diff --git a/projects/project_eod/eod.tex b/projects/project_eod/eod.tex index cb9bc23..74b8a85 100644 --- a/projects/project_eod/eod.tex +++ b/projects/project_eod/eod.tex @@ -39,14 +39,15 @@ \part Load and plot the data in an appropriate way. Time is in seconds and the voltage is in mV/cm. \part Fit the following curve to the eod (select a small time - window, a few tens of milliseconds, for fitting, not the entire - trace) using least squares: + window, containing only 2 or three electric organ discharges, for + fitting, not the entire trace) using least squares: $$f_{\omega_0,b_0,\varphi_1, ...,\varphi_n}(t) = b_0 + - \sum_{j=1}^n \sin(2\pi j\omega_0\cdot t + \varphi_j ).$$ - $\omega_0$ is called {\em fundamental frequency}. The single terms - $\sin(2\pi j\omega_0\cdot t + \varphi_j )$ are called {\em - harmonic components}. The variables $\varphi_j$ are called {\em - phases}. For the beginning choose $n=3$. + \sum_{j=1}^n \alpha_j \cdot \sin(2\pi j\omega_0\cdot t + \varphi_j + ).$$ $\omega_0$ is called {\em fundamental frequency}. The single + terms $\alpha_j \cdot \sin(2\pi j\omega_0\cdot t + \varphi_j )$ + are called {\em harmonic components}. The variables $\varphi_j$ + are called {\em phases}, the $\alpha_j$ are the amplitudes. For + the beginning choose $n=3$. \part Try different choices of $n$ and see how the fit changes. Plot the fits and the original curve for different choices of $n$. Also plot the fitting error as a function of diff --git a/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex b/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex index 3a44cf2..7e185b6 100644 --- a/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex +++ b/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex @@ -51,6 +51,8 @@ reconstruct the stimulus a neuron has been stimulated with. data. \begin{parts} \part Estimate the STA and plot it. + \part Implement a function that does the reconstruction of the + stimulus using the STA. \part Implement a function that estimates the reconstruction error using the mean-square-error and express it relative to the variance of the original stimulus.