A finite-state machine (FSM) is a mechanism whose output is dependent not only on the current state of the input, but also on past input and output values.
Whenever you need to create some sort of time-dependent algorithm in VHDL, or if you are faced with the problem of implementing a computer program in an FPGA, it can usually be solved by using an FSM.
State-machines in VHDL are clocked processes whose outputs are controlled by the value of a state signal. The state signal serves as an internal memory of what happened in the previous iteration.
This blog post is part of the Basic VHDL Tutorials series.
Consider the states of the traffic lights at this intersection:
The traffic lights have a finite number of states, which we have given identifiable names. Our example state machine has no controlling inputs, the output is the state of the lights in north/south and west/east directions. It is elapsed time and the previous state of outputs which advances this state machine.
We can represent states in VHDL using an enumerated type. These are data types just like
unsigned, but instead of integer numbers, we can supply a custom list of possible values. In fact, if you take a look in the std_logic_1164 package, you will find that the
std_ulogic type is nothing more than an enumerated type with the values
'-' listed as enumeration values.
Once we have our enumerated type, we can declare a signal of the new type which can be used for keeping track of the FSM’s current state.
The syntax for declaring a signal with an enumerated type in VHDL is:
type <type_name> is (<state_name1>, <state_name2>, ...);
signal <signal_name> : <type_name>;
Using the state signal, the finite-state machine can then be implemented in a process with a Case statement. The Case statement contains a When statement for each of the possible states, causing the program to take different paths for every state. The When statement can also contain code which should be executed while in that particular state. The state will then typically change when a predefined condition is met.
This is a template for one-process state machine:
if rising_edge(Clk) then
if nRst = '0' then
State <= <reset_state>;
case State is
when <state_name> =>
if <state_change_condition_is_true> then
State <= <next_state_name>;
In this video tutorial we will learn how to create a finite-state machine in VHDL:
The final code for the state machine testbench:
library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity T20_FiniteStateMachineTb is end entity; architecture sim of T20_FiniteStateMachineTb is -- We are using a low clock frequency to speed up the simulation constant ClockFrequencyHz : integer := 100; -- 100 Hz constant ClockPeriod : time := 1000 ms / ClockFrequencyHz; signal Clk : std_logic := '1'; signal nRst : std_logic := '0'; signal NorthRed : std_logic; signal NorthYellow : std_logic; signal NorthGreen : std_logic; signal WestRed : std_logic; signal WestYellow : std_logic; signal WestGreen : std_logic; begin -- The Device Under Test (DUT) i_TrafficLights : entity work.T20_TrafficLights(rtl) generic map(ClockFrequencyHz => ClockFrequencyHz) port map ( Clk => Clk, nRst => nRst, NorthRed => NorthRed, NorthYellow => NorthYellow, NorthGreen => NorthGreen, WestRed => WestRed, WestYellow => WestYellow, WestGreen => WestGreen); -- Process for generating clock Clk <= not Clk after ClockPeriod / 2; -- Testbench sequence process is begin wait until rising_edge(Clk); wait until rising_edge(Clk); -- Take the DUT out of reset nRst <= '1'; wait; end process; end architecture;
The final code for the state machine module:
library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity T20_TrafficLights is generic(ClockFrequencyHz : integer); port( Clk : in std_logic; nRst : in std_logic; -- Negative reset NorthRed : out std_logic; NorthYellow : out std_logic; NorthGreen : out std_logic; WestRed : out std_logic; WestYellow : out std_logic; WestGreen : out std_logic); end entity; architecture rtl of T20_TrafficLights is -- Enumerated type declaration and state signal declaration type t_State is (NorthNext, StartNorth, North, StopNorth, WestNext, StartWest, West, StopWest); signal State : t_State; -- Counter for counting clock periods, 1 minute max signal Counter : integer range 0 to ClockFrequencyHz * 60; begin process(Clk) is begin if rising_edge(Clk) then if nRst = '0' then -- Reset values State <= NorthNext; Counter <= 0; NorthRed <= '1'; NorthYellow <= '0'; NorthGreen <= '0'; WestRed <= '1'; WestYellow <= '0'; WestGreen <= '0'; else -- Default values NorthRed <= '0'; NorthYellow <= '0'; NorthGreen <= '0'; WestRed <= '0'; WestYellow <= '0'; WestGreen <= '0'; Counter <= Counter + 1; case State is -- Red in all directions when NorthNext => NorthRed <= '1'; WestRed <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= StartNorth; end if; -- Red and yellow in north/south direction when StartNorth => NorthRed <= '1'; NorthYellow <= '1'; WestRed <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= North; end if; -- Green in north/south direction when North => NorthGreen <= '1'; WestRed <= '1'; -- If 1 minute has passed if Counter = ClockFrequencyHz * 60 -1 then Counter <= 0; State <= StopNorth; end if; -- Yellow in north/south direction when StopNorth => NorthYellow <= '1'; WestRed <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= WestNext; end if; -- Red in all directions when WestNext => NorthRed <= '1'; WestRed <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= StartWest; end if; -- Red and yellow in west/east direction when StartWest => NorthRed <= '1'; WestRed <= '1'; WestYellow <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= West; end if; -- Green in west/east direction when West => NorthRed <= '1'; WestGreen <= '1'; -- If 1 minute has passed if Counter = ClockFrequencyHz * 60 -1 then Counter <= 0; State <= StopWest; end if; -- Yellow in west/east direction when StopWest => NorthRed <= '1'; WestYellow <= '1'; -- If 5 seconds have passed if Counter = ClockFrequencyHz * 5 -1 then Counter <= 0; State <= NorthNext; end if; end case; end if; end if; end process; end architecture;
The waveform after we entered the
run 5 min command in the ModelSim console:
We declared an enumerated type with all the eight different states of our traffic lights. Then, we declared a
state signal of this new type that we created. This means that the signal can only have one of the eight named state values, and no other values.
The FSM was implemented using a Case-statement within a clocked process. On each rising edge of the clock, the process wakes up, and the
state signal is evaluated. The code within exactly one of the
when choices (branches) is allowed to run, depending on the current state.
In our code, it is the value of the
Counter signal that triggers state changes. When the Counter reaches a predefined value, representing 5 seconds or 1 minute, a new state encoding is assigned to the
State signal. Then, when the process wakes up on the next rising edge of the clock after the state value has been updated, the FSM is in a different state.
Note that we are not assigning
'0' to any signal in any of the
when choices. This is because we have given all the output signals a default value of
'0' at the beginning of the process. You may remember from a previous tutorial that it is the last value which is assigned to a signal that becomes effective. Signal assignments become effective only after the process terminates. If we assign
'0' to the signal at the beginning of the process, and then
'1' in one of the
when choices, the signal will get the value
We can see from the waveform that the
State signal cycles through the eight states. The steady green states last for one minute, the waveform image has therefore been cut in the
- Algorithms are usually implemented as finite-state machines (FSMs)
- An FSM can be implemented by using a case statement in a clocked process
- FSM states can be implemented in an enumerated type