# Tag Info

## Hot answers tagged discretization

5 votes

### Kalman Filter: Why $Q$ Discrete Is Defined as $\int_0^Te^{\mathbf{A}\tau} Q e^{\mathbf{A}^T \tau} d\tau$?

The simple answer is that you discretize Differntial Equation. Actually a linear differential equation. The question is why the Matrix Exponential? Well, try to remember what are the solutions of ...
• 39.3k
4 votes

### Under what conditions is there a one-to-one mapping between continuous-time and discrete-time signals?

Apart from practical errors related to the truncation of the infinitely-long energy signal when discretized to digital, can we find a UNIQUE mapping between the two signal forms? Yes. Say you're ...
• 8,121
4 votes
Accepted

• 8,121
1 vote

### Matlab - Bode plot of Lag Filter + Integrator

You should see that figure(2) is the only process that avoids some errors. Note on figure (1) the magnitude overlaps; you can add a constant say bode(lag_daccu_d,lagaccu+.0001,pts); to split them bu ...
• 405
1 vote

### Matlab - Bode plot of Lag Filter + Integrator

I tried it in Octave, there's definitely a glitch like you said. I tried it with "Tustin" instead of "zoh", same result. However I was puzzled by your high sampling frequency. Your lag controller ...
• 3,544

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