用,内置相位寄存器对的AD9834和AD9838允许其PSELECT引脚上的信号在预加载的相位寄存器之间变换,以根据需要调制载波。

更复杂的PSK采用四个或八个波相位。这样,每当相位发生变化时,二进制数据的传输速率将高于BPSK调制。在四相位调制(正交PSK),中,可能的相位角度为0°, +90°, ?90°, 和+180°;每次相位变换可能代表两个信号因子AD9830, AD9831, AD9832, 和AD9835 提供四个相位寄存器,通过连续更新寄存器的不同相位偏移,可以实现复杂的相位调制方案.。

以同步模式利用多个DDS元件实现I/Q功能

许多应用要求产生两个或两个以上具有已知相位关系的正弦波或方波信号。一个常见的例子是同相和正交调制(I/Q),在这种技术中,在0°和90°相位角度从载波频率获得信号信息。可以用相同的源时钟来运行两个单独的DDS元件,以输出可以直接控制和操作其相位关系的信号。在图6中,用一个基准时钟对AD9838器件编程;相同的RESET引脚用于更新两个器件。这样,可以实现简单的I/Q调制。

RESET必须在上电后以及向DDS传输任何数据之前初始化。结果可将DDS输出置于已知相位,使其成为共同的参考角度,以便同步多个DDS器件。当新数据被同时送至多个DDS 器件时,DDS之间可以保持相关相位关系,或者通过相位偏移寄存器可以预测性调整多个DDS之间的相对相位偏移。AD983x系列DDS产品拥有12位相位分辨率,有效分辨率为0.1°。

图6.同步两个DDS元件

作者:Brendan Cronin[brendan.cronin@https://www.doczj.com/doc/9e16367309.html,]是ADI核心产品和技术(CPT)

部门的一位产品营销工程师。Brendan于1998年加盟ADI,在工业和汽车产品部门工作了六年,担任混合信号设计工程师。Brendan目前主要研究线性和相关技术。

外文文献原文2:

Ask The Application Engineer—33

All About Direct Digital Synthesis

By Eva Murphy, (eva.murphy@https://www.doczj.com/doc/9e16367309.html,)

Colm Slattery (colm.slattery@https://www.doczj.com/doc/9e16367309.html,)

By Analog Dialogue V olume 38 Number 3 of ADI

What is Direct Digital Synthesis?

Direct digital synthesis (DDS) is a method of producing an analog waveform—usually a sine wave—by generating a time-varying signal in digital form and then performing a digital-to-analog conversion. Because operations within a DDS device are primarily digital, it can offer fast switching between output frequencies, fine frequency resolution, and operation over a broad spectrum of frequencies. With advances in design and process technology, today’s DDS devices are very compact and draw little power.

Why would one use a direct digital synthesizer (DDS)? Aren’t there other methods for easily generating frequencies?

The ability to accurately produce and control waveforms of various frequencies and profiles has become a key requirement common to a number of industries. Whether providing agile sources of low-phase-noise variable-frequencies with good spurious performance for communications, or simply generating a frequency stimulus in industrial or biomedical test equipment applications,

convenience, compactness, and low cost are important design considerations.

Many possibilities for frequency generation are open to a designer, ranging from

phase-locked-loop (PLL)-based techniques for very high-frequency synthesis, to dynamic programming of digital-to-analog converter (DAC) outputs to generate arbitrary waveforms at lower frequencies. But the DDS technique is rapidly gaining acceptance for solving frequency- (or waveform) generation requirements in both communications and industrial applications because single-chip IC devices can generate programmable analog output waveforms simply and with high resolution and accuracy.

Furthermore, the continual improvements in both process technology and design have resulted in cost and power consumption levels that were previously unthinkably low. For example, the

AD9833, a DDS-based programmable waveform generator (Figure 1), operating at 5.5 V with a 25-MHz clock, consumes a maximum power of 30 milliwatts.

Figure 1. The AD9833—a one-chip waveform generator.

What are the main benefits of using a DDS?

DDS devices like the AD9833 are programmed through a high speed serial peripheral-interface (SPI), and need only an external clock to generate simple sine waves. DDS devices are now available that can generate frequencies from less than 1 Hz up to 400 MHz (based on a 1-GHz clock). The benefits of their low power, low cost, and single small package, combined with their inherent excellent performance and the ability to digitally program (and reprogram) the output waveform, make DDS devices an extremely attractive solution—preferable to less-flexible solutions comprising aggregations of discrete elements.

What kind of outputs can I generate with a typical DDS device?

DDS devices are not limited to purely sinusoidal outputs. Figure 2 shows the square-, triangular-, and sinusoidal outputs available from an AD9833.

Figure 2. Square-, triangular-, and sinusoidal outputs from a DDS.

How does a DDS device create a sine wave?

Here’s a breakdown of the internal circuitry of a DDS device: its main components are a phase accumulator, a means of phase-to-amplitude conversion (often a sine look-up table), and a DAC. These blocks are represented in Figure 3.

Figure 3. Components of a direct digital synthesizer.

A DDS produces a sine wave at a given frequency. The frequency depends on two variables, the reference-clock frequency and the binary number programmed into the frequency register (tuning word).

The binary number in the frequency register provides the main input to the phase accumulator. If a sine look-up table is used, the phase accumulator computes a phase (angle) address for the look-up table, which outputs the digital value of amplitude—corresponding to the sine of that phase angle—to the DAC. The DAC, in turn, converts that number to a corresponding value of analog voltage or current. To generate a fixed-frequency sine wave, a constant value (the phase increment—which is determined by the binary number) is added to the phase accumulator with each clock cycle. If the phase increment is large, the phase accumulator will step quickly through the sine look-up table and thus generate a high frequency sine wave. If the phase increment is

small, the phase accumulator will take many more steps, accordingly generating a slower waveform.

Let’s talk some more about the phase accumulator. How does it work? Continuous-time sinusoidal signals have a repetitive angular phase range of 0 to 2π. The digital implementation is no different. The counter’s carry function allows the phase accu mulator to act as a phase wheel in the DDS implementation.

To understand this basic function, visualize the sine-wave oscillation as a vector rotating around a phase circle (see Figure 4). Each designated point on the phase wheel corresponds to the equivalent point on a cycle of a sine wave. As the vector rotates around the wheel, visualize that the sine of the angle generates a corresponding output sine wave. One revolution of the vector around the phase wheel, at a constant speed, results in one complete cycle of the output sine wave. The phase accumulator provides the equally spaced angular values accompanying the vector’s linear rotation around the phase wheel. The contents of the phase accumulator correspond to the points on the cycle of the output sine wave.

Figure 4. Digital phase wheel.

The phase accumulator is actually a modulo-M counter that increments its stored number each time it receives a clock pulse. The magnitude of the increment is determined by the binary-coded input word (M). This word forms the phase step size between reference-clock updates; it effectively sets how many points to skip around the phase wheel. The larger the jump size, the faster the phase accumulator overflows and completes its equivalent of a sine-wave cycle. The number of discrete phase points contained in the wheel is determined by the resolution of the phase accumulator (n), which determines the tuning resolution of the DDS. For an n = 28-bit phase accumulator, an M value of 0000...0001 would result in the phase accumulator overflowing after 228 reference-clock cycles (increments). If the M value is changed to 0111...1111, the phase accumulator will overflow after only 2 reference-clock cycles (the minimum required by Nyquist). This relationship is found in the basic tuning equation for DDS architecture:

where:

f OUT = output frequency of the DDS

M = binary tuning word

f C = internal reference clock frequency (system clock)

n = length of the phase accumulator, in bits

Changes to the value of M result in immediate and phase-continuous changes in the output frequency. No loop settling time is incurred as in the case of a phase-locked loop.

As the output frequency is increased, the number of samples per cycle decreases. Since sampling theory dictates that at least two samples per cycle are required to reconstruct the output waveform, the maximum fundamental output frequency of a DDS is f C/2. However, for practical applications, the output frequency is limited to somewhat less than that, improving the quality of the reconstructed waveform and permitting filtering on the output.

When generating a constant frequency, the output of the phase accumulator increases linearly, so the analog waveform it generates is inherently a ramp.

Then how is that linear output translated into a sine wave?

A phase-to-amplitude lookup table is used to convert the phase-a ccumulator’s instantaneous output value (28 bits for AD9833)—with unneeded less-significant bits eliminated by truncation—into the sine-wave amplitude information that is presented to the (10-bit) D/A converter. The DDS architecture exploits the symmetrical nature of a sine wave and utilizes mapping logic to synthesize a complete sine wave from one-quarter-cycle of data from the phase accumulator. The phase-to- amplitude lookup table generates the remaining data by reading forward then back through the lookup table. This is shown pictorially in Figure 5.

Figure 5. Signal flow through the DDS architecture.

What are popular uses for DDS?

Applications currently using DDS-based waveform generation fall into two principal categories: Designers of communications systems requiring agile (i.e., immediately responding) frequency sources with excellent phase noise and low spurious performance often choose DDS for its combination of spectral performance and frequency-tuning resolution. Such applications include using a DDS for modulation, as a reference for a PLL to enhance overall frequency tunability, as a local oscillator (LO), or even for direct RF transmission.

Alternatively, many industrial and biomedical applications use a DDS as a programmable

waveform generator. Because a DDS is digitally programmable, the phase and frequency of a waveform can be easily adjusted without the need to change the external components that would normally need to be changed when using traditional analog-programmed waveform generators. DDS permits simple adjustments of frequency in real time to locate resonant frequencies or compensate for temperature drift. Such applications include using a DDS in adjustable frequency sources to measure impedance (for example in an impedance-based sensor), to generate

pulse-wave modulated signals for micro-actuation, or to examine attenuation in LANs or telephone cables.

What do you consider to be the key advantages of DDS to designers of real-world equipment and systems?

Today’s cost-competitive, high-performance, functionally integrated DDS ICs are becoming common in both communication systems and sensor applications. The advantages that make them attractive to design engineers include:

?digitally controlled micro-hertz frequency-tuning and sub-degree phase-tuning capability, ?extremely fast hopping speed in tuning output frequency (or phase); phase-continuous frequency hops with no overshoot/undershoot or analog-related loop settling-time anomalies, ?the digital architecture of DDS eliminates the need for the manual tuning and tweaking related to component aging and temperature drift in analog synthesizer solutions, and

?the digital control interface of the DDS architecture facilitates an environment where systems can be remotely controlled and optimized with high resolution under processor

control.

How would I use a DDS device for FSK encoding?

Binary frequency-shift keying (usually referred to simply as FSK) is one of the simplest forms of data encoding. The data is transmitted by shifting the frequency of a continuous carrier to one of two discrete frequencies (hence binary). One frequency, f1, (perhaps the higher) is designated as the mark frequency (binary one) and the other, f0, as the space frequency (binary zero). Figure 6 shows an example of the relationship between the mark-space data and the transmitted signal.

Figure 6. FSK modulation.

This encoding scheme is easily implemented using a DDS. The DDS frequency tuning word, representing the output frequencies, is set to the appropriate values to generate f0 and f1 as they occur in the pattern of 0s and 1s to be transmitted. The user programs the two required tuning words into the device before transmission. In the case of the AD9834, two frequency registers are available to facilitate convenient FSK encoding. A dedicated pin on the device (FSELECT) accepts the modulating signal and selects the appropriate tuning word (or frequency register). The

block diagram in Figure 7 demonstrates a simple implementation of FSK encoding.

Figure 7. A DDS-based FSK encoder.

And how about PSK coding?

Phase-shift keying (PSK) is another simple form of data encoding. In PSK, the frequency of the carrier remains constant and the phase of the transmitted signal is varied to convey the information.

Of the schemes to accomplish PSK, the simplest-known as binary PSK (BPSK)—uses just two signal phases: 0 degrees and 180 degrees. BPSK encodes 0° phase shift for a logic 1 input and 180° phase shift for a logic 0 input. The state of each bit is determined according to the state of the preceding bit. If the phase of the wave does not change, the signal state stays the same (low or high). If the phase of the wave reverses (changes by 180 degrees), then the signal state changes (from low to high, or from high to low).

PSK encoding is easily implemented with DDS ICs. Most of the devices have a separate input register (a phase register) that can be loaded with a phase value. This value is directly added to the phase of the carrier without changing its frequency. Changing the contents of this register modulates the phase of the carrier, thus generating a PSK output signal. For applications that require high speed modulation, the AD9834 allows the preloaded phase registers to be selected using a dedicated toggling input pin (PSELECT), which alternates between the registers and modulates the carrier as required.

More sophisticated forms of PSK employ four- or eight- wave phases. This allows binary data to be transmitted at a faster rate per phase change than is possible with BPSK modulation. In

four-phase modulation (quadrature PSK or QPSK), the possible phase angles are 0, +90, –90, and 180 degrees; each phase shift can represent two signal elements. The AD9830, AD9831, AD9832, and AD9835 provide four phase registers to allow complex phase modulation schemes to be implemented by continuously updating different phase offsets to the registers.

Can multiple DDS devices be synchronized for, say, I-Q capability?

It is possible to use two single DDS devices that operate on the same master clock to output two signals whose phase relationship can then be directly controlled. In Figure 8, two AD9834s are programmed using one reference clock, with the same reset pin being used to update both parts. Using this setup, it is possible to do I-Q modulation.

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forced concrete structure reinforced with an overviewRein Since the reform and opening up, with the national economy's rapid and sustained development of a reinforced concrete structure built, reinforced with the development of technology has been great. Therefore, to promote the use of advanced technology reinforced connecting to improve project quality and speed up the pace of construction, improve labor productivity, reduce costs, and is of great significance. Reinforced steel bars connecting technologies can be divided into two broad categories linking welding machinery and steel. There are six types of welding steel welding methods, and some apply to the prefabricated plant, and some apply to the construction site, some of both apply. There are three types of machinery commonly used reinforcement linking method primarily applicable to the construction site. Ways has its own characteristics and different application, and in the continuous development and improvement. In actual production, should be based on specific conditions of work, working environment and technical requirements, the choice of suitable methods to achieve the best overall efficiency. 1、steel mechanical link 1.1 radial squeeze link Will be a steel sleeve in two sets to the highly-reinforced Department with superhigh pressure hydraulic equipment (squeeze tongs) along steel sleeve radial squeeze steel casing, in squeezing out tongs squeeze pressure role of a steel sleeve plasticity deformation closely integrated with reinforced through reinforced steel sleeve and Wang Liang's Position will be two solid steel bars linked Characteristic: Connect intensity to be high, performance reliable, can bear high stress draw and pigeonhole the load and tired load repeatedly.

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The future of the tall building and structure of buildings Zoning effects on the density of tall buildings and solar design may raise ethical challenge. A combined project of old and new buildings may bring back human scale to our cities. Owners and conceptual designers will be challenged in the 1980s to produce economically sound, people-oriented buildings. In 1980 the Level House, designed by Skidmore, Owings and Merril1 (SOM) received the 25-year award from the American Institute of Architects “in recogn ition of architectural design of enduring significance”. This award is given once a year for a building between 25and 35 years old .Lewis Mumford described the Lever House as “the first office building in which modern materials, modern construction, modern functions have been combined with a modern plan”. At the time, this daring concept could only be achieved by visionary men like Gordon Bunshaft, the designer , and Charles Luckman , the owner and then-president of Lever Brothers . The project also include d a few “first” : (1) it was the first sealed glass tower ever built ; (2) it was the first office building designed by SOM ;and (3) it was the first office building on Park Avenue to omit retail space on the first floor. Today, after hundreds of look-alike and variations on the grid design, we have reached what may be the epitome of tall building design: the nondescript building. Except for a few recently completed buildings that seem to be people-oriented in their lower floors, most tall buildings seem to be arepletion of the dull, graph-paper-like monoliths in many of our cities. Can this be the end of the design-line for tall buildings? Probably cannot. There are definite signs that are most encouraging. Architects and owners have recently begun to discuss the design problem publicly. Perhaps we are at the threshold of a new era. The 1980s may bring forth some new visionaries like Bunshaft and Luckman. If so, what kinds of restrictions or challenges do they face? Zoning Indications are strong that cities may restrict the density of tall buildings, that is, reduce the number of tall buildings per square mile. In 1980 the term

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外文翻译 专业机械电子工程 学生姓名张华 班级 B机电092 学号 05 指导教师袁健

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