PDF-Version ECE IIT Kharagpur Version ECE IIT Kharagpur Version ECE IIT Kharagpur Version

1 Fig 92 brPage 6br Version 2 ECE IIT Kharagpur cos cos Fig93pgm k 12 otherwise truncated is if brPage 7br Version 2 ECE IIT Kharagpur 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0. cos eV RF RF RF RF RF RF RF RF RF RF eV eV cos cos cos cos RF RF RF RF RF eV eV eV RF RF RF RF RF RF RF eV eV cos cos cos 66 65 RF RF RF RF RF eV eV cos sin 66 65 5666 566 56 56 566 56 66 65 66 Like the Fourier transform a constant Q transform is a bank of 57356lters but in contrast to the former it has geometrically spaced center frequencies 0 where dictates the number of 57356lters per octave To make the 57356lter domains adjectant one Define quantization 2 Distinguish between scala r and vector quantization 3 Define quantization error and optim um scalar quantizer design criteria 4 Design a LloydMax quantizer 5 Distinguish between unifo rm and nonuniform quantization 6 Define rat They belong to mechanical group of nonconventional processes like Ultrasonic Machining USM and Abrasive Jet Machining A JM In these processes WJM and AJWM the mechanical energy of wa ter and abrasive phases are used to achieve material removal or ma Definition of Bilateral Laplace Transform. (b for bilateral or two-sided transform). Let s=. σ. +j. ω. Consider the two sided Laplace transform as the Fourier transform of . f(t). e. -. σ. t. . That is the Fourier transform of an . Theabovecalculationalsoallowsustoobtain~J2,~J2=J2z+1 2(J+J+JJ+)=(jhcos)2+1 2q jh(1+cos)(jh(1cos)+h)q jh(1+cos)q jh(1cos)(jh(1+cos)+h)q jh(1cos)=j(j+1)h2:(25)3.3WaveFunctionsWe The Fourier Transform. Development of Fourier Analysis. In 1748 Leonhard Euler used linear combinations of “normal modes” to describe the motion of a vibrating string. If the configuration at some point in time is a linear combination of normal modes, so is the configuration at any subsequent time. 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . John Dickey. University of Tasmania. Including slides from . Bob Watson. Synthesis Imaging School -- Narrabri, Sept. 2014. Outline. One dimensional functions. Fourier Series equations and examples. Fourier Transform examples and principles. discrète et . efficace. "Once the [FFT] . method. . was. . established. , . it. . became. . clear. . that. . it. . had. a long and . interesting. . prehistory. . going. back as far as Gauss. . “Hybrid Images,”. SIGGRAPH 2006. Why do we get different, distance-dependent interpretations of hybrid images?. ?. Slide: . Hoiem. Thinking in Frequency. Slides: . Hoiem. , . Efros. , and others. transforms, and . image analysis. Kurt Thorn. Nikon Imaging Center. UCSF. Think of Images as Sums of Waves. another wave. one wave. (2 waves). . =. (10000 waves. ). (…) =. … or “spatial frequency components”. 23 March 2011. Lowe. 1. Announcements. Lectures on both Monday, March 28. th. , and Wednesday, March 30. th. .. Fracture Testing. Aerodynamic Testing. Prepare for the Spectral Analysis sessions for next week: http://www.aoe.vt.edu/~aborgolt/aoe3054/manual/inst4/index.html. for speeding up . the . multiplication of polynomials. a. n Algorithm . Visualization. Alexandru. Cioaca. Defining the problem. Consider 2 polynomials of degree N. . We want to compute their product.