Array processing A uniform linear array consists of ten sensors in the pattern depicted in Figure 7.16.

The array is steered to 0¼p/3. The sensor separation is d¼l/4, where l is the wavelength of interest.

(a) Compute the electrical angle for the signal coming at the designated direction of 0.

(b) Suppose the following weights are used for the sensor array:
w ¼
að0Þ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi aHð0Það0Þ
p ; að0Þ ¼
1 ej
.. .
ejðL1Þ
2 66664 3 77775 :
Plot the gain (dB) of the array (G¼wHa()aH()w) against the incoming signal angle 2 [p/2, p/2]. (xH is the complex conjugate and transpose of vector x.)

(c) Compute the SIR if another signal with the same strength as the desired signal comes from ¼p/4 at half the frequency.

Transcribed Image Text:

d Figure 7.16 Array processing. Figure 7.17 Sensor deployment in a square.