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The received signal level at the terminals of a receiver antenna located between 1-2 km away from the transmitting antenna is measured with 100m steps. The measured values are plotted in Figure 1 and given in the data file (pr5data.dat), where the first column is the distance in m and the second column is the measured signal level in V. Note that the received signal is distorted due to noise, environmental effects, and polarization mismatches.

Write a MATLAB code to:

(a) Linear least squares polynomial, (b) Least squares polynomial of degree 2, (c) Least squares polynomial of degree 3

Plot the determined polynomial fits and the measured data then present the error values and coefficients of the polynomial fits in a table.

You can use inv(.) command in MATLAB to solve linear system of equations in the form Ax = b.

pr5data.dat

+1.000E+03 +3.0495642E-02 +1.100E+03 +2.7594421E-02 +1.200E+03 +2.5538733E-02 +1.300E+03 +2.2997760E-02 +1.400E+03 +2.1340250E-02 +1.500E+03 +2.0604664E-02 +1.600E+03 +1.7475806E-02 +1.700E+03 +1.7344306E-02 +1.800E+03 +1.5904310E-02 +1.900E+03 +1.5559922E-02 +2.000E+03 +1.5389207E-02

SUFFICIENT INFORMATION HAS BEEN GIVEN TO SOLVE THIS PROBLEM. If you don't understand the question, you don't have to solve the question.

When I get the correct answer, I will immediately give a thumbs up. THANK YOU FOR YOUR TIME.

30 o Measured signal level 25 Voltage [mV] 9 20 0 15 1 1.1 1.2 1.3 1.7 1.8 1.9 2 1.4 1.5 1.6 Distance [km] Figure 1: The measured signal level