microwave data link has been designed to operate at 110,000 symbols per second while encoding 14 bits per symbol. eceiving equipment requires at least a 50 dB signal to noise ratio in order to operate without significant error. At least 55 kHz of bandwidth on the transmission channel are required for the attempted system. The data rate of the designed link will be 1.54 Mbps. If the actual signal to noise ratio is 100 dB, the system could support encoding as many as 17 bits per symbol. There is not enough information given to determine the minimum transmission power needed to make sure an acceptable power lev arrives at the receiver. Exactly 16,348 different symbols would be needed to support 17 bits per symbol. If the background noise at the receiver is -50 dBm, the receive power will need to be at least 1 dBm.

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**Question 25 Explanation for Educational Website**

This question pertains to a microwave data link designed to function at 110,000 symbols per second, encoding 14 bits per symbol. It specifies that the receiving equipment requires a minimum signal-to-noise ratio (SNR) of 50 dB to function effectively without significant error.

1. **Bandwidth Requirement**: 
   - Statement: At least 55 kHz of bandwidth on the transmission channel is required.
   - Explanation: Bandwidth is crucial for accommodating the data rate and modulation scheme.

2. **Data Rate Calculation**:
   - Statement: The data rate of the designed link will be 1.54 Mbps.
   - Explanation: Calculate the data rate using the formula: Symbols per second × bits per symbol. Here, it would be 110,000 × 14.

3. **Signal-to-Noise Ratio**:
   - Statement: With an SNR of 100 dB, the system could support 17 bits per symbol.
   - Explanation: Higher SNR can support more bits per symbol, potentially achieving higher data rates with the same bandwidth.

4. **Transmission Power Information**:
   - Statement: Insufficient information to determine the minimum transmission power.
   - Explanation: Transmission power is necessary to ensure the signal reaches the receiver with adequate strength and quality.

5. **Symbol Calculations for Encoding**:
   - Statement: Exactly 16,348 symbols are needed for 17 bits per symbol.
   - Explanation: Calculate using 2^17, which represents possible symbol combinations.

6. **Background Noise and Receiver Power**:
   - Statement: With background noise at -50 dBm, the receive power needs to be at least 1 dBm.
   - Explanation: To maintain the SNR of 50 dB, adjust the receive power above the noise level.

**Note:** This question challenges students’ understanding of data link requirements, including bandwidth, SNR, encoding capacity, and power levels, which are crucial for designing effective communication systems.
Transcribed Image Text:**Question 25 Explanation for Educational Website** This question pertains to a microwave data link designed to function at 110,000 symbols per second, encoding 14 bits per symbol. It specifies that the receiving equipment requires a minimum signal-to-noise ratio (SNR) of 50 dB to function effectively without significant error. 1. **Bandwidth Requirement**: - Statement: At least 55 kHz of bandwidth on the transmission channel is required. - Explanation: Bandwidth is crucial for accommodating the data rate and modulation scheme. 2. **Data Rate Calculation**: - Statement: The data rate of the designed link will be 1.54 Mbps. - Explanation: Calculate the data rate using the formula: Symbols per second × bits per symbol. Here, it would be 110,000 × 14. 3. **Signal-to-Noise Ratio**: - Statement: With an SNR of 100 dB, the system could support 17 bits per symbol. - Explanation: Higher SNR can support more bits per symbol, potentially achieving higher data rates with the same bandwidth. 4. **Transmission Power Information**: - Statement: Insufficient information to determine the minimum transmission power. - Explanation: Transmission power is necessary to ensure the signal reaches the receiver with adequate strength and quality. 5. **Symbol Calculations for Encoding**: - Statement: Exactly 16,348 symbols are needed for 17 bits per symbol. - Explanation: Calculate using 2^17, which represents possible symbol combinations. 6. **Background Noise and Receiver Power**: - Statement: With background noise at -50 dBm, the receive power needs to be at least 1 dBm. - Explanation: To maintain the SNR of 50 dB, adjust the receive power above the noise level. **Note:** This question challenges students’ understanding of data link requirements, including bandwidth, SNR, encoding capacity, and power levels, which are crucial for designing effective communication systems.
Expert Solution
Step 1: Introduction

Bandwidth refers to the range of frequencies or the frequency range that can be accommodated or transmitted within a communication channel or system. In other words, it represents the capacity or the amount of data that can be transmitted over a channel in a given period.

Microwave Data Link: A communication link that utilizes microwave frequencies (typically within the range of 1 to 300 GHz) for transmitting data wirelessly over a specific distance.

Symbols per Second: Symbol rate, also known as baud rate, refers to the number of symbols transmitted per second. In digital communication, a symbol represents a distinct signal state that can represent multiple bits.

Bits per Symbol: This refers to the number of bits encoded or represented by a single symbol. In this case, each symbol carries 14 bits of information.

Signal-to-Noise Ratio (SNR): SNR is a measure of the power of the desired signal (the information) compared to the background noise in a communication system. It quantifies the relative strength of the signal compared to the noise, usually expressed in decibels (dB). A higher SNR indicates a stronger and cleaner signal.

Bit Error Rate (BER): BER represents the number of erroneous bits received in relation to the total number of bits transmitted. It is typically expressed as a ratio or as a power of 10 (e.g., 10^(-6) signifies one error bit per million transmitted bits). A lower BER indicates better transmission quality.

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