Complementary Filter Pairs

2009 ◽  
pp. 242-273 ◽  
Author(s):  
Ljiljana Milic
Keyword(s):  
Building Blocks ◽  
Digital Audio ◽  
Complementary Filter ◽  
Multichannel Filter ◽  
Analysis And Synthesis ◽  
Highpass Filter ◽  
Bandstop Filter ◽  
Synthesis Filter ◽  
Low Sensitivity ◽  
The Cost

Digital filters with complementary characteristics find many applications in practice. In this chapter, we concentrate on the properties and construction of complementary filters and filter pairs. An important application of complementary property is deriving a new transfer function from the existing one. A highpass filter can be obtained as a complement of the lowpass filter, and also a bandstop filter can be considered as a complement of the bandpass filter. Complementary lowpass/highpass and bandpass/bandstop filter pairs are popular because of very attractive implementations. Namely, the two complementary filters in the pair are implemented at the cost of a single one. Complementary filter pairs, usually lowpass/highpass filter pairs, are widely used whenever there is a need to split the signal into two adjacent subbands and reconstruct it after some processing performed in the subbands. They are used as basic building blocks in constructing analysis and synthesis multichannel filter banks. Moreover, the complementary filter pairs are used in constructing low sensitivity complex filtering structures. In some applications, such as signal analysis, the complementary filter pairs are used to separate a signal into two bands, and the filtered signals are processed without need to reconstruct it. Another application is digital audio where the signal is separated into two (three) bands resulting in the signals that are feed inside two (three) loudspeakers. In this chapter, at the beginning we introduce the basic definitions of the complementary properties that will be used through the chapter. We use then the complementary properties to construct FIR and IIR highpass filters from the existing lowpass filters. In the sequel, we consider the analysis and synthesis filter pairs. We present the design and efficient implementations of FIR and IIR complementary filter pairs. Chapter concludes with MATLAB Exercises for individual study.

Examples of Multirate Filter Banks

2009 ◽  
pp. 347-384
Author(s):  
Ljiljana Milic
Keyword(s):  
Filter Bank ◽  
Filter Banks ◽  
Signal Reconstruction ◽  
Sampling Rate ◽  
Perfect Reconstruction ◽  
Original Signal ◽  
Multichannel Filter ◽  
Analysis And Synthesis ◽  
Synthesis Filter ◽  
Channel Filter

The purpose of this chapter is to illustrate by means of examples the construction of the analysis and synthesis filter banks with the use of FIR and IIR two-channel filter banks as the basic building blocks. In Chapter VIII, we have discussed the design and properties of several types of complementary filter pairs, and in Chapters IX and X we have shown how those filter pairs are used in the synthesis of digital filters with sharp spectral constraints. In this chapter, we demonstrate the application of the complementary filter pairs as two-channel filter banks used to decompose the original signal into two channel signals and to reconstruct the original signal from the channel signals. Signal decomposition is referred to as the signal analysis, whereas the signal reconstruction is referred to as the signal synthesis. Thereby, the filter bank used for the signal decomposition is called the analysis filter bank, and the bank used for signal reconstruction is called the synthesis filter bank. The two-channel filter bank is usually composed of a pair of lowpass and highpass halfband filters, which satisfy some complementary properties. The bandwidth that occupies each of two channel signals is a half of the original signal bandwidth. Hence, the channel signals can be processed with the sampling rate which is a half of the original signal sampling rate. At the output of the analysis bank, the channel signals are down-sampled-by-two and then processed at the lower sampling rate. For the signal reconstruction, each of two channel signals has to be up-sampled-by-two first, and then fed into the synthesis bank. The sampling rate alteration in the two-channel filter bank causes the unwanted effects: the downsampling produces aliasing, and the up-sampling produces imaging. The essential feature of the two-channel filter bank is that the aliasing produced in the analysis side can be compensated in the synthesis side. This is achieved by choosing the proper combination of filters in the analysis and synthesis banks. The elimination of aliasing opens the possibility of the perfect (and nearly perfect) reconstruction of the original signal. The perfect reconstruction means that the signal at the output of the cascade connection of the analysis and synthesis bank is a delayed replica of the original input signal. Constructing perfect reconstruction and nearly perfect reconstruction analysis/synthesis filter banks is an unbounded area of research. An important and widely used application of the two-channel filter banks is the construction of multichannel filter banks based on the tree-structures where the two-channel filter bank is used as a building block. In this way, a multilevel multichannel filter bank can be obtained with either uniform or nonuniform separation between the channels. The two-channel filter banks are particularly useful in generating octave filter banks. Depending on applications, the filter bank can be requested to provide frequency-selective separation between the channels, or to preserve the original waveform of the signal. The example applications of the frequency-selective filter banks are audio and telecommunication applications. The importance of preserving the original waveform is related with the images. In the case of the discrete-time wavelet banks, the frequency-selectivity is less important. The main goal is to preserve the waveform of the signal. The purpose of this chapter is to illustrate by means of MATLAB examples the signal analysis and synthesis based on the two-channel filter banks. We give first a brief review of the properties of the two-channel filter banks with the conditions for aliasing elimination. We discuss the perfect reconstruction and nearly perfect reconstruction properties and show the solutions based on FIR and IIR QMF banks and the orthogonal two-channel filter banks. In the sequel, the tree-structured multichannel filter banks are considered. The process of signal decomposition and reconstruction is illustrated by means of examples.

scholarly journals NANO-studio, the design environment of filter banks implemented in standard CMOS technology

2021 ◽  
Author(s):  
Andrzej Handkiewicz ◽  
Mariusz Naumowicz
Keyword(s):  
Impulse Response ◽  
Filter Banks ◽  
Finite Impulse Response ◽  
Infinite Impulse Response ◽  
Cmos Process ◽  
Digital Cmos ◽  
Additional Advantage ◽  
Analysis And Synthesis ◽  
Optimization Parameters ◽  
Synthesis Filter

AbstractThe paper presents a method of optimizing frequency characteristics of filter banks in terms of their implementation in digital CMOS technologies in nanoscale. Usability of such filters is demonstrated by frequency-interleaved (FI) analog-to-digital converters (ADC). An analysis filter present in these converters was designed in switched-current technique. However, due to huge technological pitch of standard digital CMOS process in nanoscale, its characteristics substantially deviate from the required ones. NANO-studio environment presented in the paper allows adjustment, with transistor channel sizes as optimization parameters. The same environment is used at designing a digital synthesis filter, whereas optimization parameters are input and output conductances, gyration transconductances and capacitances of a prototype circuit. Transition between analog s and digital z domains is done by means of bilinear transformation. Assuming a lossless gyrator-capacitor (gC) multiport network as a prototype circuit, both for analysis and synthesis filter banks in FI ADC, is an implementation of the strategy to design filters with low sensitivity to parameter changes. An additional advantage is designing the synthesis filter as stable infinite impulse response (IIR) instead of commonly used finite impulse response (FIR) filters. It provides several dozen-fold saving in the number of applied multipliers.. The analysis and synthesis filters in FI ADC are implemented as filter pairs. An additional example of three-filter bank demonstrates versatility of NANO-studio software.

Filling in the gaps in bookkeeping and tax accounting: A comparative analysis of international and Russian practices

2021 ◽  
Vol 24 (3) ◽  
pp. 338-368
Author(s):  
Ekaterina V. OLOMSKAYA ◽  
Andrei A. AKSENT'EV
Keyword(s):  
Information Systems ◽  
Tax Planning ◽  
Accounting System ◽  
Accounting Systems ◽  
Accounting Information System ◽  
Foreign Countries ◽  
Analysis And Synthesis ◽  
The Cost ◽  
The Impact ◽  
Tax Accounting

Subject. This article explores the origination of the differences between bookkeeping and tax accounting, and their impact on decision-making. Objectives. The article aims to examine the reasons for the discrepancies between bookkeeping and tax accounting, reveal some aspects of accounting of differences from the position of their registration in a uniform accounting system or two parallel systems, if available, and determine the impact of such gaps on investment and management decisions. Methods. For the study, we used analysis and synthesis, observation, comparison, and the dialectical and data collection methods. Results. The article reveals the key features of the interaction between bookkeeping and tax accounting in Russia and foreign countries. It justifies that in today's economic realities, addressing shortcomings between these information systems is not a necessity, and shows the possible impact of differences on investment decisions. The article also graphically presents the application of cost-plus and balance-based methods of accounting for deferred taxes depending on the way information systems are organized, as well as their comparative characteristics. Conclusions and Relevance. The discrepancies between the two accounting systems provide an opportunity to assess the impact of tax planning on drawing a veil over the accounting profit. Studying the cost and balance methods, as well as the dialectic of the interaction of tax planning with the accounting information system, remain relevant. The results of the study can be useful to accounting and tax specialists, and other stakeholders who are studying the interactions of these information systems.

scholarly journals Design of Multiple Mailboxes

2020 ◽  
Vol 318 ◽  
pp. 01041
Author(s):  
Athena Baronos ◽  
Odysseas Manoliadis ◽  
Aristeidis Pavlidis
Keyword(s):  
3D Visualization ◽  
Building Blocks ◽  
Design Stage ◽  
Extensive Literature ◽  
3D Design ◽  
3D Cad ◽  
Domestic Use ◽  
The Right ◽  
The Cost ◽  
Apartment Complexes

In today’s world the design of multiple mailboxes comes to cover the evolution of logistics in delivering mail where the postman is not required to visit every user. In this research the 3D visualization is used for the design of multiple mailboxes for domestic use. It concerns the design of mailboxes in ergonomic building blocks and apartment complexes in 3D design so that they can be easily manufactured. Between the advantages of this design will be rapid production of ready-made products production of prototypes that enables testing at the design stage and reduces the time and the cost of production. The design when done with 3D CAD can be manufactured with modern machine tooling methods. In this paper after an extensive Literature Review the postal multiple mailboxes is used as a case study in the use of 3D CAD for 3D printing. A methodology is proposed that enables the examination of prototypes at the design stage according to specifications and allows the manufacturing department of a company to prepare the right tools and begin installing production lines. Conclusively this method gives the advantage of designing the product and supporting the production of scaffolds that can be functionally and ergonomically tested before finalizing the production.

scholarly journals Cost management in track facilities of railway transport infrastructure

2018 ◽  
Vol 216 ◽  
pp. 02005
Author(s):  
Irina Solskaya ◽  
Sergei Belomestnykh
Keyword(s):  
Management System ◽  
Cost Management ◽  
Transport Infrastructure ◽  
Railway Transport ◽  
Theoretical Concepts ◽  
Analysis And Synthesis ◽  
General Scientific ◽  
Cost Management System ◽  
Effective Use ◽  
The Cost

The purpose of the study is definition and substantiation of the main development points of assessment and planning functions in the cost management system of railway transport infrastructure. Methods used in the study include general scientific analysis and synthesis, dynamic and structural analysis of economic indicators, as well as textual analysis of regulatory documents. Such approach enables to formulate industry-specific peculiarities of cost assessment based on general theoretical concepts of effective use of factors of production. The result of this study is an author's developed approach to cost management system for railway transport infrastructure.

All-in-one silicon photonic polarization processor

Nanophotonics ◽  
2019 ◽  
Vol 8 (12) ◽  
pp. 2257-2267 ◽  
Author(s):  
Hailong Zhou ◽  
Yuhe Zhao ◽  
Yanxian Wei ◽  
Feng Li ◽  
Jianji Dong ◽  
...  
Keyword(s):  
Large Scale ◽  
Optical Network ◽  
Multiple Input Multiple Output ◽  
Building Blocks ◽  
Phase Shifters ◽  
Single Function ◽  
Gradient Descent Algorithm ◽  
Input Multiple Output ◽  
Polarization Functions ◽  
The Cost

AbstractWith the great developments in optical communication technology and large-scale optical integration technology, it is imperative to realize the traditional functions of polarization processing on an integration platform. Most of the existing polarization devices, such as polarization multiplexers/demultiplexers, polarization controllers, polarization analyzers, etc., perform only a single function. Definitely, integrating all these polarization functions on a chip will increase function flexibility and integration density and also cut the cost. In this article, we demonstrate an all-in-one chip-scale polarization processor based on a linear optical network. The polarization functions can be configured by tuning the array of phase shifters on the chip. We demonstrate multiple polarization processing functions, including those of a multiple-input-multiple-output polarization descrambler, polarization controller, and polarization analyzer, which are the basic building blocks of polarization processing. More functions can be realized by using an additional two-dimensional output grating. A numerical gradient descent algorithm is employed to self-configure and self-optimize these functions. Our demonstration suggests great potential for chip-scale, reconfigurable, and fully programmable photonic polarization processors with the artificial intelligence algorithm.

Consciousness in the 20th Century: The Role of the Group

1995 ◽  
Vol 28 (3) ◽  
pp. 339-353
Author(s):  
Ronald Sandison
Keyword(s):  
Human Development ◽  
20Th Century ◽  
Building Blocks ◽  
Collective Consciousness ◽  
Reproductive Process ◽  
Loss Of Contact ◽  
The Cost ◽  
New Phase ◽  
Human Awareness

This article postulates that the collective consciousness of Western humankind has been enhanced during the 20th century. Three areas of human experience, the group, the reproductive process and mind expanding drugs, are used as models to test this hypothesis. It is concluded that there have been profound changes in human awareness and expectations at the cost of loss of contact with the `building blocks' of the psyche. The importance of the small group as `midwife' to this new phase in human development is considered.

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