{"product_id":"a-study-of-digital-audio-watermarking-schemes-in-the-wavelet-domain-von-shuo-tsung-chen","title":"A Study of Digital Audio Watermarking Schemes in the Wavelet Domain","description":"\u003cp\u003eThis book introduces two DWT-based audio watermarking schemes.Unlike the traditional entropy, we use the normalized energy instead of the probability. Thus, we redefined the entropy as an energy-proportion function that maps the low-frequency coefficients of DWT into a positive real value. Based on the invariant features and the properties of the energy-proportion function, the energy-proportion based scheme is then proposed.The second method presents an optimization-based group-amplitude quantization scheme for audio watermarking. Generally, the performance of a watermarking scheme is measured in terms of signal-to-noise ratio (SNR) and bit error rate (BER).The SNR and BER are used to measure the quality and the robustness of a watermarked audio. However, there is a trade-off between them which is still a challenge in the field of the watermarking. To overcome this problem, we propose to select these coefficients based on minimizing a wavelet-based functional. Finally, we obtained an important formula for audio watermarking by using Lagrange Principle.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783639829242\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783639829242","offer_id":39440498393181,"sku":"9783639829242","price":19.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6516b55b-24bf-43a4-967d-05f101f9d6bb.jpg?v=1774932652","url":"https:\/\/shop.autorenwelt.de\/en\/products\/a-study-of-digital-audio-watermarking-schemes-in-the-wavelet-domain-von-shuo-tsung-chen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}