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System Simulator >
Discrete Time Analysis >
   Linear Electrical Discrete Time Simulation with Convolution >
       Step 3: Computing the total (signal plus noise) discrete time output voltages of an electrical sub-design           


Step 3: Computing the total (signal plus noise) discrete time output voltages of an electrical sub-design

After extracting the discrete time impulse and noise responses, the total discrete time complex voltage envelope at the jth output port is computed using the convolution integral (in discrete form):

 

 

 

 

 

where:

n = 0,1,2,

ts = Simulation time step of the input signals.

WNj = Unity-variance discrete white Gaussian noise generated for the jth external port using a random seed. This noise is generated independently of other external ports.

 

Note 

Setting the parameter fs and the control parameter MIN_BW for discrete time analysis is critical for meaningful discrete time simulations of mixed mode systems. This will be discussed in more detail later (see Setting Discrete Time Simulation Control Parameters - Convolution).

Note 

The inputs to a linear electrical sub-design may have different carrier frequencies as long as the maximum frequency carrier separation does not exceed half the sampling frequency of the input signals.

Note 

Different inputs to a linear electrical sub-design are not allowed to have different sampling frequencies (i.e., different simulation time step). If the simulator detects this problem, an error message will be displayed during analysis.




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