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# dopsteeringvec

Doppler steering vector

## Syntax

DSTV = dopsteeringvec(dopplerfreq,numpulses)
DSTV = dopsteeringvec(dopplerfreq,numpulses,PRF)

## Description

DSTV = dopsteeringvec(dopplerfreq,numpulses) returns the N-by-1 temporal (time-domain) Doppler steering vector for a target at a normalized Doppler frequency of dopplerfreq in hertz. The pulse repetition frequency is assumed to be 1 Hz.

DSTV = dopsteeringvec(dopplerfreq,numpulses,PRF) specifies the pulse repetition frequency, PRF.

## Input Arguments

 dopplerfreq The Doppler frequency in hertz. The normalized Doppler frequency is the Doppler frequency divided by the pulse repetition frequency. numpulses The number of pulses. The time-domain Doppler steering vector consists of numpulses samples taken at intervals of 1/PRF (slow-time samples). PRF Pulse repetition frequency in hertz. The time-domain Doppler steering vector consists of numpulses samples taken at intervals of 1/PRF (slow-time samples). The normalized Doppler frequency is the Doppler frequency divided by the pulse repetition frequency.

## Output Arguments

 DSTV Temporal (time-domain) Doppler steering vector. DSTV is an N-by-1 column vector where N is the number of pulses, numpulses.

## Examples

Calculate the steering vector corresponding to a Doppler frequency of 200 Hz, assuming there are 10 pulses and the PRF is 1 kHz.

`dstv = dopsteeringvec(200,10,1000);`

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### Temporal Doppler Steering Vector

The temporal (time-domain) steering vector corresponding to a point scatterer is:

${e}^{j2\pi {f}_{d}{T}_{p}n}$

where n=0,1,2, ..., N-1 are slow-time samples (one sample from each pulse), fd is the Doppler frequency, and Tp is the pulse repetition interval. The product of the Doppler frequency and the pulse repetition interval is the normalized Doppler frequency.

## References

[1] Melvin, W. L. "A STAP Overview," IEEE® Aerospace and Electronic Systems Magazine, Vol. 19, Number 1, 2004, pp. 19–35.

[2] Richards, M. A. Fundamentals of Radar Signal Processing. New York: McGraw-Hill, 2005.