10. Frequency Response
The frequency response function is a very efficient
way to characterize an LTI system for sinusoidal inputs,
so we now set out to do that characterization for analog
filters (i.e., continuous-time systems). We will start with
the case where the input signal is a sinusoid, but then we
will show that the same viewpoint and methods apply
when the input signal is any periodic waveform.
| Lab 13: Numerical Evaluation of Fourier Series |
The goal of the laboratory project is to show how to calculate the
Fourier Series coefficients, {ak}, without
doing the integrals by hand. Instead, we will use MATLAB's
numerical integration capability to evaluate the
integrals numerically. Another approach would be to
use a symbolic algebra package such as Mathematica
or Maple to derive formulas for the Fourier Series coefficients.
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