3. A temperature sensor is used to measure the temperature of a room, the temperature is constant. The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get the estimated room temperature. Show all details of your solution
3. A temperature sensor is used to measure the temperature of a room, the temperature is constant. The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get the estimated room temperature. Show all details of your solution
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Transcribed Image Text:3. A temperature sensor is used to measure the temperature of a room, the temperature is constant.
The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the
temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance
of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get
the estimated room temperature. Show all details of your
solution
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