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KR101034949B1 - Performance Analysis Method of CS System According to Tone Jamming Signal - Google Patents

Performance Analysis Method of CS System According to Tone Jamming Signal Download PDF

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KR101034949B1
KR101034949B1 KR1020080116160A KR20080116160A KR101034949B1 KR 101034949 B1 KR101034949 B1 KR 101034949B1 KR 1020080116160 A KR1020080116160 A KR 1020080116160A KR 20080116160 A KR20080116160 A KR 20080116160A KR 101034949 B1 KR101034949 B1 KR 101034949B1
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KR20100057222A (en
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이영포
윤석호
정다해
이영윤
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성균관대학교산학협력단
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/20—Arrangements for detecting or preventing errors in the information received using signal quality detector
    • H04L1/203—Details of error rate determination, e.g. BER, FER or WER
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
    • H04K3/00—Jamming of communication; Counter-measures
    • H04K3/80—Jamming or countermeasure characterized by its function
    • H04K3/82—Jamming or countermeasure characterized by its function related to preventing surveillance, interception or detection
    • H04K3/825—Jamming or countermeasure characterized by its function related to preventing surveillance, interception or detection by jamming
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/3405—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
    • H04L27/3416—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power in which the information is carried by both the individual signal points and the subset to which the individual points belong, e.g. using coset coding, lattice coding, or related schemes
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69—Spread spectrum techniques
    • H04B2001/6912—Spread spectrum techniques using chirp

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  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)

Abstract

본 발명은 M진 위상 편이 방식을 MPSK 데이터 변조 방식으로 채택한 직접 변조 방식의 첩 확산 대역 기반 통신 시스템을 모델로 하여, 톤 재밍 환경에서 DM-MPSK의 심벌 오류율 성능을 분석하는 방법 및 유도된 수식에 관한 것이다.The present invention is a model of a direct-modulation chirped spread-band based communication system employing the M-ary phase shift method as the MPSK data modulation method, and a method for analyzing the symbol error rate performance of the DM-MPSK in a tone jamming environment and derived equations. It is about.

본 발명에 따르는 톤 재밍 신호에 따른 CSS 시스템의 성능 분석 방법은 CSS 시스템의 송신기에서 업-첩 필터를 통과시켜 송신신호를 모형화하는 단계; 수신신호를 모형화된 상기 송신신호와 재밍 신호의 합으로 모형화하는 단계; 상기 모형화한 수신신호가 다운-첩 필터를 통과한 출력신호를 신호공간에서 모형화하는 단계; 및 상기 CSS 시스템에서 닫힌꼴 SER 수식을 유도하는 단계;를 포함하는 것을 구성적 특징으로 한다.According to an aspect of the present invention, there is provided a method of analyzing a performance of a CSS system according to a tone jamming signal. Modeling a received signal as the sum of the modeled transmission signal and jamming signal; Modeling an output signal in which the modeled received signal has passed through a down-chipping filter in a signal space; And deriving a closed SER equation in the CSS system.

DM-MPSK, 업-첩 필터, 다운-첩 필터, 톤 재밍 신호 DM-MPSK, Up-Clap Filter, Down-Clap Filter, Tone Jamming Signal

Description

톤 재밍 신호에 따른 ＣＳＳ시스템의 성능 분석 방법{METHOD OF ANALYZING PERFORMANCE OF CSS SYSTEM IN THE PRESENCE OF TONE JAMMING SIGNAL}Method of performance analysis of CS system according to tone jamming signal {METHOD OF ANALYZING PERFORMANCE OF CSS SYSTEM IN THE PRESENCE OF TONE JAMMING SIGNAL}

본 발명은 M진 위상 편이 방식을 MPSK (-ary phase shift keying) 데이터 변조 방식으로 채택한 직접 변조 (direct modulation, DM) 방식의 첩 확산 대역 (chirp spread spectrum, CSS) 기반 통신 시스템을 (DM-MPSK) 시스템 모델로 하여, 톤 재밍 (tone jamming) 환경에서 DM-MPSK의 심벌 오류율 (symbol error rate: SER) 성능을 분석하는 방법 및 유도된 수식에 관한 것이다.The present invention is a direct modulation (DM) based chirp spread spectrum (CS) based communication system employing M-ary phase shift keying as the MPSK (-ary phase shift keying) data modulation method (DM-MPSK). As a system model, the present invention relates to a method for analyzing the symbol error rate (SER) performance of DM-MPSK in a tone jamming environment and derived equations.

CSS 기술은 첩 신호를 매우 좁은 펄스 형태의 신호로 압축함으로써 높은 처리 이득을 얻는 확산 대역 기법이다. 이러한 CSS 기술은 대역 효율이 좋고, 다중 경로 페이딩과 재밍 신호에 강한 특성으로 인하여 무선 통신 분야에서 크게 주목 받고 있다. 최근에는 전기전자기술자협회에서 (institute of electrical and electronics engineers: IEEE) 저속의 개인영역무선통신 (wireless personal area network, WPAN) 시스템을 위한 표준인 802.15.4a의 물리 계층 표준 기술로 CSS를 채택하였고, 현재 표준화가 진행 중인 802.15.4c에서도 중국 내에서 사용될 WPAN 시스템에 MPSK 또는 오프셋 직교 위상 편이 변조 (offset quadrature phase shift keying, OQPSK)를 결합한 CSS 기술을 사용하는 것을 고려하고 있다.CSS technology is a spread-band technique that obtains high processing gain by compressing a chirp signal into a very narrow pulse. Such CSS technology has attracted much attention in the field of wireless communication due to its good bandwidth efficiency and strong characteristics of multipath fading and jamming signals. In recent years, the Institute of Electrical and Electronics Engineers (IEEE) has adopted CSS as the 802.15.4a physical layer standard technology, a standard for low-speed wireless personal area network (WPAN) systems. 802.15.4c, which is currently being standardized, is considering using CSS technology that combines MPSK or offset quadrature phase shift keying (OQPSK) with WPAN systems for use in China.

J. Pinkley의 논문 "Low Complexity Indoor Wireless Data Links Using Chirp spread spectrum,"에 따르면, CSS 기술은 변조 과정에서 첩 신호를 어떻게 이용하는가에 따라 이진직교변조 (binary orthogonal keying, BOK) 방식과 직접 변조 (direct modulation, DM) 방식의 두 가지로 분류될 수 있다. BOK 방식은 첩 신호를 사용하여 데이터를 표현하는 방식이다. 예를 들어 비트 "0"과 "1"을 전송하기 위하여, 각각 양과 음의 순간주파수 변화율을 가지는 첩 신호를 전송할 수 있다. 반면에 DM 방식은 첩 신호를 확산 기능을 담당하는 부호로만 사용하며, 첩 처리 과정이 데이터 변복조 과정과 분리되어 독립적으로 수행된다. 따라서 DM 방식은 다양한 데이터 변조 기법을 채택하여 사용될 수 있다.According to J. Pinkley's paper "Low Complexity Indoor Wireless Data Links Using Chirp spread spectrum," CSS technology uses binary orthogonal keying (BOK) and direct modulation (depending on how the chirp signal is used in the modulation process). Direct modulation (DM) can be classified into two types. The BOK method is a method of expressing data using a chirp signal. For example, in order to transmit bits "0" and "1", a chirp signal having a positive and negative instantaneous frequency change rate may be transmitted. On the other hand, the DM method uses a chirp signal only as a code for spreading function, and the chirp processing process is performed independently from the data modulation / demodulation process. Therefore, the DM scheme may be used by adopting various data modulation techniques.

하지만 이러한 CSS 기법에 대하여, 종래의 발명들은 첩 신호를 이용한 무선 전송 방법 및 그 방법의 실행을 위한 장치 등에 대해서만 개시하고 있을 뿐, 재밍 환경에서의 첩 시스템의 성능 측정을 위한 방법에 대해서는 개시하지 않고 있으며, 따라서 실제 시스템의 디자인에 있어 실제 환경을 충분히 반영하지 못하는 문제점이 발생하게 된다.However, with respect to such a CSS technique, the related arts only disclose a wireless transmission method using a chirp signal and an apparatus for executing the method, but do not disclose a method for measuring the performance of a chirp system in a jamming environment. Therefore, there is a problem that does not sufficiently reflect the actual environment in the design of the actual system.

본 발명은 상기와 같은 문제점을 해결하기 위해 안출된 것으로, 본 발명의 목적은 실제 CSS 시스템의 디자인에 있어 재밍 환경에서 CSS의 심벌 오류율 성능을 분석함으로써, 정확한 성능 수치를 수식을 통하여 미리 계산하고 시스템 디자인에 반영하는 방법을 제공하는 것이다.The present invention has been made to solve the above problems, and an object of the present invention is to analyze the symbol error rate performance of the CSS in the jamming environment in the design of the actual CSS system, to calculate the exact performance value in advance through the formula and It is to provide a way to reflect in the design.

본 발명의 또 다른 목적은 MPSK를 데이터 변조 방식으로 채택한 DM 방식의 CSS 기반 통신 시스템을 (DM-MPSK) 시스템 모델로 하여, 톤 재밍 환경에서 DM-MPSK의 SER 성능을 분석하는 방법을 제공하는 것이다.It is still another object of the present invention to provide a method for analyzing SER performance of DM-MPSK in a tone jamming environment by using a DM-based CSS based communication system (DM-MPSK) as a system model using MPSK as a data modulation scheme. .

상기와 같은 목적을 달성하기 위하여, 본 발명에 따르는 톤 재밍 신호에 따른 CSS 시스템의 성능 분석 방법은 CSS 시스템의 송신기에서 업-첩 필터를 통과시켜 송신신호를 모형화하는 단계; 수신신호를 모형화된 상기 송신신호와 재밍 신호의 합으로 모형화하는 단계; 상기 모형화한 수신신호가 다운-첩 필터를 통과한 출력신호를 신호공간에서 모형화하는 단계; 및 상기 CSS 시스템에서 닫힌꼴 SER 수식을 유도하는 단계;를 포함하는 것을 구성적 특징으로 한다.In order to achieve the above object, the performance analysis method of the CSS system according to the tone jamming signal according to the present invention comprises the steps of modeling the transmitted signal by passing the up-up filter in the transmitter of the CSS system; Modeling a received signal as the sum of the modeled transmission signal and jamming signal; Modeling an output signal in which the modeled received signal has passed through a down-chipping filter in a signal space; And deriving a closed SER equation in the CSS system.

본 발명에 따르는 톤 재밍 신호에 따른 CSS 시스템의 성능 분석 방법은 톤 재밍 환경에서 CSS 통신 시스템의 신호 모형을 분석함으로써 SER 분석 방법 및 성능 수식을 제공한다. The performance analysis method of a CSS system according to a tone jamming signal according to the present invention provides a SER analysis method and a performance equation by analyzing a signal model of a CSS communication system in a tone jamming environment.

본 발명에 따르는 톤 재밍 신호에 따른 CSS 시스템의 성능 분석 방법에 의해 유도된 심볼 오류율 수식은 모의실험 결과 값과 일치하며, 매우 정확한 값을 갖는다. The symbol error rate equations derived by the performance analysis method of the CSS system according to the tone jamming signal according to the present invention coincide with the simulation result and have a very accurate value.

본 발명에 따르는 톤 재밍 신호에 따른 CSS 시스템의 성능 분석 방법 및 심벌 오류율 수식은 CSS 시스템 디자인에서 실제 환경을 고려하는데 유용하게 이용할 수 있다.The performance analysis method and symbol error rate equation of the CSS system according to the tone jamming signal according to the present invention can be usefully used to consider the actual environment in the CSS system design.

첩 신호의 저역통과 등가 (lowpass equivalent) 형태

Figure 112008080355564-pat00001
는 다음의 수학식1과 같이 표현된다.Lowpass equivalent form of concubine signal
Figure 112008080355564-pat00001
Is expressed by Equation 1 below.

Figure 112008080355564-pat00002
Figure 112008080355564-pat00002

여기서

Figure 112008080355564-pat00003
와 μ(μ≠0)는 각각 첩 신호 구간과 첩 신호의 순간주파수 변화율 (chirp rate)을 나타낸다. μ > 0인 경우 첩 신호의 순간주파수는 시간에 따라 증가하며 이를 업-첩(up-chirp) 신호라 한다. 반면에, μ < 0 인 경우 순간주파수는 시간에 따라 감소하며 이를 다운-첩 (down-chirp) 신호라 한다.here
Figure 112008080355564-pat00003
And μ (μ ≠ 0) represent the chirp signal interval and chirp rate of the chirp signal, respectively. If μ> 0, the instantaneous frequency of the chirp signal increases with time and is called an up-chirp signal. On the other hand, when μ <0, the instantaneous frequency decreases with time and is called a down-chirp signal.

도 1은 일반적인 DM-MPSK 시스템의 구조를 나타낸다. 입력 데이터는 MPSK 성좌도에 맵핑되고 매

Figure 112008080355564-pat00004
마다 중간주파수 (intermediate frequency, IF)의 짧은 펄 스로 변조된다. 이렇게 위상 변조된 IF 펄스를 임펄스 응답이
Figure 112008080355564-pat00005
인 업-첩 필터에 통과시킴으로써 i 번째 DM-MPSK 심벌
Figure 112008080355564-pat00006
를 수학식 2 같이 모형화할 수 있다(i = 1,2,...,).Figure 1 shows the structure of a typical DM-MPSK system. Input data is mapped to MPSK constellation plots
Figure 112008080355564-pat00004
Each time it is modulated with a short pulse of intermediate frequency (IF). This phase-modulated IF pulse has an impulse response
Figure 112008080355564-pat00005
I-th DM-MPSK symbol by passing through an up-up filter
Figure 112008080355564-pat00006
Can be modeled as in Equation 2 (i = 1,2, ...,).

Figure 112008080355564-pat00007
Figure 112008080355564-pat00007

여기서

Figure 112010064209534-pat00008
는 심벌 에너지를 나타내고,
Figure 112010064209534-pat00009
는 i 번째 데이터를 의미하며,
Figure 112010064209534-pat00010
중 하나의 값을 가진다. 수신기에서는, 수신된 신호를 임펄스 응답이
Figure 112010064209534-pat00011
인 다운-첩 필터에 통과시킨다. 따라서 i 번째 다운-첩 필터 출력
Figure 112010064209534-pat00012
는 수학식3과 같이 나타낼 수 있다.here
Figure 112010064209534-pat00008
Represents the symbol energy,
Figure 112010064209534-pat00009
Means the i th data,
Figure 112010064209534-pat00010
Has one of the values. At the receiver, the impulse response
Figure 112010064209534-pat00011
Pass through the down-chipped filter. Thus i th down-chirp filter output
Figure 112010064209534-pat00012
Can be expressed as in Equation 3.

Figure 112008080355564-pat00013
Figure 112008080355564-pat00013

여기서 B

Figure 112008080355564-pat00014
는 CSS 대역폭으로써, 첩 신호 구간 동안 첩 신호의 순간주 파수가 변화한 범위를 의미하고 '
Figure 112008080355564-pat00015
’는 길쌈 연산 기호이다. 또한 수학식 3은 수신된 첩 신호가 다운-첩 필터를 통하여 sinc함수와 유사한 형태의 매우 좁은 펄스
Figure 112008080355564-pat00016
로 압축되었음을 보여준다. 따라서 첩 신호 구간과
Figure 112008080355564-pat00017
의 펄스 폭의 비로 정의되는 처리 이득 (processing gain, 압축율)
Figure 112008080355564-pat00018
는
Figure 112008080355564-pat00019
가
Figure 112008080355564-pat00020
에서 첫 번째 0값을 가짐에 따라
Figure 112008080355564-pat00021
의 값을 가진다. 마지막으로,
Figure 112008080355564-pat00022
가 최대값을 가지는 t = 0에서 샘플링된 다운-첩 필터 출력을 복조하고 검파함으로써 출력 데이터를 생성한다.Where B
Figure 112008080355564-pat00014
Is the CSS bandwidth, which means the range where the instantaneous frequency of the chirp signal has changed during the chirp signal interval.
Figure 112008080355564-pat00015
'Is a convolutional operation symbol. In addition, Equation 3 shows that the received chirp signal is a very narrow pulse in the form of a sinc function through a down-chirp filter.
Figure 112008080355564-pat00016
To be compressed. So the chirp signal interval
Figure 112008080355564-pat00017
Processing gain, defined as the ratio of the pulse widths
Figure 112008080355564-pat00018
Is
Figure 112008080355564-pat00019
end
Figure 112008080355564-pat00020
As having the first zero value in
Figure 112008080355564-pat00021
Has the value Finally,
Figure 112008080355564-pat00022
Produces output data by demodulating and detecting the down-chirp filter output sampled at t = 0 having a maximum value.

본 발명에서는 상대방 전송 신호의 특정 주파수(주로 중심주파수)를 방해하여 통신의 신뢰성을 떨어뜨리는 톤 재밍 신호 모델을 고려하였으며 그 신호 파형

Figure 112008080355564-pat00023
는 수학식 4와 같이 모형화될 수 있다.The present invention considers a tone jamming signal model that interferes with a specific frequency (mainly center frequency) of the other party's transmission signal to reduce the reliability of the communication.
Figure 112008080355564-pat00023
May be modeled as in Equation 4.

Figure 112008080355564-pat00024
Figure 112008080355564-pat00024

여기서

Figure 112010064209534-pat00025
와
Figure 112010064209534-pat00026
는 각각 톤 재밍 신호의 전력과 중심주파수를 나타내고, θi는 [0, 2π]의 범위에 존재하는 균일 분포 불규칙변수를 의미한다. 따라서
Figure 112010064209534-pat00027
의 저역통과 등가 형태
Figure 112010064209534-pat00028
를 수학식 5와 같이 얻을 수 있다.here
Figure 112010064209534-pat00025
Wow
Figure 112010064209534-pat00026
Denotes the power and center frequency of the tone jamming signal, respectively, and θ i denotes a uniformly distributed random variable in the range of [0, 2π]. therefore
Figure 112010064209534-pat00027
Lowpass equivalent form of
Figure 112010064209534-pat00028
Can be obtained as shown in Equation 5.

Figure 112008080355564-pat00029
Figure 112008080355564-pat00029

톤 재밍 신호가 더해진 DM-MPSK 신호는 수신기에서 다운-첩 필터를 통과하며, 이때 t = 0 에서 샘플링된 다운-첩 필터 출력

Figure 112008080355564-pat00030
는 수학식 6과 같이 나타낼 수 있다.The DM-MPSK signal plus the tone jamming signal passes through the down-chirp filter at the receiver, with the down-chirp filter output sampled at t = 0
Figure 112008080355564-pat00030
Can be expressed as in Equation 6.

Figure 112008080355564-pat00031
Figure 112008080355564-pat00031

여기서

Figure 112008080355564-pat00032
과
Figure 112008080355564-pat00033
의 길쌈 연산은 수학식 7과 같이 확장될 수 있다.here
Figure 112008080355564-pat00032
and
Figure 112008080355564-pat00033
The convolutional operation of may be extended as shown in Equation 7.

Figure 112008080355564-pat00034
Figure 112008080355564-pat00034

여기서 α, β는 t ≥ 0 일 경우, 각각

Figure 112008080355564-pat00035
와
Figure 112008080355564-pat00036
를, t < 0 일 경우 각각
Figure 112008080355564-pat00037
와
Figure 112008080355564-pat00038
를 값으로 가진다. 이때, 수학식 7의 적분식이 아래의 수학식 8과 같이 정의된 프레넬 적분 (Fresnel integral)
Figure 112008080355564-pat00039
와 유사한 형태를 가지는 것을 확인할 수 있다.Where α and β are t ≥ 0, respectively
Figure 112008080355564-pat00035
Wow
Figure 112008080355564-pat00036
Respectively, if t <0
Figure 112008080355564-pat00037
Wow
Figure 112008080355564-pat00038
Has as the value. At this time, the integral formula of Equation 7 is Fresnel integral defined as Equation 8 below
Figure 112008080355564-pat00039
It can be seen that it has a form similar to.

Figure 112008080355564-pat00040
Figure 112008080355564-pat00040

이에 착안하여, 수학식 7과 수학식 8을 통해

Figure 112008080355564-pat00041
의 닫힌꼴 표현을 수학식 9와 같이 얻을 수 있다.With this in mind, Equations 7 and 8
Figure 112008080355564-pat00041
The closed form of can be obtained as in Equation 9.

Figure 112008080355564-pat00042
Figure 112008080355564-pat00042

따라서 수학식9를 통해 수학식6을 아래의 수학식10와 같이 다시 나타낼 수 있다.Accordingly, Equation 6 may be represented again as shown in Equation 10 below.

Figure 112008080355564-pat00043
Figure 112008080355564-pat00043

여기서

Figure 112008080355564-pat00044
는 [0, 2π]의 범위에 존재하는 균일 분포 불규칙변수를 나타낸다. 수학식10을 통하여
Figure 112008080355564-pat00045
을 신호 공간에서 심벌 벡터와 재밍 벡터의 합으로 모형화할 수 있으며,
Figure 112008080355564-pat00046
일 경우의 예를 도2 내지 도6에 나타내었다. 도면에서 점선은 재밍 벡터에 의한
Figure 112008080355564-pat00047
의 자취를 나타낸다. here
Figure 112008080355564-pat00044
Denotes a uniformly distributed random variable in the range of [0, 2π]. Through Equation 10
Figure 112008080355564-pat00045
Can be modeled as the sum of symbol and jamming vectors in signal space,
Figure 112008080355564-pat00046
An example of one case is shown in FIGS. The dashed line in the figure is due to the jamming vector.
Figure 112008080355564-pat00047
It shows the trace of.

도2 및 도3은 M=2인 경우의 (DM-BPSK) 신호 공간 표현을 각각

Figure 112010064209534-pat00048
와
Figure 112010064209534-pat00049
의 경우에 대하여 나타낸다. 도2에서,
Figure 112010064209534-pat00050
이 Imag축(BPSK의 결정 경계)의 왼쪽에 존재하는 경우 심벌 에러가 발생함을 알 수 있다. 따라서
Figure 112010064209534-pat00051
인 경우에 대하여 DM-BPSK의 SER
Figure 112010064209534-pat00052
를 아래의 수학식 11과 같이 구할 수 있다.2 and 3 show (DM-BPSK) signal space representations respectively when M = 2.
Figure 112010064209534-pat00048
Wow
Figure 112010064209534-pat00049
It shows about the case. In Figure 2,
Figure 112010064209534-pat00050
It can be seen that a symbol error occurs when it exists on the left side of this Imag axis (crystal boundary of BPSK). therefore
Figure 112010064209534-pat00051
SER of DM-BPSK
Figure 112010064209534-pat00052
Can be obtained as in Equation 11 below.

Figure 112008080355564-pat00053
Figure 112008080355564-pat00053

반면에 도3과 같이

Figure 112008080355564-pat00054
인 경우,
Figure 112008080355564-pat00055
의 자취는 항상 결정 경계 오른쪽에 존재하며 심벌 에러가 발생하지 않아 SER은 0이 된 다. 따라서 톤 재밍 신호에 따른 DM-BPSK의 SER
Figure 112008080355564-pat00056
는 다음의 수학식 12와 같이 정리될 수 있다.On the other hand, as shown in Figure 3
Figure 112008080355564-pat00054
Quot;
Figure 112008080355564-pat00055
The trace of is always on the right side of the decision boundary and SER is zero because no symbol error occurs. Therefore, SER of DM-BPSK according to tone jamming signal
Figure 112008080355564-pat00056
Can be summarized as in Equation 12 below.

Figure 112008080355564-pat00057
Figure 112008080355564-pat00057

DM-MPSK의 (M > 2) 경우, 수학식 12의 유도 과정과 동일한 접근 방식을 통하여 도4 내지 도6으로부터 SER 수식을 구할 수 있다. 도4는

Figure 112008080355564-pat00058
인 경우의
Figure 112008080355564-pat00059
의 자취를 나타내며 이 경우에 대한 DM-MPSK의 SER
Figure 112008080355564-pat00060
를 아래의 수학식 13과 같이 유도할 수 있다.In the case of (M> 2) of DM-MPSK, the SER equation may be obtained from FIGS. 4 to 6 through the same approach as the derivation process of Equation 12. FIG. 4 is
Figure 112008080355564-pat00058
When
Figure 112008080355564-pat00059
SER of DM-MPSK for this case
Figure 112008080355564-pat00060
Can be derived as in Equation 13 below.

Figure 112008080355564-pat00061
Figure 112008080355564-pat00061

반면에 도5와 같이

Figure 112008080355564-pat00062
인 경우 SER은
Figure 112008080355564-pat00063
로 구할 수 있다. 마지막으로 도6과 같이
Figure 112008080355564-pat00064
가 충분히 큰 환경에서는
Figure 112008080355564-pat00065
의 자취가 모두 결정 경계 내에 존재하므로 SER이 0이 된다. 따라서 톤 재밍 신호에 따른 DM-MPSK(M > 2)의 SER
Figure 112008080355564-pat00066
를 아래의 수학식 14와 같이 정리할 수 있다.On the other hand, as shown in Figure 5
Figure 112008080355564-pat00062
SER is
Figure 112008080355564-pat00063
Can be obtained as Finally, as shown in Figure 6
Figure 112008080355564-pat00064
In an environment that is large enough
Figure 112008080355564-pat00065
Since all traces of are within the crystal boundary, the SER is zero. Therefore, SER of DM-MPSK (M> 2) according to tone jamming signal
Figure 112008080355564-pat00066
Can be arranged as in Equation 14 below.

Figure 112008080355564-pat00067
Figure 112008080355564-pat00067

다음으로, 모의실험의 결과와 본 발명에서 유도한 DM-MPSK 시스템의 SER 성능 수식을 비교한다. 모의실험에는 첩 구간이 (

Figure 112008080355564-pat00068
) 0.5㎲이고, 순간주파수 변화율(μ)은 400MHz/㎲이며, 처리 이득(
Figure 112008080355564-pat00069
)이 100이고, CSS 대역폭(B)은 200MHz인 첩 신호가 사용되었으며, 변조 기법으로는 DM-BPSK (M = 2), DM-QPSK (M = 4), DM-8PSK (M = 8)를 채택하였다. Next, the results of the simulation and the SER performance formula of the DM-MPSK system derived in the present invention is compared. In the simulation, the concubine interval is (
Figure 112008080355564-pat00068
) Is 0.5 Hz, and the instantaneous frequency change rate (μ) is 400 MHz / Hz, and the processing gain (
Figure 112008080355564-pat00069
) Is 100, CSS bandwidth (B) is 200 MHz, and a chirp signal is used. Adopted.

도 7은 톤 재밍 신호에 따른 DM-MPSK 시스템의 SER 이론값과 모의실험 결과를 비교한 그래프이다. 여기서 이론적인 SER 곡선은 본 발명에서 유도된 수학식12 와 수학식14를 이용하여 나타내었다. 7 is a graph comparing the SER theory and the simulation results of the DM-MPSK system according to the tone jamming signal. The theoretical SER curve is shown using Equation 12 and Equation 14 derived from the present invention.

도7의 그래프로부터, 본 발명에서 유도한 SER 이론값이 모의실험을 통한 SER 결과와 일치하는 것을 확인할 수 있다. 또한,

Figure 112008080355564-pat00070
인 경우, 도3과 도6을 통해 분석한 바와 같이 심벌 에러가 발생하지 않음을 확인할 수 있다.
Figure 112008080355564-pat00071
= 100에 대하여, SER이 0이 되기 시작하는
Figure 112008080355564-pat00072
의 문턱값
Figure 112008080355564-pat00073
은
Figure 112008080355564-pat00074
dB로 주어지고, M = 2,4,8 인 경우에 대하여 각각 0.392dB, 0.392dB, 3.965dB로 계산되며 도7에서 확인할 수 있다.From the graph of Figure 7, it can be seen that the SER theoretical value derived from the present invention coincides with the SER result through simulation. Also,
Figure 112008080355564-pat00070
In this case, it can be seen that no symbol error occurs as analyzed through FIGS. 3 and 6.
Figure 112008080355564-pat00071
For = 100, the SER starts to become zero
Figure 112008080355564-pat00072
Threshold
Figure 112008080355564-pat00073
silver
Figure 112008080355564-pat00074
Given in dB, and calculated for 0.392dB, 0.392dB, 3.965dB for the case of M = 2, 4, 8 can be seen in Figure 7.

이상의 설명은 본 발명의 기술 사항을 예시적으로 설명한 것에 불과한 것으로, 본 발명이 속하는 기술 분야에서 통상의 지식을 가진 자라면 본 발명의 본질적인 특성에서 벗어나지 않는 범위에서 다양한 수정 및 변형이 가능할 것이다. 따라서 본 발명에 개시된 실시예들은 본 발명의 기술 사상을 한정하기 위한 것이 아니라 설명하기 위한 것이고, 이런 실시예에 의하여 본 발명의 기술 사상의 범위가 한정되는 것은 아니다. 본 발명의 보호범위는 아래의 청구범위에 의하여 해석되어야 하며, 그와 동등한 범위 내에 있는 모든 기술 사상은 본 발명의 권리범위에 포함되는 것으로 해석되어야 할 것이다.The above description is merely illustrative of the technical details of the present invention, and those skilled in the art to which the present invention pertains may various modifications and changes without departing from the essential characteristics of the present invention. Therefore, the embodiments disclosed in the present invention are not intended to limit the technical idea of the present invention but to describe the present invention, and the scope of the technical idea of the present invention is not limited by these embodiments. The scope of protection of the present invention should be interpreted by the following claims, and all technical ideas within the scope equivalent thereto should be construed as being included in the scope of the present invention.

도1은 M진 위상 편이 방식 직접 변조(direct modulation M-ary phase shift keying, DM-MPSK) 시스템의 블록도.1 is a block diagram of a direct modulation M-ary phase shift keying (DM-MPSK) system.

도2는 톤 재밍 신호에 따른 DM-BPSK의

Figure 112008080355564-pat00081
인 경우, 다운-첩 필터 출력 gi'(0)의 신호 공간을 도시한 그래프.Figure 2 shows the DM-BPSK according to the tone jamming signal
Figure 112008080355564-pat00081
Is a graph showing the signal space of the down-chirp filter output g i '(0).

도3은 톤 재밍 신호에 따른 DM-BPSK의

Figure 112008080355564-pat00082
인 경우, 다운-첩 필터 출력 gi'(0)의 신호 공간을 도시한 그래프.3 illustrates DM-BPSK according to a tone jamming signal.
Figure 112008080355564-pat00082
Is a graph showing the signal space of the down-chirp filter output g i '(0).

도4는 톤 재밍 신호에 따른 DM-MPSK의

Figure 112008080355564-pat00083
인 경우, 다운- 첩 필터 출력 gi'(0)의 신호 공간을 도시한 그래프.4 illustrates DM-MPSK according to a tone jamming signal.
Figure 112008080355564-pat00083
Is a graph showing the signal space of the down-chirp filter output g i '(0).

도5는 톤 재밍 신호에 따른 DM-MPSK의

Figure 112008080355564-pat00084
인 경우, 다운-첩 필터 출력 gi'(0)의 신호 공간을 도시한 그래프.5 illustrates DM-MPSK according to a tone jamming signal.
Figure 112008080355564-pat00084
Is a graph showing the signal space of the down-chirp filter output g i '(0).

도6은 톤 재밍 신호에 따른 DM-MPSK의

Figure 112008080355564-pat00085
가 충분히 큰 경우, 다운-첩 필터 출력 gi'(0)의 신호 공간을 도시한 그래프.6 illustrates DM-MPSK according to a tone jamming signal.
Figure 112008080355564-pat00085
Is a sufficiently large graph showing the signal space of the down-chirp filter output g i '(0).

도7은 톤 재밍 신호에 따른 DM-MPSK의 SER 성능(Gp = 100)을 도시한 그래프.7 is a graph showing the SER performance (G p = 100) of DM-MPSK according to tone jamming signal.

Claims (5)

CSS 시스템의 송신기에서 업-첩 필터를 통과시켜 송신신호를 모형화하는 단계;Modeling the transmitted signal by passing the up-chipping filter at the transmitter of the CSS system; 수신신호를 모형화된 상기 송신신호와 재밍 신호의 합으로 모형화하는 단계;Modeling a received signal as the sum of the modeled transmission signal and jamming signal; 상기 모형화한 수신신호가 다운-첩 필터를 통과한 출력신호를 신호공간에서 모형화하는 단계; 및 Modeling an output signal in which the modeled received signal has passed through a down-chipping filter in a signal space; And 상기 CSS 시스템에서 닫힌꼴 SER 수식을 유도하는 단계;를 포함하고,Deriving a closed SER equation in the CSS system; 상기 다운-첩 필터를 통과한 출력신호를 신호공간에서 모형화하는 단계는, Modeling the output signal passing through the down-chipping filter in the signal space, 수신신호의 다운-첩 필터 출력 신호
Figure 712011000966553-pat00093
를
Figure 712011000966553-pat00094
가 최대값을 가지는 시점에서 샘플링하여, 그 샘플링한 값을 신호 공간에서 벡터의 합으로 모형화하는 것을 특징으로 하는Down-chipping filter output signal of received signal
Figure 712011000966553-pat00093
To
Figure 712011000966553-pat00094
Is sampled at the point that has the maximum value, and the sampled value is modeled as the sum of the vectors in the signal space. 톤 재밍에 따른 CSS 시스템의 SER 성능 분석 방법.SER performance analysis of CSS system by tone jamming. 제 1 항에 있어서, The method of claim 1, 상기 송신신호를 모형화 하는 단계는,Modeling the transmission signal, 입력 데이터를 MPSK 성좌도에 맵핑하는 단계;Mapping the input data to the MPSK constellation diagram; 매 심벌 주기마다 중간주파수(IF)의 짧은 펄스로 위상 변조하는 단계; 및Phase modulating with a short pulse of intermediate frequency IF every symbol period; And 위상변조된 IF 펄스를 업-첩 필터에 통과시켜 i 번째 DM-MPSK 전송 신호를 저역통과 등가 신호
Figure 112010064209534-pat00075
로 모형화하는 단계;를 더 포함하는 것을 특징으로 하는Pass the phase-modulated IF pulse through an up-chipping filter to pass the i-th DM-MPSK transmission signal to a lowpass equivalent signal
Figure 112010064209534-pat00075
Modeling with; characterized in that it further comprises 톤 재밍에 따른 CSS 시스템의 SER 성능 분석 방법.SER performance analysis of CSS system by tone jamming. 제 1 항에 있어서, The method of claim 1, 수신신호를 모형화된 상기 송신신호와 재밍 신호의 합으로 모형화하는 단계는,Modeling a received signal by the sum of the modeled transmission signal and the jamming signal, 전송 신호의 저역통과 등가 신호
Figure 112010064209534-pat00076
와 톤 재밍 신호의 저역통과 등가 신호
Figure 112010064209534-pat00077
의 합으로 모형화되어 상기 수신기에 입력되는 것을 특징으로 하는 Lowpass equivalent signal of transmission signal
Figure 112010064209534-pat00076
Low Pass Equivalent Signal for Tone and Jamming Signals
Figure 112010064209534-pat00077
It is modeled by the sum of the input to the receiver, characterized in that 톤 재밍에 따른 CSS 시스템의 SER 성능 분석 방법.SER performance analysis of CSS system by tone jamming. 삭제delete 제 1 항에 있어서, The method of claim 1, 상기 CSS 시스템에서 닫힌꼴 SER 수식을 유도하는 단계는,Deriving a closed SER formula in the CSS system, 신호 공간에서 벡터의 합으로 모형화된
Figure 112010064209534-pat00080
을 기하학적으로 분석하여 톤 재밍에 따른 CSS 시스템의 닫힌꼴 SER 수식 유도하는 것을 특징으로 하는Modeled as Sum of Vectors in Signal Space
Figure 112010064209534-pat00080
To geometrically analyze and derive closed SER equation of CSS system according to tone jamming 톤 재밍에 따른 CSS 시스템의 SER 성능 분석 방법.SER performance analysis of CSS system by tone jamming.
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