dopsteeringvec
Doppler steering vector
Description
returns the temporal (time-domain) Doppler steering vector for a target at a
normalized Doppler frequency of DSTV
= dopsteeringvec(dopplerfreq
,numpulses
)dopplerfreq
in hertz. The pulse
repetition frequency is assumed to be 1 Hz.
specifies the pulse repetition frequency, DSTV
= dopsteeringvec(dopplerfreq
,numpulses
,PRF
)PRF
.
Examples
Compute Steering Vector for Doppler Shift
Calculate the steering vector corresponding to a Doppler frequency of 200 Hz. Assume there are 10 pulses and the PRF is 1 kHz.
dstv = dopsteeringvec(200,10,1000)
dstv = 10×1 complex
1.0000 + 0.0000i
0.3090 + 0.9511i
-0.8090 + 0.5878i
-0.8090 - 0.5878i
0.3090 - 0.9511i
1.0000 - 0.0000i
0.3090 + 0.9511i
-0.8090 + 0.5878i
-0.8090 - 0.5878i
0.3090 - 0.9511i
Input Arguments
dopplerfreq
— Doppler frequencies
scalar | vector
Doppler frequencies in hertz, specified as a scalar or vector. The
normalized Doppler frequency is the Doppler frequency divided by the pulse
repetition frequency. Every element of dopplerfreq
must
be smaller than or equal to one-half the pulse repetition frequency
PRF
.
Data Types: single
| double
numpulses
— Number of pulses
positive integer scalar
Number of pulses, specified as a positive integer scalar. The time-domain
Doppler steering vector consists of numpulses
samples
taken at intervals of 1/
(slow-time samples).PRF
Data Types: single
| double
PRF
— Pulse repetition frequency
1
(default) | positive scalar
Pulse repetition frequency in hertz, specified as a positive scalar. The
time-domain Doppler steering vector consists of
numpulses
samples taken at intervals of
1/
(slow-time samples).
The normalized Doppler frequency is the Doppler frequency divided by the
pulse repetition frequency.PRF
Data Types: single
| double
Output Arguments
DSTV
— Temporal Doppler steering vector
column vector | matrix
Temporal Doppler steering vector, returned as a column vector or a matrix.
DSTV
has numpulses
rows and a
number of columns equal to the number of elements of
dopplerfreq
.
More About
Temporal Doppler Steering Vector
The temporal (time-domain) steering vector corresponding to a point scatterer is:
where n = 0,1,2, ..., N – 1 are slow-time samples (one sample from each of N pulses), 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.
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Usage notes and limitations:
This function supports single and double precision for input data and arguments.
This function does not support variable-size inputs.
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.
Version History
Introduced in R2011a
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