9-24 A single-channel binary NRZ-L PCM signal having a sampling rate of 20,000 samples per second utilizes 16-bit words and modulates an RF carrier in an ASK format. Determine the RF transmission bandwidth.
9-24 A single-channel binary NRZ-L PCM signal having a sampling rate of 20,000 samples per second utilizes 16-bit words and modulates an RF carrier in an ASK format. Determine the RF transmission bandwidth.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![**Problem 9-24:**
A single-channel binary NRZ-L PCM signal having a sampling rate of 20,000 samples per second utilizes 16-bit words and modulates an RF carrier in an ASK format. Determine the RF transmission bandwidth.
**Explanation:**
The problem involves determining the RF transmission bandwidth for a binary NRZ-Level (NRZ-L) Pulse Code Modulation (PCM) signal. The signal has a:
- Sampling rate of 20,000 samples per second.
- Each sample uses 16-bit words.
- Modulation format used is Amplitude Shift Keying (ASK).
To solve this problem, consider the data rate and the modulation scheme:
1. **Calculate the Data Rate:**
The data rate in bits per second (bps) can be calculated using:
\[
\text{Data Rate} = \text{Sampling Rate} \times \text{Number of bits per sample}
\]
\[
\text{Data Rate} = 20,000 \, \text{samples/second} \times 16 \, \text{bits/sample} = 320,000 \, \text{bps}
\]
2. **Determine RF Transmission Bandwidth:**
For ASK modulation, the bandwidth (BW) is approximately equal to the data rate. Thus:
\[
\text{BW} \approx 320,000 \, \text{Hz} \text{ (or 320 kHz)}
\]
**Conclusion:**
The RF transmission bandwidth for this signal, using ASK modulation, is approximately 320 kHz.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9a75475-3880-4883-81b6-0993c096d99d%2F44eee437-5d66-4a47-85df-e3f4b8e5a695%2Fe7krwz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 9-24:**
A single-channel binary NRZ-L PCM signal having a sampling rate of 20,000 samples per second utilizes 16-bit words and modulates an RF carrier in an ASK format. Determine the RF transmission bandwidth.
**Explanation:**
The problem involves determining the RF transmission bandwidth for a binary NRZ-Level (NRZ-L) Pulse Code Modulation (PCM) signal. The signal has a:
- Sampling rate of 20,000 samples per second.
- Each sample uses 16-bit words.
- Modulation format used is Amplitude Shift Keying (ASK).
To solve this problem, consider the data rate and the modulation scheme:
1. **Calculate the Data Rate:**
The data rate in bits per second (bps) can be calculated using:
\[
\text{Data Rate} = \text{Sampling Rate} \times \text{Number of bits per sample}
\]
\[
\text{Data Rate} = 20,000 \, \text{samples/second} \times 16 \, \text{bits/sample} = 320,000 \, \text{bps}
\]
2. **Determine RF Transmission Bandwidth:**
For ASK modulation, the bandwidth (BW) is approximately equal to the data rate. Thus:
\[
\text{BW} \approx 320,000 \, \text{Hz} \text{ (or 320 kHz)}
\]
**Conclusion:**
The RF transmission bandwidth for this signal, using ASK modulation, is approximately 320 kHz.
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