EE200_Weber_9-9

EE200_Weber_9-9 - EE 200 Product-Form Inputs & Outputs...

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1 EE 200 In some cases it make sense to divide up the inputs and outputs in to groups that come from or go to different subsystems. Doesn’t affect the operation of the state machine, but makes the interfacing clearer. Inputs A Outputs A Inputs B Outputs B Each arrow into or out of the block is a “port”. Inputs = Inputs A × Inputs B (absent, absent) Inputs Outputs = Outputs A × Outputs B State Machine
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2 EE 200 Answering machine example from textbook: Port A: from greeting message device Inputs A = {end greeting, absent} Outputs A = {answer, absent} Port B inputs: from phone line sensors Inputs B = {ring, offhook, absent} Port B outputs: to playback device Output B = {recorded, absent} Port C: from recording device Inputs C = {end message, absent} Outputs C = {record, absent} Telephone Line Interface Recording Device Greeting Playback Device Answering Machine {end greeting} {ring, offhook} {end message} {record} {answer} {recorded}
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3 EE 200 Feed-Forward Composition Combining the side-by-side and cascade compositions gives a feed-forward composition. One output port of machine A is fed into one input port of machine B. State Machine A State Machine B Inputs A Outputs A1 Inputs B2 Outputs B Requires Outputs A2 Inputs B1 Inputs B = Inputs B1 × Inputs B2 Outputs A = Outputs A1 × Outputs A2 Outputs A2 Inputs B1
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4 EE 200 Feedback Feedback is the connecting of an output of a state machine to an input of the same machine. State Machine Outputs The output depends on the input to the machine which depends on the output. For feedback to work the machine has to have input/output combinations that do not cause conflicts. Inputs
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5 EE 200 Fixed Points Our machine needs to have input and state combinations that satisfy the equation x = f(x), known as “fixed points”. Depending on f(x), there may be no fixed points, a single one, or many of them.
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EE200_Weber_9-9 - EE 200 Product-Form Inputs & Outputs...

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