implemented task4 1-4, documentation needs to be written

lab_5/leo_satellite_pass.md

@@ -1,3 +1,11 @@
+<style>
+    newpage{
+        display: block;
+        page-break-after: always;
+        break-after: page;
+    }
+</style>
+
 <h2 style="text-align: center;">
 Lab 5 - Wireless Networking Technologies
 </h2>
@@ -187,6 +195,8 @@ requiredAntennaGain = max(requiredTxPower - amplifiedTxPower, 0);
 
 With the 30dB amplifier, the remaining required antenna gain is between 30.99dB and 57.54dB.
 
+<newpage></newpage>
+
 ### Task3
 
 #### 3.1
@@ -209,6 +219,22 @@ The blue line shows the Doppler shift returned by MATLAB's `dopplershift` functi
 
 In this scenario, Doppler shift can support localization because it constrains the relative radial motion between satellite and ground station. However, Doppler alone is not sufficient for unique localization: the satellite orbit, time, and additional measurements such as range or elevation are still required.
 
+### Task4
+
+#### 4.1 - 4.3
+
+![PER over SNR sweep with pre-compensation](per_over_snr_doppler_pre_compensation.svg)
+
+The plot compares the PER over SNR without Doppler pre-compensation, with ideal pre-compensation, and with imperfect pre-compensation errors of 10 Hz, 100 Hz, 1000 Hz, and 5000 Hz.
+
+Only small differences between the curves are visible. The maximum PER difference between no pre-compensation and ideal pre-compensation is 0.018, which corresponds to about 18 packets out of 1000. Therefore, Doppler pre-compensation has only a small visible effect in this simulation setup.
+
+A likely reason is that the 802.11 receiver still performs coarse and fine CFO correction using the WiFi preamble. Pilot tracking is disabled as required by the task, but the preamble-based CFO correction is still active. Because of this, even the case without transmitter-side pre-compensation can still decode many packets successfully. The additional benefit of ideal pre-compensation is therefore limited at the simulated 2.4 GHz carrier frequency.
+
+#### 4.4
+
+For this compare only the test with ideal pre-compensation and without pre-compensation is run.
+
 #### Special Thanks
 
 This lab was solved with contribution of GPT 5.5.