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Signal Processing in C by Thomas B. Passin, Christopher E. Reid

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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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