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毕业设计英文翻译——认知无线电频谱感知算法仿真

毕业设计英文翻译——认知无线电频谱感知算法仿真
毕业设计英文翻译——认知无线电频谱感知算法仿真

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上海电力学院

毕业设计(英文翻译)

课题名称认知无线电频谱感知算法仿真

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Implementation Issues in Spectrum Sensing for Cognitive Radios

认知无线电频谱感知的实现问题

Abstract:There are new system implementation challenges involved in the design of cognitive radios, which have both the ability to sense the spectral environment and the flexibility to adapt transmission parameters to maximize system capacity while co-existing with legacy wireless networks. The critical design problem is the need to process multi-gigahertz wide bandwidth and reliably detect presence of primary users. This places severe requirements on sensitivity, linearity, and dynamic range of the circuitry in the RF front-end. To improve radio sensitivity of the sensing function through processing gain we investigated three digital signal processing techniques: matched filtering, energy detection, and cyclostationary feature detection. Our analysis shows that cyclostationary feature detection has advantages due to its ability to differentiate modulated signals, interference and noise in low signal to noise ratios. In addition, to further improve the sensing reliability, the advantage of a MAC protocol that exploits cooperation among many cognitive users is investigated.

摘要:出现了一些新系统的实施挑战,其涉及认知无线电——具有感知频谱环境下的传输参数既适应能力和灵活性,以最大限度地提高系统容量,同时并存于传统无线网络。关键设计问题是需要处理多千兆赫宽的带宽,可靠地检测主用户的存在。这对灵敏度,线性度和在RF前端电路的动态范围有严格要求。为了通过处理增益而提高无线电灵敏度,我们调查了三种数字信号处理技术的感测功能:匹配滤波,能量检测和循环平稳特征检测。我们的分析表明:由于能够区分调制信号,干扰和噪声在低信噪比,循环平稳特征检测更有优势。此外,为了进一步提高检测的可靠性,MAC协议,它利用在许多认知用户合作的优势已经在这一块研究很久了。

I. INTRODUCTION

一、介绍

1.

It is commonly believed that there is a spectrum scarcity at frequencies that can be economically used for wireless communications. This concern has arisen from the intense competition for use of spectra at frequencies below 3 GHz. The Federal Communications Commission’s (FCC) frequency allocation chart indicates overlapping allocations over all of the frequency bands, which reinforces the scarcity mindset. On the other hand, actual measurements taken in downtown Berkeley are believed to be typical and indicate low utilization, especially in the 3-6 MHz bands. Figure 1 shows the power spectral density (PSD) of the received 6 GHz wide

signal collected for a span of 50μs sampled at 20 GS/s [12]. This view is supported by recent studies of the FCC’s Spectrum Policy Task Force who reported [1] vast temporal and geographic variations in the usage of allocated spectrum with utilization ranging from 15% to 85%. In order to utilize these spectrum ‘white spaces’, the FCC has issued a Notice of Proposed Rule Making (NPRM –FCC 03-322 [2]) advancing Cognitive Radio (CR) technology as a candidate to implement negotiated or opportunistic spectrum sharing.

人们普遍认为,有一个频谱稀缺的频率,可以经济地用于无线通信。从使用3 GHz以下频率光谱的激烈竞争开始,它就越来越受到关注。美国联邦通信委员会(FCC)的频率分配图表显示所有频段都有重叠的分配,这加强了稀缺的现状。另一方面,在伯克利市中心采取的实际测量被认为是典型的实验结果,从中指出频谱利用率低,特别是在3-6 MHz频段。图1

显示接收到的6千兆赫的功率谱密度(PSD)宽信号,50μs的采样在20 GS / s的的一个跨度。这种观点是最近FCC的频谱政策任务组的研究报告,报告称浩瀚时空和地域变化在分配的频谱利用率介乎15%至85%的使用。为了利用这些频谱'空白',FCC已发出建议规则制定的通知(NPRM - FCC03-322[2])推进认知无线电(CR)技术,以实现协商或伺机频谱共享的候选人。

2.

Wireless systems today are characterized by wasteful static spectrum allocations, fixed radio functions, and limited network coordination. Some systems in unlicensed frequency bands have achieved great spectrum efficiency, but are faced with increasing interference that limits network capacity and scalability. Cognitive radio systems offer the opportunity to use dynamic spectrum management techniques to help prevent interference, adapt to immediate local spectrum availability by creating time and location dependent in “virtual unlicensed bands”, i.e. bands that are shared with primary users. Unique to cognitive radio operation is the requirement that the radio is able to sense the environment over huge swaths of spectrum and adapt to it since the radio does not have primary rights to any pre-assigned frequencies. This new radio functionality will involve the design of various analog, digital, and network processing techniques in order to meet challenging radio sensitivity requirements and wideband frequency agility.

现在无线系统的特点是浪费的静态频谱分配,固定无线功能,以及有限的网络协调。在未经许可的频带一些系统已经取得了很大的频谱效率,但都面临着限制的网络容量和可扩展性增加的干扰。认知无线电系统提供使用动态频谱管理技术,以帮助防止干扰,通过创建时间和位置相关的“虚拟免授权频段”,适应当地的即时频谱可用性的机会,例如与主要用户共享频段。独特的认知无线电操作是有需要的,它使无线电能够通过频谱巨大的大片感知环境,并适应它,纵然无线电对任何预指配频率没有基本权利。这种新的无线功能将涉及各种模拟设计,数字化和网络处理技术,以满足具有挑战性的射频灵敏度的要求和宽带频率捷变。

3.

Spectrum sensing is best addressed as a cross-layer design problem. Cognitive radio sensitivity can be improved by enhancing radio RF front-end sensitivity, exploiting digital signal processing gain for specific primary user signal, and network cooperation where users share their spectrum sensing measurements.

频谱感知在跨层设计问题上是最好的方法。认知无线电的灵敏度可以通过增强无线电射频前端的灵敏度,利用数字信号处理增益为特定主用户信号,以及网络合作,用户共享他们的频谱感测的测量得到改善。

4.

The paper is organized as follows; Section II defines spectrum sensing function and proposes a cross-layer approach for its implementation. Section III considers RF front-end and A/D requirements for spectrum sensing and analog techniques for feasible implementations. In section IV we investigate digital signal processing techniques that can improve radio sensitivity and detect primary users’presence. Section V presents the results from a cooperative sensing scheme, achievable gains and implementation issues. Finally, conclusions are presented in Section VI.

本文结构如下,第二部分定义频谱感知功能,并提出了实施一个跨层的方法。第三部分讨论频谱感知的射频前端,后端和A / D的要求,与可实现的模拟技术。在第四部分中,我们研究,可以提高无线电灵敏度和检测主用户的存在的数字信号处理技术。第五部分提出了从协作感知方案,可实现收益和实施问题的结果。最后,结论载于第六部分。

II. SPECTRUM SENSING

二、频谱感知

1.

A “Cognitive Radio”is a radio that is able to sense the spectral environment over a wide frequency band and exploit this information to opportunistically provide wireless links that best meet the user communications requirements [2]. While many other characteristics have also been discussed as possible additional capabilities, we will use this more restricted definition and consider physical (PHY) and medium access control (MAC) functions that are linked to spectrum sensing as illustrated in Figure 2

认知无线电是一种无线电,它能够感觉到在很宽的频带内的频谱环境,并利用这些信息来投机提供最能满足用户的通信需求的无线链路。在许多其他特性也已讨论过作为可能的附加功能时,我们将使用这个更受限制的定义,并考虑物理层(PHY)和介质访问控制(MAC)功能链接到频谱感测,如图2

2.

Since cognitive radios are considered lower priority or secondary users of spectrum allocated to a primary user, a fundamental requirement is to avoid interference to potential primary users in their vicinity. On the other hand, primary user networks have no requirement to change their infrastructure for spectrum sharing with cognitive networks. Therefore, cognitive radios should be able to independently detect primary user presence through continuous spectrum sensing. For example, TV broadcast signals are much easer to detect than GPS signals, since the TV receivers’sensitivity is tens of dBs worse than GPS receiver.

由于认知无线电被认为是低优先级或分配给主用户频谱的二级用户,一个基本要求是,避免附近的有潜力的主要用户的干扰。另一方面,主用户网络具有不要求改变他们与认知网络频谱共享的基础设施。因此,认知无线电应该能够通过不断的频谱感知独立检测主用户的存在。例如,广播电视信号更容易比GPS信号来检测,因为电视接收器的灵敏度是几十分贝比GPS 接收器差。

3.

In general, cognitive radio sensitivity should outperform primary user receiver by a large margin in order to prevent what is essentially a hidden terminal problem. This is the key issue that makes spectrum sensing very challenging research problem. Meeting the sensitivity requirement of each primary receiver with a wideband radio would be difficult enough, but the problem becomes even more challenging if the sensitivity requirement is raised by additional 30-40 dB. This margin is required because cognitive radio does not have a direct measurement of a channel between primary user receiver and transmitter and must base its decision on its local channel measurement to a primary user transmitter. This type of detection is referred to as local spectrum sensing and the worst case hidden terminal problem would occur when the cognitive radio is shadowed, in severe multipath fading, or inside buildings with high penetration loss while in a close neighborhood there is a primary user whose is at the marginal reception, due to its more favorable channel conditions. Even though the probability of this scenario is low, cognitive radio should not cause interference to such primary user.

一般情况下,认知无线电灵敏度应远远胜过主用户接收器,为的是防止出现隐藏终端问题。这是使频谱感知非常具有挑战性的研究课题的关键问题。满足每个主接收器的灵敏度要求,宽带无线电将难以足够了,但如果灵敏度的要求是提出额外的30-40分贝的问题就变得更加具有挑战性。这个利润率是必需的,因为认知无线电没有直接测量主用户接收机和发射机之间的信道,并且必须立足其上的本地信道测量决定主要用户发送。这种类型的检测被称为本地频谱检测和当认知无线电是阴影,在严重的多径衰落会发生隐藏终端问题的最坏的情况下,在严重的多径衰落,或内部具有高穿透损耗的物体,而在一个近邻域有一个主要用户,其是在边缘接收,由于其更有利的信道条件。即使这种情况的概率较低,认知无线电应该不会对这样的主用户造成干扰。

4.

The implementation of the spectrum sensing function also requires a high degree of flexibility since the radio environment is highly variable, both because of different types of primary user systems, propagation losses, and interference. The main design challenge is to define RF and analog architecture with right trade-offs between linearity, sampling rate, accuracy and power, so that digital signal processing techniques can be utilized for spectrum sensing, cognition, and

adaptation. This also motivates research of signal processing techniques that can relax challenging requirements for analog, specifically wideband amplification, mixing and A/D conversion of over a GHz or more of bandwidth, and enhance overall radio sensitivity.

频谱检测功能的实现也需要高度灵活性,由于无线环境是高度可变,另一个原因是不同类型的主用户系统中存在传播损耗和干扰。主要的设计挑战是定义射频和模拟结构与线性,采样率,精度和功率之间权利权衡,以使数字信号处理技术可被用于频谱感知,认知和适应。这也促使了可以放宽对模拟的,特别宽频带放大,混合和超过带宽的GHz或多个A/ D转换的挑战性的要求,提高整体的无线电灵敏度的信号处理技术的研究。

III. COGNITIVE RADIO FRONTEND

三、认知无线电前端

1.

There are two frequency bands where the cognitive radios might operate in a near future: 400-800 MHz (UHF TV bands) and 3-10 GHz. The FCC has noted that in the lower UHF bands almost every geographical area has several unused 6 MHz wide TV channels. This frequency band is particularly appealing due to good propagation properties for long-range communications. Furthermore, given the static TV channel allocations, the timing requirements for spectrum sensing are very relaxed. The FCC approval of UWB underlay networks in 3-10 GHz indicates that this frequency range might be opened for opportunistic use. Furthermore, this band has very low spectral utilization, as indicated in Figure 1.

有两个频带,其中的认知无线电设备可能在不久的将来操作:400-800MHz的(UHF电视频段)和3-10千兆赫。美国联邦通信委员会已经注意到,在较低的UHF频段几乎每一个地区有几个未使用的6 MHz宽的电视频道。该频段是由于远距离通信良好的传播特性特别有吸引力。此外,鉴于静态电视频道的分配,对时序要求频谱感知是很轻松的。FCC认证表明在3-10 GHz的超宽带底层网络,该频率范围内可能会开始使用。此外,该带具有非常低的频谱利用,如图1所示。

2.

Regardless of operating frequency range, a wideband front-end for a cognitive radio could have an architecture as depicted in Figure 3. The wideband RF signal presented at the antenna of a cognitive radio includes signals from close and widely separated transmitters and from transmitters operating at widely different power levels and channel bandwidths. As a result, detection of weak signals must frequently be performed in the presence of very strong signals. Thus, there will be extremely stringent requirements placed on the linearity of the RF analog circuits as well as their ability to operate over wide bandwidths. In order to keep the requirements on the final analog to digital (A/D) converter at a reasonable level in a mostly digital architecture, front-end design needs a tunable notch analog processing block that would provide a dynamic range control.

不论工作频率范围,宽带前端的认知无线电可以有一个体系结构,如图3所示。在认知无线电的天线提出的宽带射频信号包括从密切和广泛分离发射器和在广泛的不同功率级别和信道带宽操作发射器的信号。其结果,必须频繁地在非常强的信号的存在下进行检测微弱信号。因此,将对RF模拟电路的线性度,以及电路工作在宽的带宽的能力提出极为严格的要求。为了保持对最终模拟的要求,它需要模数(A/ D)转换器处在一个多数字结构合理水平,所

以前端设计需要一个可调陷波模拟处理模块以提供动态范围控制。

3.

Reducing the in-band interference to a manageable level is a critical design problem, since the traditional strategy of narrow band analog frequency selective filtering to avoid the wide dynamic range of interfering signals is not viable. The ultimate solution to this problem would involve a combination of techniques, including adaptive notch filtering such as employed in UWB designs, banks of on chip RF filters possibly using MEMS technology such as FBAR’s, and spatial filtering using RF beam-forming through adaptive antenna arrays. Other more sophisticated approaches could involve active cancellation, because in the situation in which the interfering signal is extremely strong, it is then possible to decode the signal and provide an active canceling signal before the A/D conversion process. While the active cancellation approach will consume significantly more hardware, it has the important advantage of ultimately being more flexible.

减少了带内干扰到一个可管理的水平是一个关键的设计问题,因为窄带模拟频率选择性滤波的传统策略,以避免干扰信号是不可行的宽动态范围。最终解决这一问题将涉及的技术的组合,包括自适应陷波滤波器,如在超宽带设计采用,对芯片射频银行滤波器可能使用MEMS 技术,如FBAR的,并使用通过自适应天线阵列射频波束形成空间滤波。其它更复杂的方法可涉及有源取消,因为在干扰信号是非常强的情况下,那么有可能对信号进行解码,并在A / D转换处理前提供一个有源抵消信号。而活性消除方法会消耗显著更多的硬件,它具有最终处理更灵活的重要优势。

4.

The spatial dimension provides several new opportunities. The sensitivity of the sensing receiver can be increased by the exploitation of multiple antennas through diversity increase and range extension, which in effect could make it much more sensitive than the primary users which it is trying to detect.

空间维度提供了一些新的机遇。传感接收器的灵敏度的增强可以通过减少多个天线来实现,这是因为多样性的增加和范围扩大,这实际上可能使比它试图检测主用户来说更加敏感。

IV. SIGNAL PROCESSING TECHNIQUES FOR SPECTRUM SENSING

四、频谱感知的信号处理技术

1.

A key advantage of CMOS integration is that digital signal processing can be used to assist the analog circuits. In case of spectrum sensing the need for signal processing is two-fold: improvement of radio front-end sensitivity by processing gain and primary user identification

based on knowledge of the signal characteristics. In this section we discuss advantages and disadvantages of three techniques that are used in traditional systems: matched filter, energy detector and cyclostationary feature detector.

CMOS集成的一个主要优点是,数字信号处理可以用来协助模拟电路。在频谱感知需要的信号处理是双重的情况下:通过处理增益和主用户基于信号特征知识的识别,无线电前端灵敏度有所进步。在本节中,我们讨论用于传统系统的三种技术的优点和缺点:匹配滤波器,能量检测和循环平稳特征检测器。

2.

A. Matched Filter

The optimal way for any signal detection is a matched filter,since it maximizes received signal-to-noise ratio. However, a matched filter effectively requires demodulation of a primary user signal. This means that cognitive radio has apriori knowledge of primary user signal at both PHY and MAC layers, e.g. modulation type and order, pulse shaping, packet format. Such information might be pre-stored in CR memory, but the cumbersome part is that for demodulation it has to achieve coherency with primary user signal by performing timing and carrier synchronization, even channel equalization. This is still possible since most primary users have pilots, preambles, synchronization words or spreading codes that can be used for coherent detection. For examples: TV signal has narrowband pilot for audio and video carriers; CDMA systems have dedicated spreading codes for pilot and synchronization channels; OFDM packets have preambles for packet acquisition. The main advantage of matched filter is that due to coherency it requires less time to achieve high processing gain since only O(1/SNR) samples are needed to meet a given probability of detection constraint. However, a significant drawback of a matched filter is that a cognitive radio would need a dedicated receiver for every primary user class.

A.匹配滤波器

对于任何信号检测的最佳方法是一个匹配滤波器,因为它最大化接收到的信号噪声比。然而,匹配滤波器十分需要主用户信号的解调。这意味着,认知无线电有主用户信号的先验知识,在两个PHY和MAC层,例如调制类型和顺序,脉冲整形,报文格式。这样的信息可能被预先存储在认知无线电的记忆模块,但是繁琐的部分是,对于解调,它不得不通过执行定时和载波同步,即使信道均衡,来实现与主用户信号的相干性。这仍然是可能的,因为大多数主要用户具有导频,前导码,同步字或扩散可用于相干检测的代码。举例来说:电视信号为了音频和视频运营商装上了窄带试点,CDMA系统为了飞行员和同步信道装上了扩频码; OFDM包为了数据包采集装上了前导码。匹配滤波器的主要优点是,由于一致性它需要更少的时间,以实现高处理增益,因为只需要O(1/SNR)需要的样品,以满足检测条件约束的给定概率。然而,匹配滤波器的显著缺点是认知无线电将需要一个专用的接收器,用于每一级用户类。

3.

B. Energy Detector

One approach to simplify matched filtering approach is to perform non-coherent detection through energy detection. This sub-optimal technique has been extensively used in radiometry. An energy detector can be implemented similar to a spectrum analyzer by averaging frequency bins of a Fast Fourier Transform (FFT), as outlined in Figure 4.Processing gain is proportional to FFT size N

and observation/averaging time T. Increasing N improves frequency resolution which helps narrowband signal detection. Also, longer averaging time reduces the noise power thus improves SNR. However, due to non-coherent processing O(1/SNR2) samples are required to meet a probability of detection constraint.

B.能量检测

简化匹配滤波的一种方法是通过能量检测来执行非相干检测。这种次优的技术已被广泛地用于辐射。一个能量检测器可以实现类似于用频谱分析仪的功能,通过平均快速傅立叶变换(FFT)的频率箱,如在图4中列出。处理增益和FFT大小N和观察/平均时间T成正比。增加N可以提高频率分辨率,频率分辨率有助于窄带信号检测。另外,较长的平均时间减少了噪声功率从而提高信噪比。然而,由于非相干处理为O(1/SNR2)样本必须符合检测约束的概率。

4.

There are several drawbacks of energy detectors that might diminish their simplicity in implementation. First, a threshold used for primary user detection is highly susceptible to unknown or changing noise levels. Even if the threshold would be set adaptively, presence of any in-band interference would confuse the energy detector. Furthermore, in frequency selective fading it is not clear how to set the threshold with respect to channel notches. Second, energy detector does not differentiate between modulated signals, noise and interference. Since, it cannot recognize the interference, it cannot benefit from adaptive signal processing for canceling the interferer. Furthermore, spectrum policy for using the band is constrained only to primary users, so a cognitive user should treat noise and other secondary users differently. Lastly, an energy detector does not work for spread spectrum signals: direct sequence and frequency hopping signals, for which more sophisticated signal processing algorithms need to be devised. In general, we could increase detector robustness by looking into a primary signal footprint such as modulation type, data rate, or other signal feature.

能量探测器也有一些缺点,可能削弱它实现简单这个特点。首先,用于主用户检测的阈值很容易受到未知的或变化的噪声电平影响。即使阈值将被自适应地设置,任何带内干扰的存在会使能量检测器产生混淆。此外,在频率选择性衰落的时候,不清楚如何相对于信道槽口设置阈值。其次,能量检测器不能把调制信号,噪声和干扰区分开来。由于它不能识别干扰,它不能从自适应信号处理中获益用于消除干扰。此外,对于使用带宽的频谱政策仅仅限于初级用户,所以认知用户应区别对待噪音等二次用户。最后,能量检测器并不用于扩频信号的工作:直接序列和跳频信号,跳频信号是设计出来更复杂的信号处理算法。大体上,我们可以通过寻找到一个主信号足迹例如调制类型,数据速率,或其他信号特征量增加检测的稳健性。

5.

C. Cyclostationary Feature Detection

Modulated signals are in general coupled with sine wave carriers, pulse trains, repeating spreading, hoping sequences, or cyclic prefixes which result in built-in periodicity. Even though the data is a stationary random process, these modulated signals are characterized as cyclostationary, since their statist ics, mean and autocorrelation, exhibit periodicity.This periodicity is typically introduced intentionally in the signal format so that a receiver can exploit it for:parameter estimation such as carrier phase, pulse timing, or direction of arrival. This can then be used for detection of a random signal with a particular modulation type in a background of noise and other modulated signals.

C.循环平稳特征检测

调制信号一般都加上正弦波,脉冲串,重复传播,希望序列,或导致内置的周期性的循环前缀。即使数据是平稳随机过程,这些调制信号的特征为循环平稳,因为它们的统制集成电路,均值和自相关,表现出周期性。这个周期典型引入了已经想好的信号格式,以便接收机可以利用它进行参数估计诸如载波相位,脉冲定时,或到达的方向。这可以被用于检测在噪声和其它的调制信号背景下、特定调制类型的随机信号。

6.

Common analysis of stationary random signals is based on autocorrelation function and power spectral density. On the other hand, cyclostationary signals exhibit correlation between widely separated spectral components due to spectral redundancy caused by periodicity. By analogy with the definition of conventional autocorrelation, one can define spectral correlation function (SCF):

where finite time Fourier transform is given by:

Spectral correlation function is also termed as cyclic spectrum.Unlike PSD which is real-valued one dimensional transform, the SCF is two dimensional transform, in general complex-valued and the parameter αis called cycle frequency. Power spectral density is a special case of a spectral correlation function for α=0.

平稳随机信号的通用分析是基于自相关函数和功率谱密度。另一方面,由于周期性致使的频谱冗余,广泛分离的光谱分量之间循环平稳信号表现出相关性。用类似于传统的自相关的定义,可以定义谱相关函数(SCF):

其中,有限时间傅立叶变换由下式给出:

谱相关函数也被称为环状频谱.不像PSD是实值的1维变换,SCF是2维变换,一般复值和

参数α被称为循环次数。功率谱密度是一个谱相关函数为α= 0的特殊情况。

7.

The distinctive character of spectral redundancy makes signal selectivity possible. Signal analysis in cyclic spectrum domain preserves phase and frequency information related to timing parameters in modulated signals. As a result, overlapping features in the power spectrum density are non-overlapping feature in the cyclic spectrum. Different types of modulated signals (such as BPSK, QPSK, SQPSK) that have identical power spectral density functions can have highly distinct spectral correlation functions. Furthermore, stationary noise and interference exhibit no spectral correlation.

光谱冗余的独特性使得信号的选择性成为可能。在循环谱域信号分析中,保留与调制信号时序参数相关的相位和频率信息。其结果是,在功率谱密度的重叠特性在循环频谱是非重叠特性。不同类型的调制信号(例如BPSK,DPSK,QPSK),它们都具有相同的功率谱密度函数,可以有高度不同的谱相关函数。此外,平稳噪声和干扰没有表现出谱相关。

8.

Implementation of a spectrum correlation function for cyclostationary feature detection is depicted in Figure 5. It can be designed as augmentation of the energy detector from Figure 4 with a single correlator block. Detected features are number of signals, their modulation types, symbol rates and presence of interferers. Figure 6 illustrates the advantages of cyclostationary detection versus energy detection for continuous phase 4-FSK modulated signals. Distinct pattern of 4-FSK modulation in a spectral correlation function is preserved even in low SNR=-20dB while energy detector is limited by the large noise.

循环平稳特征检测频谱相关函数的实现描绘在图5中。它可被设计为用单个相关模块实现图4中能量检测器的增强。检测到的特征是信号的数字,调制类型,符号率和干扰的存在。图6示出循环平稳检测与能量检测的优势为连续相位4-FSK调制信号。4-FSK调制的谱相关函数不同的图案被保留下来,即使在低信噪比(SNR),20分贝,而能量检测器有大噪声的限制。

9.

Signal processing techniques studied in this paper motivate the need to study other feature detection techniques that can improve sensing detection and recognize modulation, number and type of signals in a low SNR regimes.

本文研究了信号处理技术激励需要研究其他特征检测技术,可以提高感知检测和识别很多不同信号类型的在低信噪比的调制。

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