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A Discontinuous Spectrum Continuous Phase Modulation Signal Design Method

A technology of phase modulation signal and design method, which is applied in the direction of radio wave reflection/re-radiation, utilization of re-radiation, measurement devices, etc., which can solve the problem of inflexible design of signal-to-interference ratio and sidelobe index proportion trade-off, signal design can not match, Consider the details of the pass-stop band and other issues to achieve better real-time performance, improved signal-to-interference ratio, and time-saving effects

Active Publication Date: 2017-11-03
HARBIN INST OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] In order to solve the problem that the current waveform design method does not consider the details of each frequency point of each pass-stop band, the signal cannot be fully matched with the changeable interference environment during signal design and the signal-to-interference ratio in the design process The problem that the design of the proportion trade-off between the side lobe index and the side lobe index is not flexible enough

Method used

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  • A Discontinuous Spectrum Continuous Phase Modulation Signal Design Method
  • A Discontinuous Spectrum Continuous Phase Modulation Signal Design Method
  • A Discontinuous Spectrum Continuous Phase Modulation Signal Design Method

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specific Embodiment approach 1

[0034] A discontinuous spectrum continuous phase modulation signal design method, comprising the following steps:

[0035] Step 1. Set the form of the discrete signal in the single pulse after sampling as

[0036] x=[x 1 ; x 2 ;...;x N ] (1)

[0037] Among them, N is the sequence length;

[0038] Since the variable-mode signal will make it difficult for the transmitter amplifier to work in a saturated state all the time, it will affect the power range and signal-to-noise ratio of the transmitted signal. Therefore, a constant-mode signal is generally used. Under the assumption of unit transmitted energy, the signal form is determined by the phase Decision; the nth sample value x of the signal n Expressed as

[0039]

[0040] Among them, n=1,2,...,N; Ψ n is the phase of the nth sampling value; j represents the complex number unit;

[0041] Step 2. Design the overall objective function for the signal

[0042] P Total =λx H Kx+(1-λ)(2N-x H b-b H x) (3)

[0043] Am...

specific Embodiment approach 2

[0055] The process of designing the overall objective function in step 2 of the present embodiment is as follows:

[0056] Step 2.1, the signal-to-interference ratio (SIR) objective function of the design signal x is

[0057] P SIR =x H Kx (6)

[0058] Step 2.2, the distance side lobe objective function of the design signal x is

[0059] P ACF =2N-x H b-b H x (7)

[0060] Step 2.3, the total objective function of the design signal x is

[0061]

[0062] Other steps and parameters are the same as those in the first embodiment.

specific Embodiment approach 3

[0063] The process of step 2.1 designing the signal-to-interference ratio (SIR) objective function of the present embodiment is as follows:

[0064] Signal-to-interference ratio r of signal x s / n The analytical expression of

[0065]

[0066] Among them, X(f) is the amplitude spectrum of the transmitted waveform; N(f) is the power spectrum of the interference; H(f) is the matched filter corresponding to X(f); f is the frequency; t 0 to accumulate time;

[0067] Under the assumption of unit emission energy, the numerator is a constant value, and to maximize the signal-to-interference ratio is equivalent to minimizing the denominator; the denominator is expressed as

[0068]

[0069] The signal-to-interference ratio (SIR) objective function is

[0070] P SIR =x H Kx (11).

[0071] It is not difficult to understand in a physical sense that the smaller the interference power, the larger the signal-to-interference ratio.

[0072] Other steps and parameters are the same...

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Abstract

The invention relates to a method for designing a signal, specifically to a method for designing a continuous phase-modulation signal of a non-continuous spectrum, and aims to solve the problem in an existing waveform design method that details of each frequency point of each pass band and stop band are not considered, so sufficient matching with changeable interference environment cannot be realized in signal design and the problem that balance design of a proportion of a signal to interference ratio to a sidelobe index is not flexible enough in a design process. The method firstly directs at a signal design general objective function P<Total>=[lambda]x<H>kx+(1-lambda)(2N-x<H>b-b<H>x), then utilizes a gradient iteration method to obtain a waveform optimal solution; then weight lambda is traversed from 1 to 0, a series of values of the signal to interference ratio and the sidelobe are obtained, one of the indexes are used as a horizontal axis, the other index is used as a longitudinal axis, and a curve that is obtained is a Pareto optimal curve; and the Pareto optimal curve is used as a tool for assisting selection an optimal balance between objective functions in multi-objective optimization to design the continuous phase-modulation signal of the non-continuous spectrum. The method provided by the invention is suitable for design of the continuous phase-modulation signal of the non-continuous spectrum.

Description

technical field [0001] The invention relates to a signal design method. Background technique [0002] Radar signal design plays a vital role in the radar system, and its echo contains a large amount of target information, including spatial position, movement and so on. The frequency band where the radar operating frequency is located often has serious narrow-band interference, and the interference has time-varying characteristics. The use of sparse frequency signals can avoid interference frequency bands, and the transmission energy is allocated to discrete "quiet" frequency bands to obtain a large signal-to-interference-noise ratio. However, the sparsity of the spectrum will cause the elevation of the range sidelobe, and it is prone to adverse situations such as the strong target sidelobe submerging the weak target main lobe, thus affecting the detection of the target. Since the signal-to-interference-noise ratio and the range sidelobe are coupled in a conflicting form, t...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S13/88
CPCG01S13/88
Inventor 位寅生尚进
Owner HARBIN INST OF TECH