The PWM module varies the duration (time) of the high and low states of an output signal based on an internal count (modifiable Nbits) and a comparison (duty and period). This has various applications in the field of electronics, ranging from control to digital communications. PWM can be used to control the speed of a motor, among other applications.
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)
Figure 1 – PWM Module.
Equations:
![](data:image/png;base64,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)
FRECpwm=output frequency of the module in Hz
CLKin= Input clock frequency in Hz
PERIODOpwm=Max value of the internal counter of the PWM.
Note: The maximum value of Duty[n:0] is determined by the value of the Period.
Example 1 (Modular instantiation):
If you want Frec_pwm = 20KHz and you have a period = 250, what should be the input clock frequency to the PWM module?
![](data:image/png;base64,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)
If we apply the formula given earlier:
![](data:image/png;base64,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)
Example 2:
Let's assume CLK_in = 50MHz, Nbits = 3, Period = 7, and a fixed duty = 3.
How would the output signal of the PWM module look and what is the period of the signal?
![](data:image/png;base64,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)
Figure 2 - Annotated simulation of the PWM module.
![](data:image/png;base64,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)
Figure 3 - Simulation of the PWM module
Applying the formula, it would be:
![](data:image/png;base64,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)
Verilog Module(PWM.v):
`timescale 1ns / 1ps
//////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 18:31:09 06/04/2009
// Design Name: Jose Pablo Pinilla & Holguer A Becerra
// Module Name: PWM
// Project Name:
// Target Devices:
// Tool versions:
// Description:
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
//////////////////////////////////////////////////////////////////////////////////
module PWM #(parameter Bits_counter = 7, Periodo=3'd7)
( input clk, output motor, input [Bits_counter-1:0] duty_cycle);
reg [Bits_counter-1:0] Timer1=0;
reg PWM_OUTPUT;
assign motor = PWM_OUTPUT;
always @(posedge clk)
begin
if (Timer1 >= Periodo)
begin
Timer1 <= 0;
PWM_OUTPUT<=PWM_OUTPUT;
end
else
begin
Timer1 <= Timer1+1;
if (Timer1 >= duty_cycle)
PWM_OUTPUT<=1'b0;
else
PWM_OUTPUT <= 1'b1;
end
end
endmodule