Estimate the peak transmit power for a side-looking SAR operating at a frequency of 5.3 GHz to form an image of a target at 50 km. Assume a radar cross-section (RCS) of 1 m$${}^{2}$$ and rectangular waveform with a bandwidth of 0.05 microseconds. The antenna gain is 30 dB and the minimum SNR required to make a detection is 30 dB. The range processing gain is 29.8 dB and the azimuth processing gain is 42.7 dB. Assume zero losses.

lambda = freq2wavelen(5.3e9);
r = 50e3;
tau = 0.05e-6;
G = 30;
SNR = 30;
rnggain = 29.8;
azgain = 42.7;

r — Range to target scalar | column vector | 1-by-2 row vector | 2-column matrix

Range to target in meters, specified as a scalar, a column vector, a 1-by-2 row vector, or a 2-column matrix.

Specify this argument as a scalar or a column vector for a monostatic radar.

Specify this argument as a 1-by-2 row vector or as a 2-column matrix for a bistatic radar.

The first element or column corresponds to the range from the transmitter to the target.

The second element or column corresponds to the range from the
target to the receiver.

Data Types: double

lambda — Wavelength of radar operating frequency positive real scalar

Wavelength of radar operating frequency in meters, specified as a positive real scalar.

Data Types: double

snr — Required signal-to-noise ratio real scalar | vector

Required signal-to-noise ratio (SNR) in decibels, specified as a real scalar or a vector.

Data Types: double

tau — Pulse width at antenna port positive real scalar

Pulse width at the antenna port in seconds, specified as a positive real
scalar.

Data Types: double

rnggain — SNR gain due to range processing real scalar

SNR gain due to range processing in decibels, specified as a real scalar.

Data Types: double

azgain — SNR gain due to azimuth processing real scalar

SNR gain due to azimuth processing in decibels, specified as a real scalar.

Data Types: double

Name-Value Arguments

Specify optional
comma-separated pairs of Name,Value arguments. Name is
the argument name and Value is the corresponding value.
Name must appear inside quotes. You can specify several name and value
pair arguments in any order as
Name1,Value1,...,NameN,ValueN.

Target radar cross-section in square meters, specified as a scalar or a vector.
radareqsarpow assumes a nonfluctuating target (Swerling case
0).

Data Types: double

Ts — System noise temperature 290 (default) | positive scalar

System noise temperature in kelvins, specified as a positive scalar.

Data Types: double

Gain — Antenna gain 20 (default) | scalar | 1-by-2 row vector

Antenna gain in decibels, specified as a scalar or 1-by-2 row vector.

If you specify this argument as a two-element vector, the first element represents antenna transmit gain and the second element represents the antenna receive gain.

If you specify this argument as a scalar, radareqsarpow assumes the antenna has equal transmit and receive gains.

Data Types: double

Loss — System loss 0 (default) | scalar | vector

System loss in decibels, specified as a scalar or a vector.

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