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Acoustic Signals and Audio Systems
Published in Francis F. Li, Trevor J. Cox, Digital Signal Processing in Audio and Acoustical Engineering, 2019
On rare occasions, an audio system or sub-system can have no input but generates a specific output. A typical example is an oscillator or signal generator. The signals and system shown in Figure 1.1 take the simplest form: there is only one input and one output. It is said to be a single-input-single-output system, or a SISO system. A system may take a multiple-input-single-output (MISO) form, and the other two are multiple-input-multiple-output (MIMO) and single-input-multiple-output (SIMO) systems. In this chapter, we focus on SISO systems. MIMO systems will be discussed in later chapters.
A new general formulation of a transfer-function matrices of 2D digital systems
Published in Australian Journal of Electrical and Electronics Engineering, 2019
Lakhdar Bouhamla, Amel Baha Houda Adamou-Mitiche, Lahcène Mitiche
Two-dimensional (2D) digital systems can be used in many technical fields such as seismic or geophysical signal processing, biomedical tomography and image processing (Aldhaheri 2003). In order to study 2D digital systems, we need to look at its transfer function. There are many forms to represent 2D digital systems like Roesser’s model, which is used in many fields such as stability analysis (Wang et al. 2017; Xuhui et al. 2017), controllability and observability (Koshita and Kawamata 2005; Tian, Zhang, and Xu 2012), model order reduction (Mitiche and Adamou-Mitiche 2014; Du et al. 2017; Zhou et al. 1994; Lu, Lee, and Zhang 1987), and in the frequency transformation for 2D digital filters (Yan, Xu, and Anazawa 2007; Yan, Shiratori, and Xu 2010). But in many cases, the transfer function should have a simple form to be useful in spectral transformations (Pendergrass, Mitra, and Jury 1976), for example, the transfer function uses a fraction involving matrices in the numerator and the denominator to simplify calculations. Many authors such as Luo, Lu, and Antoniou (1997) have showed interest in this form and called it transfer-function matrices. They proposed two algorithms, the first uses the case of single-input single-output system (SISO) and the second treats the multi-input multi-output case (MIMO). However, we have proposed one algorithm treats two systems (SISO and MIMO) which can do the same work in a simpler way. The proposed algorithm is based only on the mode symbolic like ‘syms’ command in the matlab software. We can create a matlab function ‘ss2tf2D’ to permit derivation the transfer-function matrices from a given Roesser model. The numerical examples presented in the last part of the paper proved the effectiveness of the proposed method.