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Pulse compression

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1、The experimental principle

The range of pulse radar is measured by measuring the delay time of target echo,

and the range resolution is directly determined by the pulse bandwidth.Narrow pulse

with large bandwidth and narrow width, you can get high range resolution, however,

is realized by using narrow pulse range needs to have the peak power, in the high

frequency, because of the waveguide size, has the limitation on the peak power, to

avoid the transmission line is high breakdown voltage, the power limitation

determines the range of narrow pulse radar co., LTD.Modern radar USES signals with

both large time width and wide bandwidth to ensure range resolution and range

resolution. Large time width pulse increases the transmitting energy of radar to realize

long range resolution. On the other hand, wide pulse signal is transformed into narrow

pulse after pulse compression filter to obtain high range resolution.Pulse compression

can be realized by matching filter.

Match Filter is one of the best linear filters. The criterion of the filter is the

maximum output signal-to-noise ratio, which is often used in receivers of

communication and radar systems. The impulse response/system function of the filter

is derived below.Suppose the filter transfer function is H(f), the impulse response is

H(t), and the input signal is:

r(t)=s(t)+n(t)

Where S (t) is the input signal and n(t) is the Gaussian white noise.Suppose the

spectral density function of the input signal is S(f), and the unilateral power spectrum

of Gaussian white noise is N0/2, where N0 is the unilateral power spectral density of

Gaussian white noise.The output of the signal through the matching filter is shown in

Figure 1.1.

Figure. 1.1 Matching filter

Where s0(t) is the output of the signal, and its expression is:

And it is known that the power spectral density of the output Gaussian white

noise is equal to the power spectral density of the input white noise multiplied by the

square of the transfer function modulus value of the system, that is, the output noise

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