### Analyzing the Statement
1. **Understanding Nyquist's Theorem**: Nyquist’s theorem states that the maximum data rate of a noiseless channel is determined by the bandwidth of the channel and is given by the formula:
$$
C = 2B \log_2(M)
$$
where $C$ is the channel capacity in bits per second, $B$ is the bandwidth in hertz, and $M$ is the number of levels of signal.

2. **Infinite Bandwidth Implication**: If a channel is assumed to have infinite capacity, it implies it also has infinite bandwidth. However, in practical terms, all physical channels have limitations on bandwidth.

3. **Perfect Channel Condition**: A perfect (noiseless) channel does suggest that the channel can transmit data at its maximum capacity without any interference or degradation, but "infinite transmission capacity" is not practically achievable.

### Conclusion
Given the theoretical basis and practical implications, the statement that "a perfect (noiseless) channel has infinite transmission capacity" is **False**.

### Final Answer
**False**. A perfect channel can achieve high capacity, but the concept of infinite capacity is not practical.

Question

### Analyzing the Statement
1. **Understanding Nyquist's Theorem**: Nyquist’s theorem states that the maximum data rate of a noiseless channel is determined by the bandwidth of the channel and is given by the formula:
   $$
   C = 2B \log_2(M)
   $$
   where $C$ is the channel capacity in bits per second, $B$ is the bandwidth in hertz, and $M$ is the number of levels of signal.

2. **Infinite Bandwidth Implication**: If a channel is assumed to have infinite capacity, it implies it also has infinite bandwidth. However, in practical terms, all physical channels have limitations on bandwidth.

3. **Perfect Channel Condition**: A perfect (noiseless) channel does suggest that the channel can transmit data at its maximum capacity without any interference or degradation, but "infinite transmission capacity" is not practically achievable.

### Conclusion
Given the theoretical basis and practical implications, the statement that "a perfect (noiseless) channel has infinite transmission capacity" is **False**.

### Final Answer
**False**. A perfect channel can achieve high capacity, but the concept of infinite capacity is not practical.

Knowee AI · Accepted Answer

### Analyzing the Statement
1. **Understanding Nyquist's Theorem**: Nyquist’s theorem states that the maximum data rate of a noiseless channel is determined by the bandwidth of the channel and is given by the formula:
   $$
   C = 2B \log_2(M)
   $$
   where $C$ is the channel capacity in bits per second, $B$ is the bandwidth in hertz, and $M$ is the number of levels of signal.

2. **Infinite Bandwidth Implication**: If a channel is assumed to have infinite capacity, it implies it also has infinite bandwidth. However, in practical terms, all physical channels have limitations on bandwidth.

3. **Perfect Channel Condition**: A perfect (noiseless) channel does suggest that the channel can transmit data at its maximum capacity without any interference or degradation, but "infinite transmission capacity" is not practically achievable.

### Conclusion
Given the theoretical basis and practical implications, the statement that "a perfect (noiseless) channel has infinite transmission capacity" is **False**.

### Final Answer
**False**. A perfect channel can achieve high capacity, but the concept of infinite capacity is not practical.

According to Nyquist, a perfect (noiseless) channel has infinite transmission capacity.Question 8Select one:TrueFalse

Question

According to Nyquist, a perfect (noiseless) channel has infinite transmission capacity.

Solution

Analyzing the Statement

Conclusion

Final Answer

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