Y)-1)(1/(length(Y)0.001)); plot(f, abs(Y)); title('FFT Magnitude Spectrum'); xlabel('Frequency (Hz)'); ylabel('|Y(f)|'); ``` Spectrogram: ```matlab spectrogram(x, 128, 120, 128, 1/0.001); title('Spectrogram of Signal'); ``` 2. Bode and Nyqu
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grangian At the heart of this formulation lies the Lagrangian function (L), defined as: \[ L(q_i, \dot{q}_i, t) = T(q_i, \dot{q}_i) - V(q_i) \] where: \( q_i \) are the generalized coordinates describing the system's configuration. \( \dot{q}_i \) are the generalized velocities. \( T \) is t
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