Virtual Flute - CCRMA
Virtual Flute REALSIMPLE Project∗ Edgar J. Berdahl and Julius O. Smith III Center for Computer Research in Music and Acoustics (CCRMA), …
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Introduction to Digital Audio - CCRMA
ccrma.stanford.edu1 Introduction to Digital Audio Before the development of high-speed, low-cost digital computers and analog-to-digital conversion circuits, all recording and manipulation of sound was done using analog techniques.
LUSH: An Organic Eco+Music System - CCRMA
ccrma.stanford.eduLush can have up to 5 playheads and 2 playqueues simultaneously (figure 4). One green playhead/playqueue are instantiated by default in order to play the built-in synthesizer. In contrast, the rest of playheads and playqueue are designed to send data of …
Flowchart Kitchen - CCRMA
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The Laplace Transform - CCRMA
ccrma.stanford.eduThe Laplace Transform can also be seen as the Fourier transform of an exponentially windowed causal signal x(t) 2 Relation to the z Transform The Laplace transform is used to analyze continuous-time systems. Its discrete-time counterpart is the z transform:
An introduction to ROC analysis - Stanford University
ccrma.stanford.eduAn introduction to ROC analysis Tom Fawcett Institute for the Study of Learning and Expertise, 2164 Staunton Court, Palo Alto, CA 94306, USA Available online 19 December 2005 Abstract ... sensitivity ¼recall specificity ¼ ...
Sigma-Delta ADCs and DACs - CCRMA
ccrma.stanford.eduarchitectures. The key concepts involved in understand ing the operation of sigma-delta converters are oversampling, noise shaping (using a sigma-delta modulator), digital filtering, and decimation. 0VERSAMPLING The concept of oversampling has been pre viously discussed in Section III, and is illus trated again in Figure 6.2 and 6.3. As was
State Space Models - Stanford University
ccrma.stanford.edusolving the ODE • ODE can be nonlinear and/or time-varying • The sampling interval Tn may be fixed or adaptive 7 State Definition We need a state variable for the amplitude of each physical degree of freedom Examples: • Ideal Mass: Energy = 1 2 mv2 ⇒ state variable =v(t) Note that in 3D we get three state variables (vx,vy,vz ...
Applications of the Gauss-Newton Method
ccrma.stanford.eduThe final values of u and v were returned as: u=1.0e-16 *-0.318476095681976 and v=1.0e-16 *0.722054651399752, while the total number of steps run was 3.It should be noted that although both the exact values of u and v and the location of the points on the circle will not be the same each time the program is run, due to the fact that random points are generated, the program …
Euclidean Distance Matrix - Stanford University
ccrma.stanford.eduMatrix D has N2 entries but only N(N−1)/2 pieces of information. In Figure 142 are ... specifically, each entry must be nonnegative,5.2 the main diagonal must be 0,5.3 and an EDM must be symmetric. The fourth property provides upper and lower bounds for each entry. Property 4 is true more generally when there are no restrictions on indices i ...
Matrix Calculus - Stanford University
ccrma.stanford.eduAppendix D Matrix Calculus From too much study, and from extreme passion, cometh madnesse. −Isaac Newton [205, § 5] D.1 Gradient, Directional derivative, Taylor series D.1.1 Gradients Gradient of a differentiable real function f(x) : RK→R with respect to its vector argument is defined uniquely in terms of partial derivatives ∇f(x) ,
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