Baud Rate Calculator
Calculate baud rate from bit rate and bits per symbol. Understand the relationship between baud rate and bit rate in serial communication.
1 = binary, 2 = QPSK, 4 = 16-QAM, 6 = 64-QAM, 8 = 256-QAM
How to Use This Calculator
- Enter the bit rate in bits per second (bps).
- Enter the number of bits per symbol (1 for binary, 2 for QPSK, 4 for 16-QAM, etc.).
- The calculator displays the baud rate (symbol rate) in baud.
- Use this to understand serial communication, modem settings, or digital modulation schemes.
Baud Rate Formula
Baud rate is calculated from bit rate and bits per symbol:
Example: 9600 bps with 1 bit per symbol (binary): Baud = 9600 / 1 = 9600 baud. For 9600 bps with 4 bits per symbol (16-QAM): Baud = 9600 / 4 = 2400 baud. For 54 Mbps with 6 bits per symbol (64-QAM): Baud = 54,000,000 / 6 = 9,000,000 baud = 9 Mbaud.
Full Description
Baud rate (also called symbol rate) is the number of symbols transmitted per second in a communication channel. It's an important metric in serial communication, modems, and digital modulation schemes. Baud rate is different from bit rate—baud rate measures symbols, while bit rate measures bits. For binary signals where each symbol represents one bit, baud rate equals bit rate. For multi-level modulation schemes (like QAM), each symbol can represent multiple bits, so baud rate is lower than bit rate.
Common modulation schemes include: Binary (1 bit/symbol), QPSK (2 bits/symbol), 16-QAM (4 bits/symbol), 64-QAM (6 bits/symbol), and 256-QAM (8 bits/symbol). Higher-order modulation schemes allow more bits per symbol, increasing bit rate without increasing baud rate. However, higher-order schemes are more sensitive to noise and require better signal quality.
This calculator helps you determine baud rate from bit rate and modulation scheme. Enter the bit rate and bits per symbol, and it calculates the baud rate. Use it when configuring serial communication, setting up modems, understanding digital modulation, or analyzing communication protocols. Baud rate is fundamental to serial communication and digital signal processing.
Frequently Asked Questions
What is baud rate?
Baud rate (symbol rate) is the number of symbols transmitted per second. It's different from bit rate—baud rate measures symbols, while bit rate measures bits. For binary signals (1 bit per symbol), baud rate equals bit rate. For multi-level signals, baud rate is lower than bit rate.
How is baud rate calculated?
Baud Rate = Bit Rate / Bits Per Symbol. For example, 9600 bps with 1 bit per symbol: Baud = 9600 / 1 = 9600 baud. For 9600 bps with 4 bits per symbol (16-QAM): Baud = 9600 / 4 = 2400 baud.
What's the difference between baud rate and bit rate?
Bit rate is the number of bits transmitted per second. Baud rate is the number of symbols transmitted per second. If each symbol represents multiple bits (like in QAM), baud rate is lower than bit rate. For binary signals, they're equal.
What are common baud rates?
Serial communication: 9600, 19200, 38400, 57600, 115200 baud. Modems: 2400, 4800, 9600 baud. For multi-level modulation (QAM), baud rates are lower. For example, 64-QAM (6 bits/symbol) at 54 Mbps has 9 Mbaud.