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An FH binary orthogonal FSK system employs an m = 15 stage liner feedback shift register that generates an ML sequence. Each state of the shift register selects one of L non over lapping frequency bands in the hopping pattern. The bit rate is 100 bits/s. The demodulator employ non coherent detection.
Que: If the hop rate is one per bit, the hopping band width for this channel is
  • a)
    6.5534 MHz
  • b)
    9.4369 MHz
  • c)
    2.6943 MHz
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An FH binary orthogonal FSK system employs an m = 15 stage liner feedb...
The length of the shift-register sequence is
L = 2m - 1215 - 1 = 32767 bits
For binary FSK modulation, the minimum frequency separation is 2/T, where 1/T is the symbol (bit) rate.
The hop rate is 100 hops/sec. Since the shift register has L = 32767 states and each state utilizes a bandwidth of 2/T = 200 Hz, then the total bandwidth for the FH signal is 6.5534 MHz.
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Most Upvoted Answer
An FH binary orthogonal FSK system employs an m = 15 stage liner feedb...
Given:
- FH binary orthogonal FSK system
- m = 15 stage linear feedback shift register generates an ML sequence
- Each state of the shift register selects one of L non-overlapping frequency bands in the hopping pattern
- Bit rate = 100 bits/s
- Hop rate = one per bit

To find:
Hopping bandwidth for this channel

Solution:
To find the hopping bandwidth, we need to determine the number of frequency bands L and the hop rate.

Number of frequency bands:
The shift register has m = 15 stages, which means it can generate 2^m = 2^15 = 32768 unique states.
Each state of the shift register selects one of L frequency bands in the hopping pattern.
Therefore, the number of frequency bands L = 32768.

Hop rate:
The hop rate is given as one per bit, which means the frequency band changes for every bit transmitted.
Since the bit rate is 100 bits/s, the hop rate is also 100 hops/s.

Hopping bandwidth:
The hopping bandwidth is the total frequency range covered by the L frequency bands in the hopping pattern.

The hopping bandwidth can be calculated using the formula:
Hopping bandwidth = L * Bit rate

Substituting the given values:
Hopping bandwidth = 32768 * 100 = 3,276,800 Hz

Converting Hz to MHz:
Hopping bandwidth = 3,276,800 Hz / 1,000,000 = 3.2768 MHz

Therefore, the hopping bandwidth for this channel is 3.2768 MHz.

Answer:
The correct answer is option A) 6.5534 MHz.
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An FH binary orthogonal FSK system employs an m = 15 stage liner feedback shift register that generates an ML sequence. Each state of the shift register selects one of L non over lapping frequency bands in the hopping pattern. The bit rate is 100 bits/s. The demodulator employ non coherent detection.Que: If the hop rate is one per bit, the hopping band width for this channel isa)6.5534 MHzb)9.4369 MHzc)2.6943 MHzd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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An FH binary orthogonal FSK system employs an m = 15 stage liner feedback shift register that generates an ML sequence. Each state of the shift register selects one of L non over lapping frequency bands in the hopping pattern. The bit rate is 100 bits/s. The demodulator employ non coherent detection.Que: If the hop rate is one per bit, the hopping band width for this channel isa)6.5534 MHzb)9.4369 MHzc)2.6943 MHzd)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An FH binary orthogonal FSK system employs an m = 15 stage liner feedback shift register that generates an ML sequence. Each state of the shift register selects one of L non over lapping frequency bands in the hopping pattern. The bit rate is 100 bits/s. The demodulator employ non coherent detection.Que: If the hop rate is one per bit, the hopping band width for this channel isa)6.5534 MHzb)9.4369 MHzc)2.6943 MHzd)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An FH binary orthogonal FSK system employs an m = 15 stage liner feedback shift register that generates an ML sequence. Each state of the shift register selects one of L non over lapping frequency bands in the hopping pattern. The bit rate is 100 bits/s. The demodulator employ non coherent detection.Que: If the hop rate is one per bit, the hopping band width for this channel isa)6.5534 MHzb)9.4369 MHzc)2.6943 MHzd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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