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arXiv cs/0501062cs.ITmath.IT
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两类加工增益的权衡

On The Tradeoff Between Two Types of Processing Gain

Eran Fishler, H. Vincent Poor

摘要:

几乎每个多址(MA)通信系统的特征之一是处理增益。随机码分多址系统(RCDMA)通过扩频序列的使用,将处理增益用于带宽扩展和不同用户发送的信号的正交化。另一种类型的多址系统是脉冲无线电(IR)。在许多方面,IR系统类似于时分多址(TDMA)系统,并且IR系统的处理增益表示实际传输时间与两个连续传输之间的总时间之间的比率(开加关与开比率)。不断激励信道的CDMA系统依赖于扩展序列来使不同用户发送的信号正交化,而IR系统发送一系列短脉冲,并且不同用户发送的信号之间的正交化是通过大多数脉冲来实现的。在接收机处彼此不冲突。在本文中,一般类的MA通信系统,使用这两种类型的处理增益,IR和RCDMA系统被证明是两个特殊情况下,这类更一般的系统。在系统总处理增益较大且固定的约束条件下,分析比较了几种接收机的出错率(BER)随两种处理增益之比的变化关系。它表明,在非符号间干扰(ISI)的信道中,有两种类型的处理增益之间没有折衷。然而,在ISI信道中,存在两种类型的处理增益之间的折衷。此外,RCDMA系统在频率选择性信道中的次最优性。

英文摘要:

One of the features characterizing almost every multiple access (MA) communication system is the processing gain. Through the use of spreading sequences, the processing gain of Random CDMA systems (RCDMA), is devoted to both bandwidth expansion and orthogonalization of the signals transmitted by different users. Another type of multiple access system is Impulse Radio (IR). In many aspects, IR systems are similar to time division multiple access (TDMA) systems, and the processing gain of IR systems represents the ratio between the actual transmission time and the total time between two consecutive ransmissions (on-plus-off to on ratio). While CDMA systems, which constantly excite the channel, rely on spreading sequences to orthogonalize the signals transmitted by different users, IR systems transmit a series of short pulses and the orthogonalization between the signals transmitted by different users is achieved by the fact that most of the pulses do not collide with each other at the receiver. In this paper, a general class of MA communication systems that use both types of processing gain is presented, and both IR and RCDMA systems are demonstrated to be two special cases of this more general class of systems. The bit error rate (BER) of several receivers as a function of the ratio between the two types of processing gain is analyzed and compared under the constraint that the total processing gain of the system is large and fixed. It is demonstrated that in non inter-symbol interference (ISI) channels there is no tradeoff between the two types of processing gain. However, in ISI channels a tradeoff between the two types of processing gain exists. In addition, the sub-optimality of RCDMA systems in frequency selective channels is established.

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