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System Simulator >
Discrete Time Analysis >
Linear Electrical Discrete Time Simulation with Convolution >
Step 1: Evaluating the Frequency and Noise Responses

Step 1: Evaluating the Frequency and Noise Responses

For bandpass linear electrical systems (input signals with a carrier frequency f_c != 0 ), the frequency admittance matrix Y(f) and noise correlation matrix J(f) are evaluated at K discrete frequency points, where

K = {next power of two }

and

f_s = Simulation sampling rate of the input signals (f_s = 1/t_s)

MIN_BW = Minimum bandwidth of an electrical component/sub-design in the complete mixed-mode system being simulated

(see Setting Discrete Time Simulation Control Parameters - Convolution).

At each frequency point, the frequency admittance matrix Y(f) and noise correlation matrix J(f) are evaluated as described in the Single-Tone Frequency Domain Analysis section of the Frequency Domain Analysis topic.

The frequency response evaluation begins at

,

and ends at

,

As a result, the frequency step df taken during this frequency response evaluation is given by:

Note

For baseband linear electrical sub-designs (input signals with a carrier frequency f_c = 0), the frequency admittance matrix Y(f) and noise correlation matrix J(f) are evaluated at K/2 discrete frequency points with f_min = 0 and f_max = f_s/2. As a result, the number of frequency points used for frequency evaluation at baseband are half those used for bandpass frequency evaluation. This is due to the fact that the frequency response evaluated at baseband is symmetric around f = 0 while the frequency response around a carrier frequency f = f_c is not necessarily symmetric.

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