$$

Problem $1$

$$

A mission has a safe mode emergency downlink rate of $7\mathrm{.}125$ bps and a maximum$$

downlink rate of $1000$ bps$.$ There are $200$ measurements total on the mission.$$

$$

The following subset of measurements are downlinked under safe mode operations$$

at $7\mathrm{.}125$ bps:$$

# meas sig$\_$bits per meas$$

$-----------------------$

$51$

$105$

$108$

$1532$

$1100$

$$

All the measurements are downlinked under nominal operations, with the given$$

number of significant bits:$$

# meas sig$\_$bits per meas$$

$-----------------------$

$501$

$205$

$1008$

$2032$

$10100$

$$

Each frame arriving contains $20$ bytes of synchronization data at the start, $4$

bytes of CRC information, $2$ bytes of frame number, $4$ bytes of time, and $4$ bytes$$

of trailing information.$$

$$

The emergency $7\mathrm{.}125$ bps frame has a different data length than the nominal$$

operations $1000$ bps frame, and is sized so as not to waste any bits.$$

$$

Data is placed in the frame using a telemetry map.$$

$$

a$\mathrm{.}1)$ If all the safe mode data is placed in the frame without commutation, how$$

many bits in length is the emergency mode frame?$$

$$

a$\mathrm{.}2)$ How many seconds does it take to downlink one frame?$$

$$

a$\mathrm{.}3)$ What percentage of the frame contains data?$$

$$

b$\mathrm{.}1)$ If all the nominal data is placed in the frame without commutation, how$$

many bits in length is the nominal mode frame?$$

$$

b$\mathrm{.}2)$ How many seconds does it take to downlink one frame?$$

$$

b$\mathrm{.}3)$ What percentage of the frame contains data?$$

$$

c$\mathrm{.}1)$ If $5$ of the $100$ bit measurements in the nominal frame of parts a and b$,$ are

commutated together using a single segment of $100$ bits, how many bits in length is the$$

nominal mode frame?$$

$$

c$\mathrm{.}2)$ How many seconds does it take to downlink one frame?$$

$$

c$\mathrm{.}3)$ What percentage of the frame contains data?Problem $1$

A mission has a safe mode emergency downlink rate of $7\mathrm{.}125bps$ and a maximum

downlink rate of $1000bps.$ There are $200$ measurements total on the mission.

The following subset of measurements are downlinked under safe mode operations

at $7\mathrm{.}125$ bps:

All the measurements are downlinked under nominal operations, with the given

number of significant bits:

Each frame arriving contains $20$ bytes of synchronization data at the start, $4$

bytes of CRC information, $2$ bytes of frame number, $4$ bytes of time, and $4$ bytes

of trailing information.

The emergency $7\mathrm{.}125bps$ frame has a different data length than the nominal

operations $1000bps$ frame, and is sized so as not to waste any bits.

Data is placed in the frame using a telemetry map.

a$\mathrm{.}1)$ If all the safe mode data is placed in the frame without commutation, how

many bits in length is the emergency mode frame?

a$\mathrm{.}2)$ How many seconds does it take to downlink one frame?

a$\mathrm{.}3)$ What percentage of the frame contains data?

b$\mathrm{.}1)$ If all the nominal data is placed in the frame without commutation, how

many bits in length is the nominal mode frame?

b$\mathrm{.}2)$ How many seconds does it take to downlink one frame?

b$\mathrm{.}3)$ What percentage of the frame contains data?

c$\mathrm{.}1)$ If $5$ of the $100$ bit measurements in the nominal frame of parts a and b$,$ are

commutated together using a single segment of $100$ bits, how many bits in length is the

nominal mode frame?

c$\mathrm{.}2)$ How many seconds does it take to downlink one frame?

c$\mathrm{.}3)$ What percentage of the frame contains data?