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Examples
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Also publishing that year was Erwin Schrodinger, whose paper "Quantization as an Eigenvalue Problem" in Annalen der Physik introduced described what would come to be known as the Schrodinger equation, and would lay the foundation for modern quantum mechanics.
James Kakalios: The Amazing Story Of Quantum Mechanics! James Kakalios 2010
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Also publishing that year was Erwin Schrodinger, whose paper "Quantization as an Eigenvalue Problem" in Annalen der Physik introduced described what would come to be known as the Schrodinger equation, and would lay the foundation for modern quantum mechanics.
James Kakalios: The Amazing Story Of Quantum Mechanics! James Kakalios 2010
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Schrödinger built further on the ideas of de Broglie and wrote a fundamental paper on "Quantization as an eigenvalue problem" early in 1926.
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Quantization of space also doesn't jive well with the infinite density either.
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◦ Midtread quantizers have odd number of output ◦ Vector Quantization.
Recently Uploaded Slideshows anithabalaprabhu 2010
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Quantization Discretization along energy axis Every time interval the signal is converted to a digital equivalent Using 2 bits the following signal can be digitized Digitization Examples Each sample quantized, Example: 8,000 samples/sec, i.e., rounded 256 quantized values
Recently Uploaded Slideshows anithabalaprabhu 2010
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Vector Quantization (VQ) According to Shannon's original work on Shannon s information theory, any compression system p performs better if it operates on vectors or p groups of samples rather than individual symbols or samples.
Recently Uploaded Slideshows anithabalaprabhu 2010
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Original size 640x480x3 = 922KB JPEG Compression Ratios: 30: 1 to 50: 1 compression is possible with small to moderate defects 100: 1 compression is quite feasible for low-quality purposes JPEG Steps 1 Block Preparation: From RGB to YUV (YIQ) planes 8x8 blocks 2 Transform: 2-D Discrete Cosine Transform (DCT) on blocks (lossy?) 3 Quantization: Quantize DCT Coefficients
Recently Uploaded Slideshows anithabalaprabhu 2010
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Nonuniform Scalar Quantization Minimize the total distortion by setting the derivative of Eq.
Recently Uploaded Slideshows anithabalaprabhu 2010
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Quantization compression algorithms are lossy. p g y 8.5 8 5 Transform Coding 8.6
Recently Uploaded Slideshows anithabalaprabhu 2010
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