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1、外文出处:扩频通信系统的介绍一、扩频通信的原理扩频是香农定理的典型:C=Blog2(1+S/N) 公式(1)在公式中,C为信道容限,单位是比特/秒(bps),意指单位时间内信道中无差错传输的最大信息量。B为信号频带宽度,单位是Hz,S/N为信噪比。也就是说,C为信道允许通过的信息量,也代表了扩频的性能。带宽(B)是代价,因为频率是一个有限的资源。信噪比体现了环境条件或物理特性(如障碍、干扰器、干扰等)。上式说明,的情况下,在无差错传输的信息速率C不变时,如果信噪比很低,则可以用足够宽的带宽来传输信号,即使信号功率密度低于噪音水平。(公式可用!)改变公式(1)中对数的底数,2改为e,则为In=l

2、oge。因此,C/B=(1/ln2)ln(1+S/N)=1.443ln(1+S/N) 公式(2) 根据MacLaurin扩展公式ln(1+x)=x-x2/2+x3/3-x4/4+(-1)k+1xk/k+:C/B=1.443(S/N-1/2(S/N)2+1/3(S/N)3-) 公式(3)在扩频应用中,通常S/N很低。(正如刚才提到的,信号功率密度甚至低于噪音水平。)假定噪音水平即S/N1,香农公式可简单表示为:C/B1.443S/N 公式(4)简化为:C/NS/N 公式(5)或者:N/SB/C 公式(6)向固定了信噪比的信道发送错误的信息,只要执行基本扩频信号的传播操作:增加传输带宽。尽管这一原

3、则看起来很简单明确,但实现她却很复杂,主要是因为展宽基带的电子设备必须同时存在展宽和解扩的操作过程。二、定义不同的扩频技术都有一个共同之处:密钥(也称为代码或序列)依附于传输信道。以插入代码的形式准确地定义扩频技术,术语“频谱扩展”是指扩频信号的几个数量级的带宽在有密钥的传输信道中的扩展。以传统的方式定义扩频更为精确:在射频通信系统中,将基带信号扩展为比原有信号的带宽宽得多的高频信号(如图1)。在此过程中,传输宽带信号产生的损耗,表现为噪声。扩频信号带宽与信息带宽之比称为处理增益。扩频过程的处理增益大都在10dB 到60dB之间。要应用扩频技术,只需在天线(接收器)之前加入相应的扩频码。相反,

4、你可以删除一个点的扩频码(称为解扩操作)接收发射链路数据恢复。解扩过程是重新恢复原始带宽的过程。很明显,同样的代码必须在事先知道在传输通道两端的信息。(在某些情况下,在调制和解调的过程中代码应该是知道的)。 输电链扩频代码接收链扩频代码数据输入射频输出射频输入RF IN射频连接相同的配置序列数据输出图1.扩频通信系统扩频的优点抗干扰性能和抗干扰的影响扩频技术有很多优点。.抗干扰性是最重要的一个优点。有意或无意的干扰和干扰信号都是不希望存在的因为它们不包含扩频密钥。只有期望信号才有密钥,在解扩过程中才会被接收器接收,如图5。输电链扩频代码接收链扩频代码数据输入射频输出射频输入RF IN射频连接数

5、据输出数据 干扰数据扩展和干扰扩展数据扩展数据扩展和干扰图5.扩频通信系统。注意,解扩链路中数据信号被传输的同时干扰能源也被传输。无论在窄带或宽带中,如果它不涉及解扩过程,你几乎可以忽略干扰。这种抑制反应也适用于其他没有正确密钥的扩频信号。因此不同的扩频通信系统可以工作在同一频段,例如CDMA。值得注意的是,扩频是宽带技术,但反之则不然:宽带技术不涉及扩频技术。抗截获抗截获是扩频通信技术的第二个优势。由于非法的听众没有密钥用于原始信号传播,这些听众无法解码。没有合适的钥匙,扩频信号会出现噪音或干扰。(扫描方法可以打破的这些密钥,但是密钥是短暂的。)甚至更好,信号电平可以低于噪声水平,因为扩频传

6、输降低了频谱密度,如图6。(总能量是相同的,但它是广泛存在于频率的。)因此信息是无形的,这一影响在直接序列扩频(DSSS)技术上有充分的体现。(在下文的DSSS作更详细说明。)其他接收机无法“看到”这种传输,它们只能出现在整体噪音水平略有增加的情况下!噪声基准扩展后的数据噪声基准数据传播之前图6.在被噪音水平之下的扩频频谱信号。在没有正确的扩频传输密钥的情况下,接收器不能“看到”传输过程。抗衰落(多径效应)无线信道通常具有多径传播,即有一个以上的信号从发射机传到接收器(如图7)。这种多路径可以通过空气的反射或折射以及从地面反射或物体如这些路径建筑物引起。RxRDTx图7.信号是如何通过多个路径

7、到达接收器的。这种反射路径(R)可干扰直接路径(D)的现象称为解扩过程的同步衰落。因为解扩过程使信号D与信号R的同步被拒绝,即使它们包含了相同的密钥。将反射路径的信号应用于解扩是个有用的方法。扩频技术在CDMA的应用请注意,扩展频谱不是一个扩频调制方案,不应与其他调制方式相混淆。例如我们可以使用扩频技术发射一个由PSK或BPSK的已调信号。.感谢调制的信号的编码基础,使扩频频谱也可用于其他类型的多址实现(即可以同时进行多个通讯联系和实际或表面上相同的物理介质共存)。到目前为止,有三个主要的方法可用。FDMA-频分多址FDMA分配一个特定的载波频率给通信信道。不同用户使用频谱的切片数是受到限制的

8、(如图8)。在已有的三种多路存取方法中,FDMA在频带利用方面是效率最低的。FDMA的方法包括Methods包括无线电广播,电视,高级移动电话系统AMPS等。用户1 用户2 用户3 用户N频率(kHz,MHz,GHz) Fc1 Fc2 Fc3 FcN图8. FDMA系统中不同的用户的载波频率分配。TDMA-时分多址TDMA的不同用户彼此间发言和听取信息时,是根据定义的时隙分配来处理的(如图9)。不同的通信信道可以建立一个唯一的载波频率。TDMA的例子有全球移动通信系统GSM,DECT,TETRA和IS - 136。用户1 用户2 用户3 用户N 用户1 用户2 用户3 用户N时间段时间段时间(

9、ms,us)图9.在TDMA系统中不同用户的时隙分配。CDMA-码分多址CDMA的传播是由密钥或代码决定的(如图10)。在这个意义上说,扩频就是一种CDMA 。在发射器和接收器密钥必须提前被定义和确定。它的例子有IS - 95(DS),IS- 98,蓝牙和无线局域网。用户1用户5用户4用户3用户2图10.CDMA系统中相同频带有独特的钥匙或代码。当然,人们可以结合上述存取方法,例如,全球移动通信系统GSM结合了TDMA和FDMA。GSM定义了不同的载波频率(细胞)的拓扑领域,并设定时段内每一个细胞。扩频和(的)编码密钥在这一点上,值得重申的是扩频的主要特点是一个代码或密钥必须在发射器和接收器之

10、前就是已知的。现代通讯的代码是数字序列必须长期存在和随机出现的,尽可能地显示为“噪音像”。在任何情况下,代码必须确保是可再生的。或者接收器不能提取已发出去的消息。因此,该序列是几乎是随机的 。这样的代码被称为伪随机数(PRN)或序列。最常用的方法来产生伪随机是基于反馈移位寄存器的。许多书籍都在介绍伪随机码的发展与特征,但是,实际的发展已超出了这些教材所叙述的。注意的是,建立或选择适当的序列或序列集并不是微不足道的。为了保证有效的扩频通信,伪随机序列必须尊重一定的规律如长度、自相关、互相关、正交。比较受欢迎伪随机序列有Barker码,M序列码,Gold码,Walsh码等。考虑到存在更复杂的序列集

11、,给它提供了一个更强大的扩展频谱链路。但是这产生了成本问题:扩频和解扩都需要在速度和性能都更复杂的电子产品,数字扩频解扩芯片包含几百万个等效的2输入与非门在几十兆赫间切换。An Introduction to Spread-Spectrum CommunicationsAbstract:This application note is a tutorial overview of spread-spectrum principles.The discussion covers both direct-sequence and fast-hopping methods.Theoretical e

12、quations are given to allow performance estimates.Relation direct-sequence spread-spectrum(DSSS) and frequency-hopping spread-spectrum(FHSS) methods.Introduction As spread-spectrum techmiques become increasingly popular,electrical engineers outside the field are eager for understandable explanations

13、 of the technology.There are books and websites on the subject,but many are hard to understand or describe some aspects while ignoring others(e.g.,the DSSS technique with extensive focus on PRN-code generation).The following discussion covers the full spectrum(pun intended).A Short HistorySpread-spe

14、ctrum communications technology was first described on paper by an actress and a musician!In 1941 Hollywood actress Hedy Lamarr and pianist George Antheil described a secure radio link to control torpedos.They received U.S.Patent #2.292.387.The technology was not taken seriously at that time by the

15、U.S.Army and was forgotten until the 1980s,when it became active.Since then the technology has become increasingly popular for application that involve radio links in hostile environments.Typical applications for the resulting short-range data transceivers include satellite-positioning systemsGPS,3G

16、 mobile telecommunications,W-LAN(IEEE802.11a,IEEE 802.11b,IEEE 802.11g),and Bluetooth.Spread-spectrum techniques also aid in the endless race between communication needs and radio-frequency availability-situations where the radio spectrum is limited and is,therefore,an expensive resource.Theoretical

17、 Justification for Spread Spectrum Spread-spectrum is apparent in the Shannon and Hartley channel-capacity theorem: C=Blog2(1+S/N) (Eq.1)In this equation,C is the channel capacity in bits per second(bps),which is the maximum data rate for a theoretical bit-error rate(BER).B is the required channel b

18、andwidth in Hz,and S/N is the signal-to-nosie power ratio.To be more explicit,one assumes that C,which represents the amount of information allowed by the communication channel,also represents the desired performance.Bandwidth (B) is the price to be paid,bacause frequency is a limited resource.The S

19、/N ratio expresses the environmental conditions or the physical characteristics (i.e., obstacles ,presence of jammers ,interferences,etc.).There is an elegant interpretation of this equation,applicable for difficult environments,for example,when a low S/N ratio is caused by noise and interference.Th

20、is approach says that one can maintain or even increase communication performance (high C) by allowing or injecting more bandwidth (high B),even when signal power is below the noise floor. (The equation does not forbid that condition!)Modify Equation 1 by changing the log base from 2 to e (the Napie

21、rian number) and by noting that In=loge.Therefore:C/B=(1/ln2)ln(1+S/N)=1.443ln(1+S/N) (Eq.2)Applying the MacLaurin series development forln(1+x)=x-x2/2+x3/3-x4/4+(-1)k+1xk/k+:C/B=1.443(S/N-1/2(S/N)2+1/3(S/N)3-) (Eq.3)S/N is usually low for spread-spectrum applications. (As just mentioned, the signal

22、 power density can even be below the noise level.) Assuming a noise level such that S/N 1,Shannons expression becomes simply:C/B1.443S/N (Eq.4)Very roughly:C/NS/N (Eq.5)Or:N/SB/C (Eq.6)To send error-free information for a given noise-to-signal ratio in the channel,therefore,one need only perform the

23、 fundamental spread-spectrum signal-spreading operation:increase the transmitted bandwidth.That principle seems simple and evident.Nonetheless,implementation is complex,mainly because spreading the baseband (by a factor that can be several orders of magnitude) forces the electronics to act and react

24、 accordingly,which,in turn,makes the spreading and despreading operations necessary.DefinitionsDifferent spread-spectrum techniques are available,but all have one idea in common:the key (also called the code or sequence) attached to the communication channel.The manner of inserting this code defines

25、 precisely the spread-spectrum technique.The term spread spectrum refers to the expansion of signal bandwidth,by several orders of magnitude in some cases,which occurs when a key is attached to the communication channel.The formal definition of spread spectrum is more precise:an RF communications sy

26、stem in which the baseband signal bandwidth is intentionally spread over a larger bandwidth by injecting a higher frequency signal (Figure 1).As a direct consequence,energy used in transmitting the signal is spread over a wider bandwidth,and appears as noise.The ratio (in dB) between the spread base

27、band and the original signal is called processing gain.Typical spread-spectrum processing gains run from 10dB to 60dB.To apply a spread-spectrum technique,simply inject the corresponding spread-spectrum code somewhere in the transmitting chain before the antenna (receiver).Conversely,you can remove

28、the spread-spectrum code (called a despreading operation) at a point in the receive chain before data retrieval.A despreading operation reconstitutes the information into its original bandwidth.Obviously,the same code must be known in advance at both ends of the transmission channel. (In some circum

29、stances,the code should be known only by those two parties.)Figure 1.Spread-spectrum communication systemBandwidth Effects of the Spreading OperationFigure 2 illustrates the evaluation of signal bandwidths in a communication link.Figure 2.Spreading operation spreads the signal energy over a wider fr

30、equency bandwidth.Spread-spectrum modulation is applies on top of a conventional modulation such as BPSK or direct conversion.One can demonstrate that all other signals not receiving the spread-spectrum code will remain ad they are,that is,unspread.Bandwidth Effects of the Despreading Operation Simi

31、larly,despreading can be seen in Figure 3.Figure 3. The despreading operation recovers the original signal.Here a spread-spectrum demodulation has been made on top of the normal demodulation operations.One can also demonstrate that signals such as an interferer or jammer added during the transmissio

32、n will be spread during the despreading operation!Waste of Bandwidth Due to Spreading Is Offset by Multiple UsersSpreading results directly in the use of a wider frequency band by a factor that corresponds exactly to the processing gain mentioned earlier.Therefore spreading does not spare the limite

33、d frequency resource.That overuse is well compensated,however,by the possibility that many users will share the enlarged frequency band (Figure 4).Figure 4. The same frequency band can be shared by multiple users with spread-spectrum techniques.Spread Spectrum Is a Wideband Technology In contrast to

34、 regular narrowband technology,the spread-spectrum process is a wideband technology.W-CDMA and UMTS, for example,are wideband technologies that require a relatively large frequency bandwidth, compared to narrowband radio.Benefits of Spread SpectrumResistance to Interference and Antijamming EffectsTh

35、ere are many benefits to spread-spectrum technology.Resistance to interference is the most important advantage.Intentional or unintentional interference and jamming signals are rejected because they do not contain the spread-spectrum key.Only the desired signal,which has the key, will be seen at the

36、 receiver when the despreading operation is exercised.See Figure 5.Figure 5. A spread-spectrum communication system.Note that the interferers energy is spread while the data signal is despread in the receive chain.You can practically ignore the interference,narrowband or wideband,if it does not incl

37、ude the key used in the dispreading operation.That rejection also applies to other spread-spectrum signals that do not have the right key.Thus different spread-spectrum communications can be active simultaneously in the same band,such as CDMA.Note that spread-spectrum is a wideband technology,but th

38、e reverse is not true:wideband techniques need not involve spread-spectrum technology.Resistance to Interception Resistance to interception is the second advantage provided by spread-spectrum techniques.Because nonauthorized listeners do not have the key used to spread the original signal,those list

39、eners cannot decode it.Without the right key,the spread-spectrum signal appears as noise or as an interferer.(Scanning methods can break the code,however,if the key is short.) Even better,signal levels can be below the noise floor,because the spreading operation reduces the spectral density.See Figu

40、re 6.(Total energy is the same,but it is widely spread in frequency.) The message is thus made invisible,an effect that is particularly strong with the direct-sequence spread-spectrum (DSSS) technique.(DSSS is discussed in greater detail below.) Other receivers cannot “see” the transmission;they onl

41、y register a slight increase in the overall noise level!Figure 6.Spread-spectrum signal is buried under noise level.The receiver cannot “see” the transmission without the right spread-spectrum keys.Resistance to Fading (Multipath Effects)Wireless channels often include multiple-path propagation in w

42、hich the signal has more that one path from the transmitter to the receiver (Figure 7).Such multipaths can be caused by atmospheric reflection or refraction, and by reflection from the ground or from objects such as buildings.Figure 7.Illustration of how the signal can reach the receiver over multip

43、le paths.The reflected path (R) can interfere with the direct path (D) in a phenomenon called fading.Because the dispreading process synchronizes to signal D,signal R is rejected even though it contains the same key. Methods are available to use the reflected-path signals by dispreading them and add

44、ing the extracted results to the main one.Spread Spectrum Allows CDMANote that spread spectrum is not a modulation scheme,and should not be confused with other types of modulation.One can,for example,use spread-spectrum techniques to transmit a signal modulated by PSK or BPSK.Thanks to the coding ba

45、sis,spread spectrum can also be used as another method for implementing multiple access (i.e.,the real or apparent coexistence of multiple and simultaneous communication links on the same physical media).So far,three main methods are available. FDMA-Frequency Division Multiple AccessFDMA allocates a

46、 specific carrier frequency to a communication channel.The number of different users is limited to the number of “slices” in the frequency spectrum (Figure 8).Of the three methods for enabling multiple access,FDMA is the least efficient in term of frequency-band usage.Methods of FDMA access include radio broadcasting,TV,AMPS,and TETRAPOLE.Figure 8.Carrier-frequency allocations among different users in a FDMA system.TDMA-Time Division Multiple Access With TDMA

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