The US Central Intelligence Agency is designing a new geostationary spy satellite. Geostationary satellites remain in a fixed position relative to some point on Earth because they are placed in orbit 3.6 *107 meters above the Earths surface. This satellite is to be equipped with a high resolution, widefield-of-view digital camera that will create JPEG images to be transmitted over a 10 Mbps full-duplex microwave link back to a computer at its base station on Earth. The propagation speed of this link is 2.4 *108 meters/second. The satellite transmits each image as a stream of 37 *106 bits along with a very small header that contains a checksum computed over the image contents. When the image has been received at the base station, the computer then computes a checksum over the received image and compares it with the checksum calculated at the satellite. A small acknowledgement message is sent back to the satellite over the microwave link indicating whether or not the image was received correctly. If the image was not received correctly the entire image is retransmitted from the satellite. If the image was received correctly, the camera can then immediately begin to acquire a new image and transmit the next stream of bits to the ground station. In answering the following questions, show how you derived your results including all intermediate values you used in the calculations. Assume no transmission errors occur and that transmission and processing times for the checksums and acknowledgements are negligible.

In answering the following questions, show how you derived your results including all intermediate values you used in the calculations. Assume no transmission errors occur and that transmission and processing times for the checksums and acknowledgements are negligible.

a) How many images can the satellite transmit per minute?b

) For tracking small-scale movements on the ground it is desirable to have the satellite successfully transmit at least one new image each second. What is the largest image size allowed (how many bits can each image contain) in order to meet this requirement?

c) Consider increasing the transmission speed of the microwave link to 100 Mbps while the propagation speed remains at 2.4 *108 meters/second. What is the largest image size that can still meet the requirement of transmitting one new image each second?