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Pulse compression
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Everything about Pulse Compression totally explained

Pulse compression is a signal processing technique mainly used in radar, sonar and echography to augment the range resolution as well as the signal to noise ratio. This is achieved by modulating the transmitted pulse and then correlating the received signal with the transmitted pulse.

Simple pulse

Signal description

The simplest signal a pulse radar can transmit, is a sinusoidal pulse, of amplitude A and carrier frequency f_0, and truncated by a rectangular function of width T. The pulse is transmitted periodically, but this isn't the main topic of this article: We will consider only a single pulse s. If we assume the pulse to start at time t=0, the signal can be written the following way, using the complex notation:
s(t) = left phases is done according to a technique known as Barker codes. It is possible to code the sequence on more than two phases (polyphase coding). As with a linear chirp, pulse compression is achieved through intercorrelation.
   The advantages of the Barker codes are their simplicity (as indicated above, a pi de-phasing is a simple sign change), but the pulse compression ratio is lower than in the chirp case and the compression is very sensitive to frequency changes due to the Doppler effect if that change is larger than 1/T.

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