23.3.2.2.1 The Fractional Baud Rate Generator

In modes where the USART is not using the XCK input as a clock source, the fractional Baud Rate Generator is used to generate the clock. Baud rate is given in terms of bits per second (bps) and is configured by writing the USARTn.BAUD register. The baud rate (f_BAUD) is generated by dividing the peripheral clock (f_{CLK_PER}) by a division factor decided by the BAUD register.

The fractional Baud Rate Generator features hardware that accommodates cases where f_{CLK_PER} is not divisible by f_BAUD. Usually, this situation would lead to a rounding error. The fractional Baud Rate Generator expects the BAUD register to contain the desired division factor left shifted by six bits, as implemented by the equations in Table 23-1. The six Least Significant bits (LSbs) will then hold the fractional part of the desired divisor. Use the fractional part of the BAUD register to dynamically adjust f_BAUD to achieve a closer approximation to the desired baud rate.

Since the baud rate cannot be higher than f_{CLK_PER}, the integer part of the BAUD register needs to be at least 1. Since the result is left shifted by six bits, the corresponding minimum value of the BAUD register is 64. The valid range is, therefore, 64 to 65535.

In Synchronous mode, only the 10-bit integer part of the BAUD register (BAUD[15:6]) determines the baud rate, and the fractional part (BAUD[5:0]) must, therefore, be written to zero.

The table below lists equations for translating baud rates into input values for the BAUD register. The equations consider fractional interpretation, so the BAUD values calculated with these equations can be written directly to USARTn.BAUD without any additional scaling.

Table 23-1. Equations for Calculating Baud Rate Register Setting
Operating Mode	Conditions	Baud Rate (Bits Per Seconds)	USART.BAUD Register Value Calculation
Asynchronous	$f_{B A U D} \leq \frac{f_{C L K_P E R}}{S}$ $U S A R T . B A U D \geq 64$	$f_{B A U D} = \frac{64 \times f_{C L K_P E R}}{S \times B A U D}$	$B A U D = \frac{64 \times f_{C L K_P E R}}{S \times f_{B A U D}}$
Synchronous Host	$f_{B A U D} \leq \frac{f_{C L K_P E R}}{S}$ $U S A R T . B A U D \geq 64$	$f_{B A U D} = \frac{f_{C L K_P E R}}{S \times B A U D [15 : 6]}$	$B A U D [15 : 6] = \frac{f_{C L K_P E R}}{S \times f_{B A U D}}$

S is the number of samples per bit

Asynchronous Normal mode: S = 16
Asynchronous Double-Speed mode: S = 8
Synchronous mode: S = 2

ATtiny202/204/402/404/406

23.3.2.2.1 The Fractional Baud Rate Generator