Draw the freq-time diagram showing the operation


1- For a pattern P = 10011, and a message D = 10010011011, find, using modulo 2 arithmetic or polynomials, the CRC, then the string T to be transmitted.
2- Suppose the channel introduces errors so that the string 000110110111100 is received. Can the error be detected?
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A synchronous TDM multiplexer is to combine 8 digital sources of 7.8 kbps and two analog sources of 4 kHz and 8 kHz, each. Using 8 bit A/D find:

a. The total number of samples per sec for the analog sources, based on the Sampling theorem. 
b. The total data rate in bps for the analog sources. 
c. The output data rate of the TDM multiplexers.
d. Draw a diagram showing the multiplexer operation.

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A binary data 1011,1010,1010,1011 is used to as an input to a FHSS with a PN sequence 01 00 10 11, using MFSK symbol of two bits (k=2), A data rate of 10Mbps.

a. Is this a slow or fast FHSS?
b. The duration of the signal element of MFSK.
c. The time for a new MFSK freq Tc.
d. Draw the Freq-Time diagram showing the operation of the FHSS system for the given data and PN sequence

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Basic Computer Science: Draw the freq-time diagram showing the operation
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