) of spherical harmonics and an encoder mode matrix (ΞO×S). From the audio input signal (|x(Ωs)) a singular threshold value (σs) determined. On the encoder mode matrix a Singular Value Decomposition is carried out in order to get related singular values which are compared with the threshold value, leading to a final encoder mode matrix rank (rfine). Based on direction values (Ωl) of loudspeakers and a decoder Ambisonics order (Nl), corresponding ket vectors (|Y(Ωl)) and a decoder mode matrix (ΨO×L) are formed. On the decoder mode matrix a Singular Value Decomposition is carried out, providing a final decoder mode matrix rank (rfind). From the final encoder and decoder mode matrix ranks a final mode matrix rank is determined, and from this final mode matrix rank and the encoder side Singular Value Decomposition an adjoint pseudo inverse (Ξ+)† of the encoder mode matrix (ΞO×S) and an Ambisonics ket vector (|a′s) are calculated. The number of components of the Ambisonics ket vector is reduced according to the final mode matrix rank so as to provide an adapted Ambisonics ket vector (|a′l). From the adapted Ambisonics ket vector, the output values of the decoder side Singular Value Decomposition and the final mode matrix rank an adjoint decoder mode matrix (Ψ)† is calculated, resulting in a ket vector (|y(Ωl)) of output signals for all loudspeakers."/>
METHODS AND APPARATUS FOR HIGHER ORDER AMBISONICS DECODING BASED ON VECTORS DESCRIBING SPHERICAL HARMONICS
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METHODS AND APPARATUS FOR HIGHER ORDER AMBISONICS DECODING BASED ON VECTORS DESCRIBING SPHERICAL HARMONICS
METHODS AND APPARATUS FOR HIGHER ORDER AMBISONICS DECODING BASED ON VECTORS DESCRIBING SPHERICAL HARMONICS
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机译:基于描述球谐函数的矢量的高阶Ambisons解码的方法和装置
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The encoding and decoding of HOA signals using Singular Value Decomposition includes forming based on sound source direction values and an Ambisonics order corresponding ket vectors (|Y(Ωs)) of spherical harmonics and an encoder mode matrix (ΞO×S). From the audio input signal (|x(Ωs)) a singular threshold value (σs) determined. On the encoder mode matrix a Singular Value Decomposition is carried out in order to get related singular values which are compared with the threshold value, leading to a final encoder mode matrix rank (rfine). Based on direction values (Ωl) of loudspeakers and a decoder Ambisonics order (Nl), corresponding ket vectors (|Y(Ωl)) and a decoder mode matrix (ΨO×L) are formed. On the decoder mode matrix a Singular Value Decomposition is carried out, providing a final decoder mode matrix rank (rfind). From the final encoder and decoder mode matrix ranks a final mode matrix rank is determined, and from this final mode matrix rank and the encoder side Singular Value Decomposition an adjoint pseudo inverse (Ξ+)† of the encoder mode matrix (ΞO×S) and an Ambisonics ket vector (|a′s) are calculated. The number of components of the Ambisonics ket vector is reduced according to the final mode matrix rank so as to provide an adapted Ambisonics ket vector (|a′l). From the adapted Ambisonics ket vector, the output values of the decoder side Singular Value Decomposition and the final mode matrix rank an adjoint decoder mode matrix (Ψ)† is calculated, resulting in a ket vector (|y(Ωl)) of output signals for all loudspeakers.
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机译:使用奇异值分解对HOA信号进行编码和解码包括基于声源方向值和Ambisonics阶对应的ket矢量(| Y(Ω s Sub>))球谐函数和编码器模式矩阵(Ξ O× S Sub>)。从音频输入信号(| x(Ω s Sub>))确定一个奇异的阈值(σ s Sub>)。在编码器模式矩阵上执行奇异值分解,以便获得与阈值比较的相关奇异值,从而得出最终的编码器模式矩阵等级(r fin Sub> e Sub> Sub>)。根据扬声器的方向值(Ω l Sub>)和解码器Ambisonics阶数(N l Sub>),相应的ket矢量(| Y(Ω l Sub> )<图像alt =“ custom-character” file =“ US20190281400A1-20190912-P00001.GIF” he =“ 3.22mm” imgContent =“ character” imgFormat =“ GIF” wi =“ 0.68mm” />)和解码器模式形成矩阵(Ψ O×L Sub>)。在解码器模式矩阵上执行奇异值分解,提供最终的解码器模式矩阵等级(r fin Sub> d Sub> Sub>)。根据最终的编码器和解码器模式矩阵等级,确定最终模式矩阵等级,并根据该最终模式矩阵等级和编码器侧奇异值分解,确定一个伴随的伪逆(verse + Sup>)& #x2020; Sup>编码器模式矩阵(Ξ O×S Sub>)和Ambisonics ket向量(| a&#x2032; s Sub> )。根据最终模式矩阵等级减少Ambisonics ket矢量的分量数,以提供经过调整的Ambisonics ket矢量(| a&#x2032; l Sub> )。根据适应的Ambisonics ket向量,解码器侧奇异值分解的输出值和最终模式矩阵对伴随的解码器模式矩阵(Ψ)&#x2020; Sup>进行计算,得出ket向量(| y(Ω l Sub>)<图片alt =“自定义字符” file =“ US20190281400A1-20190912-P00001.GIF” he =“ 3.22mm” imgContent =“字符” imgFormat =“ GIF” wi =“ 0.68mm” />)所有扬声器的输出信号。
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