Question

1. Suppose log10(x) = 25. Calculate log2 (x) by calculating x and then calculating log2 (x). Be sure to show the instructions you gave to R, as well as the value of x and the final result.

2. Find log2 (x), as in (1) without calculating x, by multiplying by something.

3. Suppose log2 (x) = 25. Calculate log10(x) for y = 25 by calculating x and then calculating log10(x). Be sure to show the instructions you gave to R, as well as the value of x, and the final result.

4. Find log10(x) = 25, as in (3), without calculating x, by multiplying by something.

5. Suppose a signal is transmitted with power 10 dBm and the net gain between transmission and the receiver is -20 dB. What is the power received, in dBm? What is the received power in milliwatts?

6. At a certain given receiver, the noise power is -30 dBm and the received signal power is -8 dBm. What is the signal to noise ratio (SNR)? What is the SNR in dB?

7. Suppose the signal to noise ratio of a communication system is 220 and the bandwidth is 50 MHz. What is the maximum possible capacity, in bits/s, according to the Shannon-Hartley formula?

8.Estimate the capacity of the communication systems where the signal to noise ratio at the receiver is 25 dB and the range of frequencies is 2.42 GHz to 2.48 GHz

9. Jack was driving west from Toowoomba, and passed a mobile phone tower by the side of the road. When Jack was 1km west of the tower the strength of the signal received from Jack’s mobile phone was his mobile phone was 0.001 mW or 1e-6 W. What signal strength would the tower receive from Jack’s phone when he was 5km west of the phone tower?

10. Jane in a Rockville was watching a Youtube video using her mobile phone. The 500mW signal was being transmitted from a nearby mobile phone tower in Harlaxton which is 1km away from her. Then lightning struck the mobile phone tower in Harlaxton, and it malfunctioned. Jane’s mobile phone automatically switched to receiving data from a mobile phone tower in Harristown, which is 2km away from her. How much power would the Harristown tower have to transmit in order for Jane to enjoy the same SNR?

Answer 1

That's all I can do.

Thank you.