List of Figures
1.1 Discrete Time Frequencies
2.1 Over and critically damped SHO
2.2 The underdamped case
3.1 Theoretical and approximate integrals, one pole
3.2 Magnitude response for SHO driving function
3.3 Phase error of the approximation
3.4 Phase error after a time shift
4.1 The waveform of a bell
4.2 The waveform of an “organ”
6.1 Efficiency of VectorFloat routines
6.2 Matrix multiplication timing
8.1 Transfer Function for SHO
8.2 Square pulse convolved with Gaussian
10.1 Comparing window shapes
10.2 The cosine-squared window is a partition of unity
10.3 Nine and ten point cosine-squared windows
10.4 Transformed Gaussian and cosine-squared windows
10.5 Transformed super-Gaussian window
10.6 Fourier transforms of odd length windows
10.7 The sum of two sinusoids
10.8 The three windows applied to the waveform of figure 10.7
10.9 Transform of two sines using rectangular window
10.10 Transform of two sines using Gaussian window
10.11 Transform of two sines using super-Gaussian window
10.12 Transform of two sines using cosine-squared window
10.13 Impulse response of two simple harmonic oscillators
10.14 Three window functions used for impulse responses
10.15 Theoretical frequency response
10.16 Transform of two SHOs using rectangular window
10.17 Transform of two SHOs using Gaussian window
10.18 Transform of two SHOs using super-Gaussian window
10.19 Transform of two SHOs using cosine-squared window
10.20 The super-Gaussian and a “Gaussian-pulse” window
10.21 The transforms of ...
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