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1、signal processing signal processing is an area of electrical engineering and applied mathematics that deals with operations on or analysis of signals, in either discrete or continuous time, to perform useful operations on those signals. signals of interest can include sound, images, time-varying mea
2、surement values and sensor data, for example biological data such as electrocardiograms, control system signals, telecommunication transmission signals such as radio signals, and many others. signals are analog or digital electrical representations of time-varying or spatial-varying physical quantit
3、ies. in the context of signal processing, arbitrary binary data streams and on-off signalling are not considered as signals, but only analog and digital signals that are representations of analog physical quantities. history according to alan v. oppenheim and ronald w. schafer, the principles of sig
4、nal processing can be found in the classical numerical analysis techniques of the 17th century. they further state that the digitalization or digital refinement of these techniques can be found in the digital control systems of the 1940s and 1950s.2categories of signal processing analog signal proce
5、ssing analog signal processing is for signals that have not been digitized, as in classical radio, telephone, radar, and television systems. this involves linear electronic circuits such as passive filters, active 2 / 14 filters, additive mixers, integrators and delay lines. it also involves non-lin
6、ear circuits such as compandors, multiplicators (frequency mixers and voltage-controlled amplifiers), voltage-controlled filters, voltage-controlled oscillators and phase-locked loops. discrete time signal processing discrete time signal processing is for sampled signals that are considered as defin
7、ed only at discrete points in time, and as such are quantized in time, but not in magnitude. analog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits, analog time-division multiplexers, analog delay lines and analog feedback shift registers.
8、 this technology was a predecessor of digital signal processing (see below), and is still used in advanced processing of gigahertz signals. the concept of discrete-time signal processing also refers to a theoretical discipline that establishes a mathematical basis for digital signal processing, with
9、out taking quantization error into consideration. digital signal processing digital signal processing is for signals that have been digitized. processing is done by general-purpose computers or by digital circuits such as asics, field-programmable gate arrays or specialized digital signal processors
10、 (dsp chips). typical arithmetical operations include fixed-point and floating-point, real-valued and complex-valued, multiplication and addition. other typical operations supported by the hardware are circular buffers and look-up tables. examples of algorithms 3 / 14 are the fast fourier transform
11、(fft), finite impulse response (fir) filter, infinite impulse response (iir) filter, and adaptive filters such as the wiener and kalman filters 1.digital signal processing digital signal processing ( dsp ) is concerned with the representation of signals by a sequence of numbers or symbols and the pr
12、ocessing of these signals. digital signal processing and analog signal processing are subfields of signal processing. dsp includes subfields like: audio and speech signal processing, sonar and radar signal processing, sensor array processing, spectral estimation, statistical signal processing, digit
13、al image processing, signal processing for communications, control of systems, biomedical signal processing, seismic data processing, etc. the goal of dsp is usually to measure, filter and/or compress continuous real-world analog signals. the first step is usually to convert the signal from an analo
14、g to a digital form, by sampling it using an analog-to-digital converter (adc), which turns the analog signal into a stream of numbers. however, often, the required output signal is another analog output signal, which requires a digital-to-analog converter (dac). even if this process is more complex
15、 than analog processing and has a discrete value range, the application of computational power to digital signal processing allows for many advantages over analog processing in many applications, such as error detection and correction in transmission as well as data compression.14 / 14 dsp algorithm
16、s have long been run on standard computers, on specialized processors called digital signal processors (dsps), or on purpose-built hardware such as application-specific integrated circuit (asics). today there are additional technologies used for digital signal processing including more powerful gene
17、ral purpose microprocessors, field-programmable gate arrays (fpgas), digital signal controllers (mostly for industrial apps such as motor control), and stream processors, among others.22. dsp domains in dsp, engineers usually study digital signals in one of the following domains: time domain (one-di
18、mensional signals), spatial domain (multidimensional signals), frequency domain, autocorrelation domain, and wavelet domains. they choose the domain in which to process a signal by making an informed guess (or by trying different possibilities) as to which domain best represents the essential charac
19、teristics of the signal. a sequence of samples from a measuring device produces a time or spatial domain representation, whereas a discrete fourier transform produces the frequency domain information, that is the frequency spectrum. autocorrelation is defined as the cross-correlation of the signal w
20、ith itself over varying intervals of time or space. 3. signal sampling main article: sampling (signal processing) with the increasing use of computers the usage of and need for digital signal processing has increased. in order to use an analog signal on a computer it must be digitized with an analog
21、-to-digital converter. 5 / 14 sampling is usually carried out in two stages, discretization and quantization. in the discretization stage, the space of signals is partitioned into equivalence classes and quantization is carried out by replacing the signal with representative signal of the correspond
22、ing equivalence class. in the quantization stage the representative signal values are approximated by values from a finite set. the nyquist shannon sampling theorem states that a signal can be exactly reconstructed from its samples if the sampling frequency is greater than twice the highest frequenc
23、y of the signal; but requires an infinite number of samples . in practice, the sampling frequency is often significantly more than twice that required by the signals limited bandwidth. a digital-to-analog converter is used to convert the digital signal back to analog. the use of a digital computer i
24、s a key ingredient in digital control systems. 4. time and space domains main article: time domain the most common processing approach in the time or space domain is enhancement of the input signal through a method called filtering. digital filtering generally consists of some linear transformation
25、of a number of surrounding samples around the current sample of the input or output signal. there are various ways to characterize filters; for example: ?a linear filter is a linear transformation of input samples; other filters are non-linear. linear filters satisfy the superposition condition, i.e
26、. if an input is a weighted linear combination of different 6 / 14 signals, the output is an equally weighted linear combination of the corresponding output signals. ?a causal filter uses only previous samples of the input or output signals; while a non-causal filter uses future input samples. a non
27、-causal filter can usually be changed into a causal filter by adding a delay to it. ?a time-invariant filter has constant properties over time; other filters such as adaptive filters change in time. ?some filters are stable, others are unstable. a stable filter produces an output that converges to a
28、 constant value with time, or remains bounded within a finite interval. an unstable filter can produce an output that grows without bounds, with bounded or even zero input. ?a finite impulse response (fir) filter uses only the input signals, while an infinite impulse response filter (iir) uses both
29、the input signal and previous samples of the output signal. fir filters are always stable, while iir filters may be unstable. filters can be represented by block diagrams which can then be used to derive a sample processing algorithm to implement the filter using hardware instructions. a filter may
30、also be described as a difference equation, a collection of zeroes and poles or, if it is an fir filter, an impulse response or step response. the output of a digital filter to any given input may be calculated by convolving the input signal with the impulse response. 7 / 14 5. frequency domain main
31、 article: frequency domain signals are converted from time or space domain to the frequency domain usually through the fourier transform. the fourier transform converts the signal information to a magnitude and phase component of each frequency. often the fourier transform is converted to the power
32、spectrum, which is the magnitude of each frequency component squared. the most common purpose for analysis of signals in the frequency domain is analysis of signal properties. the engineer can study the spectrum to determine which frequencies are present in the input signal and which are missing. in
33、 addition to frequency information, phase information is often needed. this can be obtained from the fourier transform. with some applications, how the phase varies with frequency can be a significant consideration. filtering, particularly in non-realtime work can also be achieved by converting to t
34、he frequency domain, applying the filter and then converting back to the time domain. this is a fast, o(n log n) operation, and can give essentially any filter shape including excellent approximations to brickwall filters. there are some commonly used frequency domain transformations. for example, t
35、he cepstrum converts a signal to the frequency domain through fourier transform, takes the logarithm, then applies another fourier transform. this emphasizes the frequency components with smaller magnitude while retaining the order of magnitudes of frequency components. 8 / 14 frequency domain analy
36、sis is also called spectrum- or spectral analysis . 6. z-domain analysis whereas analog filters are usually analysed on the s-plane; digital filters are analysed on the z-plane or z-domain in terms of z-transforms. most filters can be described in z-domain (a complex number superset of the frequency
37、 domain) by their transfer functions. a filter may be analysed in the z-domain by its characteristic collection of zeroes and poles. 7. applications the main applications of dsp are audio signal processing, audio compression,digital image processing, video compression, speech processing, speech reco
38、gnition, digital communications, radar, sonar, seismology, and biomedicine. specific examples are speech compression and transmission in digital mobile phones, room matching equalization of sound in hifi and sound reinforcement applications, weather forecasting, economic forecasting, seismic data pr
39、ocessing, analysis and control of industrial processes, computer-generated animations in movies, medical imaging such as cat scans and mri, mp3 compression, image manipulation, high fidelity loudspeaker crossovers and equalization, and audio effects for use with electric guitaramplifiers 8. implemen
40、tation digital signal processing is often implemented using specialised microprocessors such as the dsp56000, the tms320, or the sharc. these often process data using fixed-point arithmetic, although some versions 9 / 14 are available which use floating point arithmetic and are more powerful. for fa
41、ster applications fpgas3 might be used. beginning in 2007, multicore implementations of dsps have started to emerge from companies including freescale and stream processors, inc. for faster applications with vast usage,asics might be designed specifically. for slow applications, a traditional slower
42、 processor such as a microcontroller may be adequate. also a growing number of dsp applications are now being implemented on embedded systems using powerful pcs with a multi-core processor. 翻译信号处理信号处理是电气工程与应用数学领域,在离散的或连续时间域处理和分析信号,以对这些信号进展所需的有用的处理。这些信号可以包括声音、 图像、时变实测值与传感器的数据 , 例如生物资料如心电图、 控制系统信号 , 电
43、信传递讯号如无线电信号 , 以与其他许多种形式。 模拟或数字信号代表空间变换或者时变的物理量。在信号处理中, 任意二进制数据流、 开关信号没有被作为实质的信号,而是被当做代表模拟物理量的模拟和数字信号。开展历史根据 alan v. oppenheim 和 ronald w. schafer 的研究,信号处理可以在十七世纪的经典数据分析中被发现。 他们进一步研究说明这种技术的数字化和数字精度在二十世纪的四十年代到五十年代的数控领域都得到了应用。信号处理的类别模拟信号处理10 / 14 模拟信号处理是针对那些没有被数字化的信号所做的处理,例如在老式的电台、雷达和电视系统中的信号。这包括线性电路 ,
44、 如无源滤波器、有源滤波器、累加器、集成商和延迟线。同时也涉与到非线性电路, 如(混频器、压控放大器、压控过滤器、压控振荡器、锁相环等。离散时间信号处理离散时间信号处理是针对在离散时间点上采样的信号,但它们只是时间上离散,而在幅度上并不离散。 模拟离散时间信号处理, 如采样和保持电路, 模拟时分多路复用器,模拟延迟线和模拟反应移位存放器的电子装置为根底的技术。这项技术是一种数字信号处理 见下文 的前身,至今依然是在千兆赫信号先进的加工使用。在离散时间信号处理概念也指的是一个理论学科,它建立了数字信号处理的数学根底,而不考虑量化误差。数字信号处理数字信号处理是已经数字化的信号。加工是由通用计算机
45、或专用集成电路等,现场可编程门阵列或专门的数字信号处理器dsp 芯片数字电路。典型的算术运算包括定点和浮点, 实数和复数, 乘法和加法。 由硬件支持的其他典型的操作循环缓冲器和查找表。 对算法的例子是快速傅立叶变换 fft , 有限脉冲响应fir滤波器,无限脉冲响应iir 滤波器,以与诸如维纳和卡尔曼滤波自适应滤波器。1. 数字信号处理11 / 14 数字信号处理 dsp 是关注的信号通过一组数字或符号序列,这些信号处理的代表性。数字信号处理和模拟信号处理是信号处理的子领域。 dsp的包括像子字段:音频和语音信号处理,声纳和雷达信号处理,传感器阵列处理,谱估计,统计信号处理,数字图像处理,通信
46、信号处理,系统控制,生物医学信号处理,地震数据处理。 dsp的目标通常衡量,筛选器和/ 或压缩连续现实世界的模拟信号。 第一步通常是从模拟转换到数字信号的形式通过抽样它使用一个模拟数字转换器adc ,它变成了数字流的模拟信号。不过,通常情况下,所需的输出信号是另一个模拟输出信号, 这需要一个数字至模拟转换器 dac 。即使这个过程比模拟处理复杂, 离散值围,计算能力为数字信号处理应用允许通过模拟处理诸多优点,在许多应用,如错误检测和校正,以与数据传输,压缩。 dsp算法一直运行在标准的计算机,专用处理器上所谓的数字信号处理器dsp 或专用等特定应用集成电路 asic 的硬件。今天,有更多的数字
47、信号处理技术包括更强大的通用微处理器,现场可编程门阵列fpga ,数字信号控制器主要用于工业,如马达控制应用程序和流处理器使用等。2.dsp的领域在数字信号处理器中, 数字信号的研究工程师通常在以下领域之一:时域一维信号,空间域多维信号,频域,自相关域和小波域。他们选择的域的处理由作出知情预测 或通过尝试不同的可能性,以最能代表该域的信号的本质特征的信号。一个从一个测量装置的样品顺序会产生一个时间或空间域表示,而一个离散傅立叶变换产生频域信息,那就是频谱。自相关被定义为穿插信号的相关性与本身在不同的时间或空间的间隔。3. 信号采样12 / 14 主要文章:抽样信号处理随着越来越多地使用计算机的使用情况和数字信号处理的需要有所增加。为了使用上,它必须与一个模拟数字转换器数字化计算机模拟信号。抽样通常分两个阶段进展,离散化和量化。 在离散化阶段, 对信号的空间划分为等价类和量化是由替换相应的等价类的代表信号的信号输出。在量化阶段, 代表信号值是近似的值是从一个有限集合。奈奎斯特 - shannon采样定理指出,一个信号可以准确地从它的采样中重建如果采样频率大于两倍的信号最高频率更高,但是需要无限多的样本。 在实践中, 采样频率往往大大超过两次,通过信号的有限带宽要求。数字至模拟转换器是用来将数字
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